From 377ce9d31e750bce0ff1bef565e9f794a6be5c10 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Jakob=20Korde=C5=BE?= Date: Fri, 22 Sep 2023 21:40:06 +0200 Subject: [PATCH] Initial commit --- .gitignore | 7 + .npmrc | 3 + .prettierignore | 1 + 1_radioamaterji.md | 123 + 2_radijske_kom.md | 171 + 3_predpisi.md | 67 + 4_pravila_praksa.md | 1326 ++++++ 5_elektrotehnika.md | 1965 ++++++++ 6_radiotehnika.md | 1384 ++++++ 7_antene.md | 976 ++++ 8_motnje_meritve.md | 404 ++ README.md | 11 + favicon.ico | Bin 0 -> 15406 bytes images/CQ_SOTA_QRP_.jpg | Bin 0 -> 117884 bytes images/EME-Array.jpg | Bin 0 -> 120925 bytes images/Qsl 2022 v2.jpg | Bin 0 -> 1323212 bytes images/RKV_logo.svg | 1 + images/ac.jpg | Bin 0 -> 25679 bytes images/ac_generator.jpg | Bin 0 -> 99949 bytes images/ac_sin.jpg | Bin 0 -> 18629 bytes images/ac_sin_volt.jpg | Bin 0 -> 20588 bytes images/ac_voltage.jpg | Bin 0 -> 23575 bytes images/am_detektor.jpg | Bin 0 -> 40003 bytes images/am_detektor_circ.jpg | Bin 0 -> 25804 bytes 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+++ b/.gitignore @@ -0,0 +1,7 @@ +node_modules +.DS_Store +dist +*.local +index.html +.remote-assets +components.d.ts diff --git a/.npmrc b/.npmrc new file mode 100644 index 0000000..05932b8 --- /dev/null +++ b/.npmrc @@ -0,0 +1,3 @@ +# for pnpm +shamefully-hoist=true +auto-install-peers=true diff --git a/.prettierignore b/.prettierignore new file mode 100644 index 0000000..2e1fa2d --- /dev/null +++ b/.prettierignore @@ -0,0 +1 @@ +*.md \ No newline at end of file diff --git a/1_radioamaterji.md b/1_radioamaterji.md new file mode 100644 index 0000000..bc302cc --- /dev/null +++ b/1_radioamaterji.md @@ -0,0 +1,123 @@ +--- +layout: cover +--- + +# Radioamaterji in radijske komunikacije + +--- + +# Pomen + +Kaj pomeni radioamaterstvo? + +**RADIO** – tehnologija, ki omogoča prenos signalov z modulacijo elektromagnetnih valov, ki imajo nižje frekvence kot svetloba. + +**AMATERSTVO** – nepoklicna dejavnost – ljubiteljsko. + +  + +**RADIOAMATERSTVO** + +- ljubiteljsko, nepoklicno ukvarjanje z radijem oz. + radijsko tehniko. +- aktivnost, gibanje, organizacija, izobraževanje, + ljubezen, način življenja, tehničnega razmišljanja. + +**Kdo se lahko ukvarja?** + +- Ustrezno pooblaščene osebe – opravljen izpit +- Ukvarjajo se ljubiteljsko, brez pridobitniških namenov + +--- + +# Zgodovina + + + + + + + + + +
1844– prva telegrafska zveza (Morzejev telegraf)
1876– prvi telefon (Bell)
1895prvi prenosi sporočil preko radijskih valov
1899– prvi prenos med Francijo in Anglijo
1903prvi prenos med Evropo in Ameriko
1904– iznajdba diode
1907– iznajdba triode
+ +--- + + + + + + + + + + +
20. stol.– množični začetek ukvarjanja z radioamaterstvom
1923– obojesmerna komunikacija čez Atlantik
1924– zveza med Anglijo in Novo Zalandijo
1925– Radioklub Ljubljana
1946– ustanovljena Zveza Radioamaterjev Slovenije - ZRS
1955radioamaterska zveza z odbojem od meteorskih sledi
1960radioamaterska zveza z odbojem od Lune
1961prvi radioamaterski satelit OSCAR
+ +--- + +# Mednarodna radioamaterska organizacija – IARU + +
+
+ +**1925 v Parizu** – Amateur Radio Congress + +- Prvotno 26 držav – danes 164 +- Obravnavali delo radioamaterjev +- **Ustanovili IARU** + +Prve naloge: + +- Izmenjava informacij o radioamaterskih frekvencah +- Izmenjava QSL kartic + +**Sedež v Združenih državah Amerike** + +
+ + +
+ +--- + +**Razdeljena na 3 regione** + +ZRS postala članica 1992 – **v 1. regionu** + + + +--- + +# Zveza Radioamaterjev Slovenije – ZRS + +
+
+ +Je prostovoljna, samostojna, nepridobitna zveza radioklubov. +V skladu z predpisi izvaja dejavnost javnega interesa. + +**Ustanovljena 1946** +Na začetku kot del ZRJ (Zveze Radioamaterjev Jugoslavije) +Leta **1992 uveljavljena na IARU** + +V Sloveniji okoli 4000 radioamaterjev + +- Približno 1000 včlanjenih v klube +- Približno 80 klubov +
+ + +
+ +--- + +**Naloge:** + +- Skrb za razvoj radioamaterstva v Sloveniji +- Vzgoja in izobraževanje članstva na področju elektrotehnike in telekomunikacij +- Zastopanje skupnih interesov radioamaterjev v Sloveniji +- Zastopanje Slovenije v mednarodni radioamaterski sceni +- Razvoj in vzdrževanje radioamaterskih sistemov +- Organizacija QSL biroja za radioklube in njihove člane diff --git a/2_radijske_kom.md b/2_radijske_kom.md new file mode 100644 index 0000000..989f66e --- /dev/null +++ b/2_radijske_kom.md @@ -0,0 +1,171 @@ +--- +layout: cover +--- + +# Radijske komunikacije + +--- + +# Osnovni pojmi o radijskih komunikacijah + +Kaj so radijske komunikacije? + +**TELEKOMUNIKACIJE** – vsak **prenos, oddaja ali sprejem signalov**, pisanih besedil, slik ali zvokov ali kakršnihkoli drugih sporočil **po žičnih, radijskih, optičnih** ali drugih elektromagnetnih sistemih. + +Lahko so: +- Obojesmerne med udeleženci +- Enosmerne za več udeležencev (DIFUZIJA) + +--- + +**Radijski valovi – elektromagnetni valovi, ki imajo frekvence nižje od 3 THz oziroma valovne dolžine daljše od 0.1 mm.** + +Praktično se uporabljajo valovi od 9 kHz do 300 GHz + + + +--- + +## **ITU** – International Telecomunications Union + +
+
+ +Ukvarja se s tehničnim napredkom in razvojem telekomunikacij, +mednarodnim sodelovanjem, … + +**Deluje v okviru OZN** (Združenih Narodov) +**Sedež je v Ženevi**, Švica + +**Ustanovljena 1865** + +**Slovenija postala članica 1992** +
+ + +
+ +--- + +## **ITU pravilnik** o radiokomunikacijah + +
+
+ +Ureja celotno področje radijskih komunikacij: + +- Vrste radiokomunikacijskih služb +- Razporeditev radijskih frekvenc +- Definicije moči in anten +- Pravila za vzpostavljanje radijskih zvez +- Klicne znake radijskih postaj +- Dokumente za radijske postaje +- … +
+ + +
+ +--- + +## **Radijska postaja** + +**En ali več oddajnikov oziroma +sprejemnikov s pripadajočimi napravami** na +enem mestu, ki so potrebne za opravljanje +radiokomunikacijeske službe + +- Sestavljajo samo oddajniki oz. samo sprejemniki +- Pripadajoče naprave so del postaje (antene, …) +- Poznamo kombinacijsko postajo (transceiver) + +--- + +## **Radiokomunikacijska služba** + +Služba, ki vključuje +**prenos, oddajo in/ali sprejem radijskih valov v +posebne telekomunikacijske namene** + +Poznamo jih 10 – tukaj jih je nekaj: +- Radiofuzna služba in radiofuzna satelitska služba +- Zrakoplovna služba in zrakoplovna satelitska služba +- Pomorska služba in pomorska satelitska služba +- Kopenska služba in kopenska satelitska služba +- **Amaterska služba in amaterska satelitska služba** + +--- + +## **Amaterska služba** +Radiokomunikacijska služba +(dejavnost), **s katero se ukvarjajo amaterji** – +**ustrezno pooblaščene osebe**, ki se izključno iz +osebnih pobud in brez pridobitniških namenov +zanimajo za radiotehniko, in katere je namen +samoizobraževanje, medsebojno komuniciranje in +tehnične raziskave + +  + +## **Amaterska satelitska služba** + +Radiokomunikacijska služba (dejavnost), ki uporablja +**vesoljske postaje na Zemljinih satelitih za iste namene kot amaterska služba** + +--- + +## **Amaterska radijska postaja** + +**Radijska postaja v radioamaterski dejavnosti**, +namenjena za medsebojno komuniciranje, samoizobraževanje, +in tehnično raziskovanje, ki ga opravljajo +radioamaterji izključno iz osebnih nagibov, brez +materialnih koristi in imajo opravljen izpit. + +  + +CB postaje (Citizen Band) ne spadajo v radioamatersko +dejavnost – zakone določa država. + +--- + +# Radioamaterska razdelitev sveta + +### IARU / ITU Regioni +- Slovenija je v **1.** + + + +--- + +### ITU območja (cone) +- Slovenija je v **28.** + + + +--- + +### CQ območja (cone) +- Slovenija je v **15.** + + + +--- + +# Mednarodna razdelitev radijskih frekvenc + +Razdelitev radijskih frekvenc določa IARU. Vsak region ima svojo razdelitev frekvenc. + +$$ \text{valov. dolž.} = \frac{3 \cdot 10^8 \frac{m}{s}}{\text{frekv.}} $$ + +- [S5 Band Plans](https://www.radioamater.si/dejavnosti/s5-band-plans/) +- [IARU Region 1 Band plans](https://www.iaru-r1.org/reference/band-plans/) +- [Splošni akt - 4. člen (radiofrekvenčni pasovi in največje dovoljene moči)](https://www.uradni-list.si/glasilo-uradni-list-rs/vsebina/2023-01-0256/splosni-akt-o-pogojih-za-uporabo-radijskih-frekvenc-namenjenih-radioamaterski-in-radioamaterski-satelitski-storitvi) + +--- + + + +--- + + diff --git a/3_predpisi.md b/3_predpisi.md new file mode 100644 index 0000000..fb93ab4 --- /dev/null +++ b/3_predpisi.md @@ -0,0 +1,67 @@ +--- +layout: cover +--- + +# Predpisi za amaterske radijske komunikacije + +---- + +# Mednarodni predpisi + +Kaj lahko počnemo? + +1. **Imeti moramo izpit** (z možnim preizkusom Morzejevih znakov) +2. Smejo se oddajati sporočila tehnične narave +3. **Maksimalne moči določajo državni organi** +4. Svoj **klicni znak** moramo ponavljati v kratkih presledkih (vsaj vsakih 10 minut) +5. Vzpostavljanje zvez s tuijimi radioamaterji je dovoljeno +6. **Veljajo vsa splošna določila ITU RR** (razdelitev frekvenc, …) + +---- + +# Slovenski predpisi + +Kaj določa država? + +**Delo radioamaterjev v Sloveniji je urejeno z zakoni in drugimi predpisi** + +- Zakon o telekomunikacijah (ZTel) +- Splošni akt o načrtu uporabe radijskih frekvenc (NURF-5) +- Splošni akt o pogojih za uporabo radijskih frekvenc, namenjenih radioamaterski in radioamaterski satelitski storitvi + +  + +- **Predpisani frekvenčni pasovi** v skladu s opravljenim izpitom (A ali N) +- **Predpisane so vrste oddaj** v skladu s opravljenim izpitom (A ali N) +- **Predpisane so največje moči** oddaje v skladu s opravljenim izpitom (A ali N) +- Vse oddaje radioamaterskih postaj se morajo **indentificirati s klicnim znakom** + +---- + +# CEPT licenca + +
+
+ +**CEPT radioamatersko dovoljenje** – dovoljenje, s katerim lahko radioamater upravlja radioamatersko dejavnost v državi, ki ima uveljavljena CEPT priporočila. + +**Pri nas ga izda AKOS** (Agencija za komunikacijska omrežja in storitve RS) + +Slovenija je postala članica CEPT-a 1993, prvo dovoljenje pa izdala 1998 +
+ + +
+ +--- + +## Priporočili CEPT T/R 61-01 in T/R 61-02 + +**CEPT T/R 61-01** – omogoča **začasno uporabo** prenosne oz. mobilne **amaterske radijske postaje v katerikoli državi**, ki je to priporočilo uveljavila. Velja za +**največ 3 mesece**. + +Primer: **9A**/S59VEG → Slovenska postaja (S5) je na obisku na hrvaški (9A) + +  + +**CEPT T/R 61-02** – označuje se tudi kot HAREC, obravnava usklajene izpite za radioamaterje. Namenjen je radioamaterjem, ki želijo ostati v tuji državi več kot 3 mesece. diff --git a/4_pravila_praksa.md b/4_pravila_praksa.md new file mode 100644 index 0000000..aa97e18 --- /dev/null +++ b/4_pravila_praksa.md @@ -0,0 +1,1326 @@ +--- +layout: cover +--- + +# Pravila in praksa
v amaterskih radijskih komunikacijah + +---- + +# Vspostavljanje amaterskih radijskih zvez + +TODO: Slika?? + +---- + +##### Načini vzpostavljanja zvez + +# Telegrafija +Uporaba tipkala + +Uporablja se Morzejeva abeceda. +Prenaša se znak po znak, uporabljajo se +kratice. Hitrosti oddajanja med 25 do 200 znakov na +minuto. + +
+ + + +
+ +--- + +##### Načini vzpostavljanja zvez + +# Telefonija (Phone) +Uporaba govora + +Zveze, vzpostavljene v govornem jeziku, ki ga poznata oba sogovornika. +Za slabše povezave uporabljamo tablice črkovanja. + +
+ + +
+ +--- + +##### Načini vzpostavljanja zvez + +# Ostale vrste +Razni digitalni načini + +
+
+ +- SSTV – slow scan television – mirujoče slike +- FSTV – fast scan television – gibljive slike +- ATV – amateur television – gibljive slike + +
+
+ +- Digitalne komunikacije: + - **FT8** / FT4 + - RTTY + - AMTOR + - PACKET RADIO + - … +
+ + +
+
+ + +
+ +---- + +# Klicni znaki +S čem se identificiramo? + +**Klicni znak** – oznaka, sestavljena iz črk in/ali številk, s +katero se radijska postaja indentificira. Oblika klicnega +znaka je predpisana v ITU RR. + +
+
+ +
+S5 9VEG +
+ + + + +
S5Prefiks – "Država"
9VEGSufiks – Postaja znotraj "države"
+
+ +
+ +##### **Prefiksi** + + + + + + + + + + + +
S5Slovenija
9AHrvaška
IItalija
OEAvstrija
HAMadžarska
FFrancija
DA-DRNemčija
EAŠpanija
G M …Anglija
+
+
+ +--- + +## Pripone + + + + + + +
/Mmobilna (mobile) postaja (v vozilu)
/MMpomorska mobilna (maritime mobile) postaja (čoln)
/AMzrakoplovna mobilna (aeronautical mobile) postaja
/Pprenosna (portable) postaja
+ +  + +Primer: S59VEG/**MM** → Postaja S59VEG oddaja s čolna (MM) + +[Razpoznavanje klicnih znakov](https://cq.jkob.cc/#/callsign) + +---- + +# Q-kod + +- **Dolge 3 znake** +- **Začnejo se s Q** +- Uporabljajo jih tudi druge radiokomunikacijske službe + +Lahko se uporablja v obliki vprašanja in odgovora: + + + + + + + + +
QRV?
QRV
Ali si pripravljen?
Pripravljen sem.
QRL?
QRL
Ali imaš zvezo? / Je frekvenca zasedena?
Imam zvezo (ne moti)
QRU?
QRU
Imaš kaj zame?
Nimam nič zate.
+ +--- + +Kodam dodajamo tudi argumente? + + + + + +
QRG 21125Tvoja točna frekvenca je 21125 kHz
QRB 10Razdalja med postajama je 10 km
QRW S50XXX 21125Obvesti S50XXX, da ga kličem na frekvenci 21125 kHz
+ +  + +**Q–kod se v telefoniji** _načeloma_ **ne uporablja!** + +Vse Q–kode v priročniku na strani 247 - 248 + +--- + + + + + + + + + + + + + + + + + + + + + + +
Q-kodaVprašanjeOdgovor
QRKKakšna je razumljivost mojega signala?Razumljivost tvojega signala je … (1-5).
QRMAli te motijo druge postaje?Motijo me druge postaje.
QRNTe moti statika?Moti me statika.
QRONaj povečam oddajno moč?Povečaj oddajno moč.
QRPNaj zmanjšam oddajno moč?Zmanjšaj oddajno moč.
QRSNaj oddajam počasneje?Oddajaj počasneje.
QRTNaj preneham z oddajanjem?Prenehaj z oddajanjem.
QRZKdo me kliče?Kliče te …
QRVSi pripravljen?Pripravljen sem.
QSBAli moj signal niha?Tvoj signal niha.
QSLLahko potrdiš sprejem?Potrjujem sprejem.
QSOAli lahko komuniciraš z … direktno?Z … lahko komuniciram direktno.
QSYAli naj se premaknem z oddajanjem na drugo frekvenco?Pomakni se z oddajanjem na drugo frekvenco.
QRXKdaj me boš ponovno poklical?Ponovno te bom poklical ob … uri na … kHz (MHz).
QTHKje je tvoja lokacija?Moja lokacija je …
+ +---- + +# RST sistem +Sporočanje kvalitete zveze + +
+
+ +Tri zaporedne številke: + + + + +
RST
Razumljivost
Readibility
Jakost
Strength
Ton
Tone
1-51-91-9
+
+
+ +**V telefoniji** se uporabljata **samo RS**. + +Sistem se uporablja kot povratna informacija pošiljatelju. +Rečemo mu tudi raport (report). + +Na modernih postajah pa je vgrajen tudi S-meter. + + +
+
+ +--- + +Primer: +>RST je **558** +>Razumljivost je odlična (**5**/5) +>Moč signala je srednja (**5**/9) +>Ton je skoraj popoln (**8**/9) + +---- + +# Kratice +

+ +Uporabljajo se v **telegrafiji**. +Če je kratica nadčrtana, jo pošljemo kot en znak (brez presledkov med črkami). + + + + + + + + +
KA– začetek zveze
VA ali SK– konec zveze
VA CL– konec zveze in izključi postajo
AR ali +– konec sporočila
AR K– konec sporočila in pripravljen na sprejem
AR KN- konec sporočila in pripravljen na sprejem samo klicane postaje
+ +Vse kratice so v priročniku na strani 249-256 + +--- + + + + + + + + + + + + + + + +
CQ– splošni poziv vsem postajam
CFM– potrjujem
GD– Good day (dober dan)
CS– klicni znak
DR– Dear (dragi, draga)
DE– tukaj, od (klicatelja)
PSE– prosim
NW– zdaj (now)
DX– Oddaljen; daleč stran
TFC– promet (traffic)
OM– old man (star prijatelj)
TU– hvala
R– sprejeto (roger)
+ +--- + +### Primer zveze +

+ +>CQ CQ CQ DE S59VEG S59VEG CQ K +>S59VEG DE S50HQ K +>S50HQ S59VEG GD OM UR RST 599 599 QSL? K +>S59VEG S50HQ QSL TU FER 599 UR 589 589 K +>S50HQ S59VEG TU UR WX? K +>… + +  + +>CQ CQ CQ tukaj S59VEG S59VEG CQ, poslušam +>S59VEG tukaj S50HQ +>S50HQ S59VEG dober dan stari prijatelj, tvoj raport je 59 59, si sprejel? +>S59VEG S50HQ sprejeto, hvala za 59, tvoj raport je 58 58 +>S50HQ S59VEG hvala, kakšno vreme imate? +>… + +---- + +# Amaterske zveze v telegrafiji + +## Morse-kod + +
+
+ +Samuel Morse 1791-1872 + +1835 objavil žični elektromagnetni telegraf in sistem +pretvorbe besedila – Morzejevo abecedo + +Kasneje sprejet mednarodni morse kod, ki se danes +uporablja v telegrafiji + +Prva javna zveza leta 1844 (Washington – Baltimore) +Po iznajdbi radia govorimo o **radiotelegrafiji** + +
+ +
+ +--- + +**Dolžina posameznih elementov Morse-koda je točno določena (1 enota označena z e):** +- Kratek impulz _"dit"_ (•) - 1e +- Dolg impulz _"dah"_ (–) - 3e +- Premor med impulzi v znaku - 1e +- Premor med znaki v besedi - 3e +- Premor med besedami - 7e + +  + + + +---- + +# Amaterske zveze v telefoniji +

+ +Zveze potekajo **v skupnem pogovornem jeziku** (z tujimi radioamaterji največkrat v angleščini) + +V zvezah se kratice in Q-kod praviloma ne uporablja, vendar to ne pomeni da se ne bodo. + +Komunikacija poteka po istem kopitu kot pri telegrafiji. + +Za slabše povezave se uporabljajo tablice črkovanja (mednarodna ali slovenska). + +---- + +## Mednarodna in slovenska tablica črkovanja + +
+ + + + + + + + + + + + + + +
AAlphaNNovember
BBravoOOscar
CCharliePPapa
DDeltaQQuebec
EEchoRRomeo
FFoxtrotSSierra
GGolfTTango
HHotelUUniform
IIndiaVVictor
JJulieteWWhiskey
KKiloXX-ray
LLimaYYankee
MMikeZZulu
+ + + + + + + + + + + + + + + + + +
AAnkaranOOrmož
BBledPPiran
CCeljeRRavne
ČČatežSSoča
DDravaŠŠmarje
EEvropaTTriglav
FFalaUUnec
GGoricaVVelenje
HHrastnikZZalog
IIzolaŽŽalec
JJadranQQueen
KKamnikWDvojni V
LLjubljanaXIks
MMariborYIpsilon
NNanos
+ + + + + + + + +
1Unaone6Soxisix
2Bissotwo7Setteseven
3Terrathree8Oktoeight
4Katefour9Novenine
5Pantafive0Nadazero
,Decimal.Stop
+
+ +--- + +# Vsebina zveze +Kako poteka zveza? + +Vsaka radijska zveza je sestavljena iz več relacij. +Relacija je del zveze, ki jo odda eden od operaterjev. + +### **Relacije** +1. Klicanje +2. Vzpostavitev zveze +3. Izmenjava ostalih podatkov +4. Zaključek zveze + +--- + +##### Vsebina zveze +# Klicanje +CQ CQ CQ + +**Poziv k zvezi** (s splošnim klicom **CQ**) + +Primer klica v telegrafiji/telefoniji: +>CQ CQ CQ DE S59VEG S59VEG K +>CQ CQ CQ this is S59VEG S59VEG over +>CQ CQ CQ tukaj S59VEG S59VEG poslušam + +Primer odgovora na poziv: +>K1ZZ K1ZZ DE S59VEG S59VEG S59VEG AR K + +Če smo klicali na frekvenci namenjeni za klicanje, se po vspostavljeni zvezi navadi premaknemo na drugo frekvenco. + +--- + +## Klicanje kontinenta/države/DX postaje + +Primer klica kontinenta/države/DX postaje: +>CQ CQ **EU EU** DE S59VEG S59VEG K +>CQ CQ **9A 9A** DE S59VEG S59VEG K +>CQ CQ **DX DX** DE S59VEG S59VEG K + +## Kaj je DX? + +Pomeni oddaljena država + +Za Slovenijo: +- HF – vse izven Evrope +- VHF/UHF/SHF – razdalja se niža odvisno od frekvenčnega pasu (pri 144 Mhz je 400 in 500km) + +--- + +## Klicanje na tekmovanjih + +_TEST_ ( **– ⋅ ⋅⋅⋅ –** ) je kratica za contest. + +>CQ **TEST** S56V S56V K + +Ali še hitreje: + +>S56V S56V TEST + +V telefoniji: + +> S56V S56V contest + +Odgovorimo tako, da **enkrat na hitro oddamo svoj klicni znak**. + +--- + +##### Vsebina zveze +# Vzpostavitev zveze + +Ko sprejmemo odziv, začnemo z uvodno relacijo. + +#### **Deli relacije:** +1. Tuj klicni znak, DE, svoj klicni znak +2. Zahvala za klic +3. RST ocena +4. Povemo svoje ime, lahko tudi lokacijo (QTH) +5. Zaključimo relacijo + +Posamezne dele ločimo z **=** oziroma **–⋅⋅⋅–** ali **–⋅⋅⋅⋅–** + +Primer: + +>S59XXX DE S59VEG = HLO ES TNX FER CALL = UR RST IS 599 599 = MY NAME IS JANEZ = AR S59XXX DE S59VEG KN +>S59VEG DE S59XXX = HLO ES UR WELCOME = UR RST IS 599 599 = MY NAME IS FRANCI = AR S59VEG DE S59XXX KN + +--- + +##### Vsebina zveze +# Izmenjava ostalih podatkov + +#### **Deli relacije:** +1. Tuj klicni znak, DE, svoj klicni znak +2. Podatki, ki jih želimo izmenjati +3. Zaključimo relacijo + +Primer: +>S50XXX DE S59VEG = PSE HW? = AR S59XXX DE S59VEG KN + +--- + +##### Vsebina zveze +# Zaključek zveze + +#### **Deli zaključne relacije:** +1. Tuj klicni znak, DE, svoj klicni znak +2. Odslovilno besedilo +3. Zaključimo relacijo + +Primer: +>S50XXX DE S59VEG = DR FRANCI TNX FER NICE QSO ES HPE CUAGN = AR S59XXX DE S59VEG SK + +--- + +# Nekaj nasvetov za dobro delo + +- Pred oddajanjem poslušajte frekvenco, oddate QRL? (Je frekveca v uporabi?) in čakate odgovor +- Oddajajte kratke CQ; če po 3 ali 4 klicih ni odziva, zamenjajte frekvenco +- Držite se pravil in vrstnega reda radijske zveze +- Spoštujte radioamaterski bonton + +Preberi: [**Etika in operaterski postopki**](https://www.s59veg.si/files/etika_junij_2021.pdf) + +---- + +# Amaterske digitalne komunikacije +TODO Slike + +---- + +# MGM +Vsi načini, ki jih generirajo računalniki + +**Machine Generated Modes** + +Zajema vse sedanje in bodoče vrste digitalnih komunikacij. + +Na frekvenčnem pasu je že določen pas namenjen MGM-ih + +---- + +# RTTY + +
+
+ +Teleprinter + radijska postaja = **Radijski teleprinter** + +Logične 1 in 0 se prenašajo po ločenih frekvencah +- Frekvenci se razlikujeta za 170, 200, 425 ali 850 Hz + +Besedilo kodiramo v zaporedje bitov. Kodni tabeli: +- **BAUDOT** (5 bitni kod → 32 znakov) +- **ASCII** (7 bitni + 1 paritetni → 128 znakov) + +Variacije: +- **AMTOR** – RTTY s preverjanjem napak +- **PACTOR** – AMTOR s stiskanjem +
+ + +
+ +---- + +# PSK31 + +Phase Shift Keying, 31 Baud + +Namenjen živi tipkovnica-tipkovnica komunikaciji + +Uporablja PSK (Phase-Shift Keying) kodiranje in DPS (digitalno procesiranje signala) + +Največja hitrost je 31 baudov + +Dolžina znakov je različna + +---- + +# WSJT-X + +
+
+ +Program za "šibko-signalne" radioamaterske zveze + +- **FT8** / FT4 +- MSK144 / FSK441 (odboj od meteorskih sledi) +- JT65 (odboj od lune) +- WSPR +- … + + + +
+ + +
+ +---- + +# Packet radio + +Povezovanje računalnikov med seboj za hitrejšo izmenjavo informacij + +**MODEM** – MOdulator DEModulator (pretvorba analognih v digitalne signale) + +Radioamatersko omrežje, ki deluje po **protokolu AX.25** + +**CSMA** (Carier Sence Multiple Access) – algoritem +za prepoznavo **zaznave trkov** + +  + +Omrežje pokriva praktično cel svet, zato je potrebna neka infrastruktura. + +**Paketno vozlišče** – računalnik, ki je preko radijskih postaj povezan z drugimi vozlišči, ta pa usmerja podatke med omrežji. + +--- + +Storitve: +- Dostop do podatkovnih baz (Keplerjeve elemente, …) +- **BBS (Bulleting Board System)** +- Pošiljanje elektronske pošte +- Vzpostavljanje zvez +- Prehod med različnimi omrežji +- … + +---- + +# APRS + +
+
+ +**Automatic Packet Reporting System** +Včasih: Automatic Position Reporting System +Uporablja AX.25 protokol + +EU frekvenca: 144,800 / 432,500 MHz + +Osnovne funkcije: +- Izris geografske lokacije +- Telemetrija +- Javljanje meteoroloških podatkov +- Izmenjava sporočil med udeleženci v omrežju +- … +
+ + +
+ +---- + +# SSTV + +- prenos **mirujočih slik** na daljavo +- barvne ali črnobele +- SSB ali FM postaja + +
+ + +
+ +---- + +# FAX +

+ +**Faksimile** + +Prenos mirujočih **črno-belih ali barvnih** pisanih **sporočil in slik** v višjih ločljivostih + +Značilno to, da pri sprejemu nastaja slika običajno direktno na toplotno občutljivem papirju + +---- + +# FSTV (ATV) + +FSTV - Fast Scan Television + +ATV - Amateur Television + +
+ + +
+ +---- + +# Echolink + +Komuniciranje licenciranih radioamaterjev čez internet + +Več na [echolink.org](http://www.echolink.org/) + + + +---- + +# Časovne cone in UTC +

+ +**Coordinated Universal Time ali GMT** (Greenwich Mean Time) + +Imamo 24 časovnih pasov, mi se nahajamo v **CET (Central European Time)** ali MEZ + +V zimskem času +1h, v poletnem +2h + +--- + + + +---- + +# Univerzalni lokator (UL) + +
+
+ +4 ali 6 znakovna lokacija + + + + + + +
123456
Velika poljaPoljaMala polja
AA - RR00 - 99AA - XX
20° Š10° D2° Š1° D5' Š2,5' D
+ +Vegova: **JN76GB** + +[Zemljevid UL lokatorjev](https://dxcluster.ha8tks.hu/hamgeocoding/) +
+ + +
+ +---- + +# Dnevnik dela radijske postaje (LOG) +Seznam zvez in podatkov o njih + +#### **Obvezni podatki** +- Dan, mesec, leto +- Čas začetka zveze, pri daljših zvezah tudi konec oddajanja +- Klicni znak postaje +- Naziv frekvenčnega pasu (band) +- Vrsta oddaje (CW, SSB, FM, …) +- Podpis radioamaterja (za klubske postaje) + +Zapis časa: **4 številke (0000–2359) po univerzalnem času (UTC)** + +**Hrani najmanj 3 leta po zadnjem vpisu** + +--- + +
+
+ +Drugi podatki ki jih vpisujemo: +- Kakovost signala (RST oz. RS) +- Lokacija postaje (UL) +- Izmenjava kartic +
+ + +
+ +---- + +# QSL kartica + +Potrjevanje zvez + +Velikost: **9x14 cm** + +Običajno se pošiljajo preko **QSL biroja** - služba za pošiljanje QSL kartic + +**Pred oddajo**, kartice **sortiramo po državah** (DXCC entitetah) + +**Obvezni podatki:** +- Naš klicni znak in naslov +- Klicni znak druge postaje +- Podatki o zvezi (datum, čas, način oddaje, frek. območje, poslan RST) + +--- + +
+
+ +Druge informacije, primerne za na QSL kartico: +- Podatki o opremi +- UL lokatorji +- Slike domačega kraja +- Slike opreme +- Slika znamenitosti +- … +
+ + +
+ +--- + +
+ + +
+ +--- + +
+ + +
+ +---- + +# Radioamaterska tekmovanja + +
+
+ +Vsak tekmovanje lahko omeji: +- uporabljene frekvenčne pasove +- način dela (telegrafija, telefonija, digitalno, …) +- posebna tekmovanja: + - odboj od lune + - odboj od meteorskih sledi + +**Po IARU so izključeni 5 MHz, 10 MHz, 18 MHz in 24 MHz** (WARC) +
+ + +
+ +--- + +# Amatersko radiogoniometriranje (ARG) + +
+
+ +- ARDF (Amateur Radio Direction Finding) +- Lov na lisico + +Športna disciplina že od 1924, v SLO 1954 +**KV** – 80 m – 3-5 W, **UKV** – 2 m – 0,25-1,5 W + +
+ + +
+
+ + +
+ +--- + +Tekmovanje ima ponavadi med 3 ali 5 lisic in svetilnik + +Lisice oddajajo enega izmed naslednjih zaporedij: +MOE, MOI, MOS, MOH, MO5 – enostavni zapis v morzejevi abecedi + +  + +Svetilnik ves čas »sveti« MO. + +  + +Lisice lahko iščejo tudi slepi in slabovidni v spremstvu dobrovidnega na enostavnem polju + +---- + +# Radioamaterske diplome + +
+
+ +Podeljene za dosežene uspehe na tekmovanjih ali določene dosežke + +Izdaja jih IARU, nacionalne radioamaterske organizacije (pri nas ZRS), klubi, skupine radioamaterjev ali posamezniki, … + +Slovenski diplomi: +- Diploma Slovenija +- S5 UL Diploma +
+ + +
+ +--- + +**DXCC** – DX Century Club Award (zveze z najmanj 100 državami po DXCC listi) + +**WAZ** – Worked all zones (zveze s 40 conami po radioamaterski (CQ) razdelitvi sveta) + +**WAC** – Worked All Continents (zveze z vsemi kontinenti) + +**WAE** – Worked All Europe (zveze z vsemi evropskimi državami) + +**IARU REGION 1 AWARD** – (zveze z radioamaterji, ki so člani prvega regiona IARU) + + + +---- + +# Radioamaterska morala in kodeksi +Kako se obašati na frekvencah? + +**HAM spirit** – pravila (radioamaterski bonton) lepega vedenja radioamaterjev + +Komuniciranje preko radijskih postaj ne glede na: +- Nacionalnost +- Socialni status +- Raso +- Poklic +- Vero +- Starost +- Politično pripadnost +- Spol + +**Če kdo to krši, ga opozoriš.** + +---- + +# Aktivnosti radioamaterjev ob nesrečah in nevarnostih + +
+
+ +Signal za nevarnost: +- **SOS – telegrafija** +- **MAYDAY – telefonija** +- FFFFFF – telegrafija +- QRRR – telegrafija +- PAN PAN (večja nujnost) – telefonija +- BRAKE (Vključil bi se v zvezo) – telefonija +- BRAKE BRAKE (nujno obvestilo) – telefonija +- BRAKE BRAKE BRAKE (potrebujem pomoč) - telefonija +
+ + +
+ +---- + +# ARON in kodeks ARON +

+ +**Kodeks ARON – kodeks aktivnosti radioamaterjev ob nesrečah in nevarnostih** + +
+
+ +Sprejet leta 1992 + +Radioamaterji sodelujemo z: +- Ministerstvom za obrambo RS +- Upravo RS za zaščito in reševanje +- Civilno zaščito +- Center za obveščanje RS +- Regijskimi centri za obveščanje +
+ + +
+ +--- + +Kodeks ARON – priročnik str. 66 – 11 členov. + +1\. S kodeksom ARON se določajo pravila **vedenja in delovanja radioamaterjev** - članov ZRS +**ob nesrečah in nevarnostih**, kot so elementarne nesreče (poplave, požari, viharji, plazovi, potresi), +večje ekološke nesreče ali nevarnosti (onesnaževanje ali ogrožanje okolja), prometne ali druge nesreče in +nevarnosti večjih razsežnosti. Ta pravila veljajo smiselno tudi za sodelovanje z radioamaterji sosednjih in +drugih držav v primerih nesreč in nevarnosti mednarodnih razsežnosti. + +2\. Namen in cilj delovanja radioamaterjev po tem +kodeksu je **nudenje pomoči pri zaščiti in reševanju** +človeških in materialnih dobrin. Delovanje +radioamaterjev temelji na humanitarnih, patriotskih in +prostovoljnih osnovah v skladu s statutom ZRS in +normami in principi mednarodne radioamaterske +organizacije – IARU + +3\. V primeru nevarnosti ali nesreče večjih razsežnosti se radioamaterji organizirajo +**samoiniciativno ali** pa **na pobudo nosilcev zaščite in reševanja** (Civilna zaščita, +gasilci, Rdeči križ in drugi). + +--- + +4\. Radioamater, ki opazi ali sprejme obvestilo o +znamenjih, pojavih ali dogodkih, ki ogrožajo imetje, +zdravja ali življenje ljudi, je dolžan na najhitrejši možni +način o tem **obvestiti ustrezne pristojne službe** (Center +za obveščanje telefon 112, policija telefon 113). +Obvestilo mora imeti jedrnato vsebino: +- Kaj se dogaja oziroma kaj se je zgodilo +- Kje se dogaja +- Kdaj se je zgodilo +- Kdo obvešča. + +Radioamater **samoiniciativno sproži delovanje +po ARON-u, če oceni, da je nesreča ali nevarnost +takšnega obsega, da zahteva takojšnje +aktiviranje amaterske ga radijskega omrežja**. V +primeru, da je nadaljnje delovanje in pomoč +radioamaterja ali več radioamaterjev še potrebno, se +ukrepa po navodilu ustreznih služb. + +5\. Radioamaterji – člani ZRS, ki sodelujejo v aktivnostih, katere obravnava kodeks ARON, se lahko +organizirajo v ustrezna radioamaterska omrežja. +Radijski promet v akcijah ARON poteka po ustaljenem +načinu v skladu z normativi, ki urejajo delo amaterskih +radijskih postaj. + +--- + +6\. Za aktiviranje in delovanje po ARON-u se lahko +uporabljajo vsa frekvenčna področja, ki so dovoljena +za radioamatersko delo. Radioamater uporabi +frekvenco, odvisno od aparature, s katero razpolaga +oziroma oceni, kako bo najhitreje prenesel obvestilo. + +7\. V primeru nesreč in nevarnosti večjih razsežnosti so +priporočene frekvence: FM simpleksni kanal V40 +145,500 MHZ, FM simpleksni kanal U280 +433,500 MHz, SSB 144,300 MHz, repetitorji ZRS +in 3605 kHz. V nesrečah in nevarnostih največjih +razsežnosti se lahko uporabijo tudi druga frekvenčna +področja. Ustrezna navodila v zvezi s tem izda Zveza +radioamaterjev Slovenije na osnovi predhodnega +dogovora s pristojnimi državnimi organi. + +8\. **Na frekvencah, kjer je sprožena ali deluje +reševalna akcija, morajo vsi radioamaterji takoj +prekiniti z vzpostavljanjem drugih +radioamaterskih zvez**. Dolžnost vsakega +radioamaterja, ki sliši klic za nesrečo in +nevarnost, je, da se takoj javi in se ravna po +navodilih postaje, ki vodi reševalno akcijo. + +8\. **Akcijo** praviloma **vodi** upravna **postaja, ki je najbližja +dogodkom** na ogroženem mestu. Za koordinacijo lahko +deluje več upravnih postaj, če to narekujejo velikost in +obseg ogroženosti ali drugi tehnični razlogi. V času +trajanja akcije poteka usmerjanje in koordiniranje dela +vseh sodelujočih postaj preko upravne postaje (ali več +postaj). + +--- + +9\. Obseg in intenzivnost delovanja sta odvisna od +potreb na ogroženem območju. Akcija traja od prijave +nesreče ali nevarnosti do sanacije razmer oziroma +dokler pristojni dejavniki ne ocenijo, da aktivnost +radioamaterjev ni več potrebna. Akcija preneha takoj, +ali postopoma, glede na razvoj dogodkov, zaradi +katerih je bila sprožena. + +10\. Sodelovanje v reševalnih akcijah in spoštovanje +kodeksa ARON je dolžnost vsakega člana ZRS. + +11\. Kodeks ARON je sprejel upravni odbor ZRS na +seji v Ljubljani dne 14. marca 1992. + +**Oddaja se lahko izven radioamaterskih +frekvenčnih pasov, če se odzivamo klicu v sili**. + +**Kadar je v nevarnosti človeško življenje ali druga +katastrofa, lahko preanašamo sporočilo tretje +osebe po radijski zvezi**. + +Mednarodni akt za delo ob nesrečah +radioamaterjev: ITU resolucija št. 646 + +Sprejeta na konferenci WRC-19 v Sharm +El-Sheikh, Egypt 2019. + +---- + +# Repetitorske komunikacije + +
+
+ +Repetitor (repeater) je simpleksna ali dupleksna radijska postaja. + +"Vse kar sliši, ponovi" + +  + +**Uporabljamo jih, da povečamo domet mobilnih in prenosnih radijskih postaj.** +
+ + +
+ +--- + +## Simpleks repetitor + +Uporablja samo eno frekvenco. + +Sporočilo snema, ko uporabnik konča z oddajo pa ga ponovno predvaja. + +Prednosti: +- stroškovno cenejši +- bolj enostaven + +Slabost: +- Časovni zamik + +--- + +## Dupleks repetitor + +Uporablja 2 frekvenci, z določenimi zamiki + +Kar sprejme na sprejemni frekvenci, odda na oddajni frekvenci. + +Sprejemnik in oddajnik morata biti dobro filtrirana. + +Repetitorski krmilnik krmili oddajnik glede na sprejemnik. + +Oddajnik mora biti dobro hlajen, ker veliko časa oddaja. + +--- + +## Digitalni repetitorji + +- DMR (Digital Mobile Radio) +- D-STAR +- Yaesu system Fusion +- BrandMeister (v SLO) + +---- + +# Satelitske komunikacije + +
+
+ +**1961 prvi satelit OSCAR** +(Orbiting Satellite Carrying Amateur Radio) + +OSCAR III prvi telekomunikacijski + +Danes je nekaj 100 HAM satelitov + +Zveze so kratke + +Frekvenca se spreminja (Dopplerjev pojav) +
+ + +
+ +--- + +
+
+ +Vsak satelit vsebuje svetilnik (CW beacon) + +  + +Uplink: Frekvenca na kateri satelit posluša +Downlink: Frekvenca na kateri oddaja + + + + + + +
ModUplinkDownlink
A2 m10 m
B70 cm2m
J2 m70 cm
+
+ + +
+ +--- + + + +--- + +
+ + +
+ +---- + +# Odboj od meteorskih sledi (MS) + +
+
+ +**Meteor-scatter** + +ZELO hitre zveze v telegrafiji (par milisekund, posnamemo in predvajamo počasneje) +- [High Speed CW](https://youtu.be/EQeVfp__XHY) + +V primeru boljših in daljših (par sekund) sledi, lahko tudi v foniji + +Danes večinoma samo digitalno +- [MSK144](https://youtu.be/i5JfpgPyDl4) in [FSK441](https://youtu.be/_kB0IDuWNDE) +
+ + +
+ +---- + +# Odboj od lune (EME) + +
+
+ +**Earth-Moon-Earth** + +- Zelo velike moči (500–1500W) +- Usmerjene antene +- Občutljiv sprejemnik + +  + +Čas do lune: 2,5 s +Lahko slišimo svojo oddajo +
+ + +
+ +--- + +
+ + +S57Q, 2m & 70cm EME antene +
+ +--- + + + +---- + +# Zveze s pomočjo računalnika + + + +---- + +# Posebne aktivnosti (aktivacije) + +
+
+ +- Summits on the air ([SOTA](https://www.sota.org.uk/)) +- Parks on the air ([POTA](https://www.sota.org.uk/)) – [primer](https://youtu.be/CFCNBbN5fmw?t=1663) +- Islands on the air ([IOTA](https://www.iota-world.org/)) +- World Wide Flora & Fauna ([WWFF](https://wwff.co/)) + + +
+ + +
+ +---- + +# Radijski svetilniki + +Naprava, ki na znani lokaciji oddaja karakteristične signale. + +Oddajajo tudi lokator, nadmorsko višino, moč in vrsto antene. + +---- + +# SWL +Sprejemna radijska postaja + +**Short Wave Listener** – radioamater, ki **samo sprejema** oziroma posluša. + +Ne potrebuješ izpita lahko pa zaprosiš za svoj klicni znak. + +>S5-RS-xxx + +x je celo število od 0 do 9. + +---- + +# DX postaje +Oddaljene postaje + +- KV - vse izven EU +- VHF - več kot 400 km + +DX postaje najpogosteje uporabljajo **SPLIT** način dela. + +Poslušajo nad (UP) ali pod (DOWN) svojo oddajno frekvenco. + +**DX okno** - Pas frekvenc, namenjen delu z DX postajami. + +---- + +# DX cluster + +
+
+ +**Je orodje za objavo podatkov o zvezah z DX postajami** + +**Self spotting** – objavljanje podatkov o frekvenci na kateri kličeš, kar ni v skladu s pravili uporabe DX clustra. +Izjeme: SOTA, POTA, WWFF, … + +- [DX Summit](http://www.dxsummit.fi/) +- [DXHeat](https://dxheat.com/dxc/) +
+ + +
+ +---- + +# Pileup + +**Množica radioamaterjev na frekvenci** redke **postaje**, ki bi radi hkrati naredili zvezo z njo in **kličejo eden čez drugega**. +- [Pileup avstralske postaje](https://youtu.be/w0_7_iekqgs?t=28) +- [Pileup redke postaje 4U1ITU](https://youtu.be/LU3fU2W_zX4) + +**Simplex pileup** - množica postaj, ki hkrati kličejo DX postajo na frekvenci, kjer DX postaja hkrati posluša in oddaja. \ No newline at end of file diff --git a/5_elektrotehnika.md b/5_elektrotehnika.md new file mode 100644 index 0000000..3a9bb34 --- /dev/null +++ b/5_elektrotehnika.md @@ -0,0 +1,1965 @@ +--- +layout: cover +--- + +# Elektrotehnika + +---- + +### Osnovna teorija atomov + +
+
+ +- Najmanjši delec snovi je **atom** + - Atom sestavljajo: **elektroni, nevtroni in protoni** + - Atomsko **jedro** je sestavljeno iz: **protonov in nevtronov** +- Atomi se med seboj povezujejo v **molekule** + +  + +- **Element**: snov, ki jo z kemijskimi reakcijami ne moremo razstaviti na enostavnejše sestavine +- **Spojina**: snov sestavljena iz dveh ali več elementov + - Najmanjši gradnik spojin je molekula +
+ +
+ + +
+ + + +### Kemijske vezi + +- **Ionska ali elektronska vez**: elektropozitiven atom odstopi elektron elektronegativnemu atomu v bližini. + - Primer: NaCl +- **Kovalentna vez**: dva nevtralna atoma si delita enega ali več elektronov. + - Primer: polprevodniki, vezava vodika in kisika ->voda +- **Kovinska vez**: med atomi plava oblak prostih elektronov. + - Primer: s to vezjo so povezani atomi v kovinah. + + + +
+ + +
+ +---- + +### Električno polje in potencial + +Električno polje je prostor, v katerem deluje električna sila na električni naboj + +**Jakost električnega polja**: $E\ [\frac{V}{m}]$ + + + + + +**Količina naboja**: $Q\ [C=As]$ _Coulomb_ +- En coulomb je definiran kot količina električnega naboja, ki +preteče skozi prečni prerez vodnika v času ene 1s pri toku 1A. + +**Električni potencial**: $V_p\ [V]$ _Volt_ +- Električni potencial v neki točki električnega polja znaša 1V, če +se iz prostora izven polja prenese v dano točko pozitiven naboj +1C in se ob tem opravi delo 1J. + + + +**Coulombov zakon**: $F = k_0\frac{Q_1 \cdot Q_2}{r^2}$ +- kako sila med dvema točkastima električnima nabojema pojema z razdaljo + +**Pred električnim poljem se zaščitimo z oklapljanjem s kovinskimi materiali** (Faradejeva kletka). + + + +---- + +### Električni tok in napetost + +**Električni tok je usmerjeno gibanje nosilcev električnega naboja**. +Nastane pod vplivom razlike električnih potencialov, ki jim pravimo +tudi električna napetost. + +Oznaka in enota: $I[A]$ _Amper_ + +Inštrument za merjenje toka je **ampermeter** + +--- + +**Električna napetost je definirana kot razlika električnih potencialov**. + +Oznaka in enota: $U[V]$ _Volt_ + +Inštrument za merjenje napetosti je **voltmeter** + +---- + +### Električna moč in delo + +**Električna moč**: intenzivnost opravljanja dela električne sile + +$P = U \cdot I\ [VA = W]$ _Vat_ + +**Električno delo**: Delo, ki ga opravi električi naboj + +$A = P \cdot t\ [J = Ws]$ _Joul / Vatsekunda_ + +---- + +### Predpone SI + +
+ + + + + + + + + + + + + + + + + + + + + + + + + +
OkrajšavaImeVrednost
Yjota10241.000.000.000.000.000.000.000.000kvadrilijon
Zzeta10211.000.000.000.000.000.000.000trilijarda
Eeksa10181.000.000.000.000.000.000trilijon
Ppeta10151.000.000.000.000.000bilijarda
Ttera10121.000.000.000.000bilijon
Ggiga1091.000.000.000milijarda
Mmega1061.000.000milijon
kkilo1031.000tisoč
hhekto102100sto
dadeka10110deset
ddeci10-10,1desetina
ccenti10-20,01stotina
mmili10-30,001tisočina
μmikro10-60,000.001milijonina
nnano10-90,000.000.001milijardina
ppiko10-120,000.000.000.001bilijonina
ffemto10-150,000.000.000.000.001bilijardina
aato10-180,000.000.000.000.000.001trilijonina
zzepto10-210,000.000.000.000.000.000.001trilijardina
yjokto10-240,000.000.000.000.000.000.000.001kvadrilijonina
+ +
+ +Primeri: + +$1\text{A} = 1000\text{mA} = 0,001\text{kA}$ + +$1\text{V} = 1000\text{mV} = 0,001\text{kV}$ + +$1\Omega = 1000\text{m}\Omega = 0,001 \text{k}\Omega$ +
+
+ +---- + +### Prevodniki, neprevodniki in polprevodniki + +**Prevodniki**: imajo dosti prostih nosilcev naboja, zato prevajajo +električni tok. +- Zlato, srebro, baker, aluminij, … + +**Neprevodniki** (izolatorji): nimajo prostih nosilcev naboja, zato +ne prevajajo električnega toka. +- Razne gume, keramika, steklo, les, nekatere plastične mase, razne barve in laki, teflon, bakelit, destilirana voda, polivinil, … + +**Polprevodniki**: silicij in germanij imata po 4 elektrone na zunanji +obli atomov. +- Silicij, Germanij, … + +---- + +### Električna upornost + +Lastnosti snovi, da se **upira prevajanju električnega toka** imenujemo električna upornost. + +
+
+ +Oznaka in enota: $R[\Omega]$ _Ohm_ + +Inštrument za merjenje upornosti je **ohmmeter** + +Upor je najbolj osnoven primer porabnika +(električna energija → toplota) + +Glede na izvedbo ločimo: žični, slojni, polni ali masni upor +
+ + +
+ + + +Temperaturno odvisni upori: +- **PTK** (Pozitivni temperaturni koeficient): S **segrevanjem** se **upornost povečuje** +- **NTK** (Negativni temperaturni koeficinet): S **segrevanjem** se **upornost zmanjšuje** + +
+
+ +Delimo: +a) stalni upor +b) nastavljivi upor +c) spremenljivi upor +d) potenciometer +
+ + +
+ + + +#### Označevanje vrednosti uporov + + + +---- + +### Magnetno polje trajnega magneta + +
+
+ +Potek magnetnega polja okoli magneta **ponazorimo s silnicami**. +To so črte, ki kažejo smer polja in potekajo od severnega proti južnemu polu magneta. + +  + +Če magnet prelomimo, dobimo 2 magneta, ki imata vsak svoj severni in južni pol. +
+ + +
+ +---- + +### Enosmerni tok in napetost + +Enosmerni tok: nosilci naboja tečejo le v eno smer. +**Smer gibanja nosilcev naboja se s časom ne spreminja** + +Enosmerna napetost: tista napetost, ki +**generira enosmerni tok in se ji s časom predznak ne spreminja** + +
+ + + +
+ +---- + +### Celice in baterije + +Najbolj osnoven izvor enosmerne napetosti + + + + + +#### Vrste baterij + + + + + + + + + +
Svinčene celiceNi-CdNi-MhLi-ionLi-ion polimerPolnilne alkalne
Nominalna napetost celice2v1,2v1,2V3,6V3,6V1,5V
Število ciklov polnjenja500-8001500500-10001200>100050
Lastno praznjenje (%/mesec)3-2010305-105zelo nizka
Temp. področje uporabe-20 do 60-40 do 60-20 do 60-20 do 600 do 600 do 65
Energija/teža (Wh/kg)30-5045-8060-120110-160100-20080
Obremenitev: max/pripročena5C/0,2C20C/1C5C/0,5C>2C/>1C>2C/>1C0,5C/<0,2
+ + + +#### Zaporedna vezava celic + +
+
+ +**Skupna napetost enaka vsoti napetosti posameznih baterijskih celic.** + +Dopustni tok enak dopustnemu toku ene celice. +
+ + +
+ +  + +#### Vzporedna vezava celic + +
+
+ +Skupna napetost enaka napetosti ene celice + +**Dopustni tok enak vsoti dopustnih tokov posameznih celic.** +
+ + +
+ + + +- **Kapaciteta**: koliko časa je celica sposobna dajati določen tok: +$$ Q = I \cdot t \ [Ah] $$ + +Primer: Akumulator imam kapaciteto 10 Ah. Koliko časa ga bomo lahko uporabljali, če porabnik troši 500 mA? +$t = \frac{Q}{I} = \frac{10 Ah}{0.5 A} = 20 h$ + +- **Notranja upornost** ($R_g$) + +- **Kratkostični tok** ($I_k$): **tok, ki steče če pola celice kratko spojimo z vodnikom.** + +$$ I_k = \frac{U_c}{R_g} $$ + +- **Nazivni tok** ($I_n$): "priporočen" / normalni tok uporabe + +---- + +### Električne sheme + +
+
+ + +Električni krog (baterija in upor) +
+ +
+ + +Shema električnega kroga leve slike +
+ +---- + +### Frekvenca + +Število ponavljajočih se dogodkov v časovni enoti + +**Frekvenca**: $f\ [\mathrm{Hz}]$ _Hertz_ + +
+ +$$ f = \frac{1}{T} = \frac{N}{t} $$ + +$f$ – frekvenca (Hz) +$T$ – perioda (s) +$t$ – čas opazovanja (s) +$N$ – število nihajev v času opazovanja +
+ + + +
+ + + +
+ +---- + +### Izmenični tok in napetost + +Izmenični tok: **smer gibanja nosilcev naboja se s časom spreminja.** + +Izmenična napetost: napetost, ki se s časom spreminja + +
+ + + +
+ +---- + +### Generator izmenične napetosti + +$$ U = U_{max} \cdot \sin(\alpha) $$ + +
+ + + +
+ +---- + +### Sinusna oblika signala + +
+ + +
+ +**Efektivna** vrednost **izmenične napetosti** ($U_\text{ef}$) je enaka velikosti +enosmerne napetosti, ki povzroči **enak učinek** (efekt) **kot enosmerna napetost** (svetlobni, toplotni, …) + + + +
+
+ +$U_\text{vrh}$ – vrhnja (temenska) vrednost napetosti +$U_\text{ef}$ – efektivna (RMS – Root Mean Square) napetost +$U_\text{sre}$ – srednja vrednost napetosti + +  + +Za sinus velja: + +$ U_\text{vrh} = \sqrt{2} \cdot U_\text{ef} $ + +$ U_\text{sre} = \frac{2}{\pi} \cdot U_\text{vrh} $ + +$ U_\text{vrh} = 1.57 \cdot U_\text{sre} $ +
+ + +
+ + + +
+
+ +**Valovna dolžina** ($\lambda$ – lambda): razdalja, ki jo val prepotuje v času enega nihaja + +  + +**Hitrost** širjenja: +$v = f \cdot \lambda$ +$v$ – hitrost \[$\frac{m}{s}$] +$f$ – frekvenca \[Hz] +$\lambda$ – valovna dolžina \[m] + +  + +**Faza** valovanja: merimo v stopinjah (°). +
+ + +
+ +---- + +### Sestavljeni signali + +
+ + + +
+ + + +#### Primer + +Kateri od navedenih signalov je enak vsoti signala A in B? + + + + + +**Peak envelope voltage** (PEV): vrhnja napetost ovojnice + + + +---- + +### Ohmov zakon + +Nemški znanstvenik Georg Simon Ohm ugotovi, da je **napetost v vezju enaka produktu toka in upornosti**. + +
+
+ +$$ U = I \cdot R $$ +$$ I = \frac{U}{R} $$ +$$ R = \frac{U}{I} $$ +
+ + +
+ + + +#### Primer 1 + +
+ + +
+ +$$ R = \frac{U}{I} $$ +$$ I = \frac{U}{R} = \frac{12\ V}{25\ \Omega} = 0.48\ A $$ +
+ + + +#### Primer 2 + +
+ + +
+ +$$ R = \frac{U}{I} $$ +$$ U = I \cdot R = 6\ \Omega \cdot 3\ A = 18\ V $$ +
+ + + +#### Primer 3 + +
+ + +
+ +$$ R = \frac{U}{I} $$ +$$ R = \frac{U}{I} = \frac{6\ V}{0.5\ \Omega} = 12\ \Omega$$ +
+ +---- + +### Vezava uporov + +#### Zaporedna vezava uporov + +
+
+ +$ R_\text{skupna} = R_1 + R_2 + ... $ + +$ U_\text{skupna} = U_{R1} + U_{R2} + ... $ + +$ I_\text{skupna} = I_1 = I_2 = ... $ +
+ + +
+ + + +#### Vzporedna vezava uporov + +
+
+ +$$ \frac{1}{R_\text{skupna}} = \frac{1}{R_1} + \frac{1}{R_2} + ... $$ + +$ R_\text{skupna} = \frac{1}{\frac{1}{R_1} + \frac{1}{R_2} + ...} $ + +$ U_\text{skupna} = U_{R1} = U_{R2} = ... $ + +$ I_\text{skupna} = I_1 + I_2 + ... $ +
+ + +
+ + + +#### Primer + +
+
+ +$ \frac{1}{R_\text{vzp}} = \frac{1}{10} + \frac{1}{10} = \frac{2}{10} = \frac{1}{5} $ + +$ R_\text{vzp} = 5\ \Omega $ + +$ R_\text{skupna} = 5\ \Omega + 10\ \Omega = 15\ \Omega $ +
+ + +
+ +---- + +### Realni napetostni vir + +
+
+ +$R_g$ – upornost generatorja + +$ U_{AB} = U - R_g \cdot I = 6\ V - (4\ \Omega \cdot 0.5\ A) = 4V $ +
+ + +
+ +---- + +### Kirchoffovi zakoni + +Razlaga + +- **Prvi Kirchoffov zakon** (vsota vseh tokov v vozlišču je enaka nič): + +
+ +$$\sum I = 0$$ + + +
+ + + +- **Drugi Kirchoffov zakon** (vsota napetosti napetostnih virov v zaprti zanki vezja je enaka vsoti padcev napetosti na vseh delih vezja): + +
+ +$$ \sum U = \sum I \cdot R $$ + + +
+ + + +#### Primer (I. Kirchoffov zakon): + +
+
+ +$ \sum I = 0 $ + +$ I_4 = I_1 + I_2 + I_3 $ + +$ I_1 = I_4 - I_3 - I_2 = 5A - 5A - 2A = -2A $ +
+ + +
+ + + +#### Primer (II. Kirchoffov zakon): + +
+
+ +Zanka 1: +$ 10\ V = I_2 \cdot 30\ \Omega $ + +Zanka 2: +$ 12\ V = I_2 \cdot 30\ \Omega + I_1 \cdot 10\ \Omega $ + +Zanka 3: +$ (12\ V - 10\ V) = I_1 \cdot 10\ \Omega $ +
+ + +
+ +---- + +### Električna moč + +
+
+ +Enosmerne napetosti in tokovi: + +$ P = U \cdot I $ + +$ P= \frac{U^2}{R} $ + +$ P = I^2 \cdot R $ + +
+
+ +Izmenične napetosti in tokovi: +(Ohmska bremena) + +$ P_\text{sre} = U_\text{ef} \cdot I_\text{ef} $ + +$ P_\text{sre} = \dfrac{U^2_\text{ef}}{R} $ + +$ P_\text{sre} = I^2_\text{ef} \cdot R $ + +$ P_\text{ef} \neq P_\text{sre} $ +
+ + +
+ + + +**Peak Envelope Power** (PEP): vrhnja (temenska) moč ovojnice, kar pomeni največjo vršno vrednost moči preko določene periode. +$$ P_\text{PEP} = \frac{U^2_\text{PEV}}{2 \cdot R} $$ + + + +---- + +### Prenos moči + +
+
+ +$$ P = I^2 \cdot R \quad \quad I = \frac{U}{R + R_g} $$ +$$ P = \frac{U^2 \cdot R}{(R + R_g)^2} $$ + +**Maksimalni prenos moči** na breme R: +_"breme prilagodimo generatorju"_ + +$$ R = R_g \rarr P_{max} = \frac{U^2 \cdot R}{4 \cdot R^2} = \frac{U^2}{4 \cdot R} $$ +
+ + +
+ +---- + +### Električna energija in izkoristek sistema + +**Električna energija**: $ W = P \cdot t\ [\mathrm{Ws}] $ _Vatsekunda_ + +$ 1\ \mathrm{kWh} = 1000\ \mathrm{W} \cdot 3600\ \mathrm{s} = 3600000\ \mathrm{Ws} $ + +  + +**Izkoristek** sistema: + +
+
+ +$$ \eta = \frac{P_i}{P_v} \quad 0 \le \eta \le 1 $$ +$$ \eta = \frac{P_i}{P_v} \cdot 100 \quad 0 \\% \le \eta \le 100 \\% $$ +
+ +
+ +$P_i$ – izhodnja moč (W) +$P_v$ – vhodna moč (W) +
+ +---- + +### Logaritem + +Logaritem je **inverzna funkcija eksponente funkcije** + +$$ a^y = x \quad \Leftrightarrow \quad \log_{a} x = y $$ + +Prebere se: _logaritem števila $x$ z osnovo $a$_ + +
+
+ +Desetiški logaritem: +$ \log_{10} x = \log x $ + +Naravni logaritem: +$ \log_{e} x = \ln x $ + +$$ \log_{a} x = \frac{\log_{y} x}{\log_{y} a} $$ +
+ +
+ +$$ \log_{a} x + \log_{a} y = \log_{a} (xy) $$ + +$$ \log_{a} x - \log_{a} y = \log_{a} \bigg( \frac{x}{y} \bigg) $$ + +$$ r \cdot \log_{a} x = \log_{a} x^r $$ +
+ +---- + +### Decibel + +Decibel je relativna enota, s katero določamo **ojačanje ali slabljenje sistema**. + +
+
+ +$$ G(dB) = 10 \cdot \log \bigg( \frac{P_2}{P_1} \bigg) $$ + +$$ G(dB) = 20 \cdot \log \bigg( \frac{U_2}{U_1} \bigg) = 20 \cdot \log \bigg( \frac{I_2}{I_1} \bigg) $$ +
+ + + + + + + + + + + + + + + + +
Ojačanje
$G(dB)$
Razmerje moči
$(P_2 / P_1)$
Razmerje toka
ali napetosti
$(I_2 / I_1),(U_2 / U_1)$
+ 2010010
+ 10103,16
+ 642,00
+ 321,141
011,00
- 30,500,71
- 60,250,50
- 100,100,32
- 200,010,10
+
+ + + +#### Primer + +Izračunaj skupno ojačanje sistema: + + + +$$ G(dB) = +20\ dB - 10\ dB +3\ dB = + 13\ dB $$ + +$$ G = 100 \cdot 0.1 \cdot 2 = 20 $$ + +Dobimo ojačanje +13 dB oz. 20 kratno ojačanje + +---- + +### Induktivnost + +Razmerje med magnetnim pretokom skozi sklenjeno zanko in električnim tokom, ki je vzrok tega magnetnega pretoka + +- Induktivnost tuljave je 1 H, če se skozi njo spremeni tok za 1 A v času 1 s in pri tem povzroči, da se inducira povratna napetost 1 V. + +
+
+ +**Induktivnost**: $L\ [H]$ _Henry_ + +Pravilo desnega vijaka (smer silnic) +
+ + +
+ + + +
+ + + +
+ +---- + +### Tuljave + +Animacija tuljave + +
+ + +
+ + + +Pri idealni tuljavi vedno **tok zaostaja za napetostjo za 90°** + + + + + +#### Vrste tuljav + +
+
+ +Delimo: +a) stalna tuljava +b) nastavljiva tuljava +c) spremenljiva tuljava +
+ + +
+ +
+
+ +Delimo (glede na jedro): +a) tuljava z železnim jedrom +b) tuljava z feritnim jedrom +
+ +
+ + +
+
+ + + +#### Jedro tuljave + +**Permeabilnost**: lastnost feromagnetnih materialov jedra, da **poveča induktivnost tuljave** + +  + +**Vrtinčni tokovi**: inducirana napetost žene po železnem jedru tok in ga segreva + +**Histerezne izgube**: del elektromagnetne energije, ki se porablja za "magnetno vztrajnost" + +---- + +### Vezava tuljav + +
+
+ +Zaporedna vezava +$$ L_\text{skupna} = L_1 + L_1 + ... $$ + +
+ +
+ +Vzporedna vezava +$$ \frac{1}{L_\text{skupna}} = \frac{1}{L_1}+\frac{1}{L_{2}}+... $$ + +
+ + + +### Realna tuljava + +
+
+ +**Induktivna reaktanca** ali induktivna upornost: +$ X_L = 2 \cdot \pi \cdot f \cdot L$ + +Kvaliteta tuljave: $ Q = \frac{X_L}{R_L} $ + +  + +**Skin efekt** (kožni pojav): s frekvenco se povečuje upornost žice. + +Pri višjih frekvencah tok raje teče po površini žice, kot po njej. +
+ +
+ + +
+
+ +---- + +### Transformator + +**Medsebojna induktivnost**: magnetno polje ene tuljave povzroči inducirano napetost v drugi tuljavi + +**Sklopni faktor** dveh tuljav je število, ki +pove, kolikšen del magnetnega pretoka ene +tuljave se sklene tudi skozi ovoje druge +tuljave. +Teoretično možne vrednosti sklopnih +faktorjev so med 0 in 1. + +
+ + + +
+ + + +
+
+ +**Izkoristek** transformatorja: + +$$ P_s = \eta \cdot P_p $$ + +$P_p$ – moč na primarju (W) +$P_s$ – moč na sekundarju (W) +$\eta$ – izkoristek transformatorja +
+ + +
+ + + +
+
+ +**Razmerja napetosti, toka in števila navojev**: + +$$ \frac{U_p}{U_s} = \frac{n_p}{n_s} = \frac{I_s}{I_p} $$ + +$U_p$ – napetost primarja (V) +$U_s$ – napetost sekundarja (V) +$I_p$ – tok primarja (A) +$I_s$ – tok sekundarja (A) +$n_p$ – število ovojev primarja +$n_s$ – število ovojev sekundarja +
+ + +
+ + + +#### Primer + +Izračunaj napetost in tok na sekundarju transformatorja, če je na primarju napetost 220 V in tok 2 A. Število ovojev na primarju je 1000, na sekundarju pa 100. + +
+
+ +$$ \frac{U_p}{U_s} = \frac{n_p}{n_s} = \frac{I_s}{I_p} = \frac{1000}{100} $$ + +$$ U_s = \frac{U_p}{10} = \frac{220\ V}{10} = 22\ V $$ + +$$ I_s = I_p \cdot 10 = 2\ A \cdot 10 = 20\ A $$ +
+ + +
+ +---- + +### Vezave transformatorjev in uporaba + +
+
+ +Zaporedna vezava navitij + +
+
+ +Kaskadna vezava + +
+
+ +**Uporaba** transformatorjev: +- izoliranje enega dela vezja od drugega (galvanska ločitev) +- dviganje ali nižanje napetosti (napajalniki) +- **impedančna transformacija oz. prilagoditev** + +---- + +### Kapacitivnost + +Zmožnost **shranjevanja električne energije** v obliki **električnega naboja**, ki ustvari **električno polje** + +**Kapacitivnost**: $C\ [F]$ _Farad_ + +
+ + + +
+ +---- + +### Kondenzatorji + +Razlaga kondenzatorja + +
+
+ +a) stalni kondenzator +b) nastavljivi kondenzator +c) spremenljivi kondenzator +d) elektrolitski kondenzator +
+ + +
+ + + + + +Pri idealnem kondenzatorju **tok fazno prehiteva napetost za 90°** + + + + + +### Realni kondenzatorji + +**Kapacitivna reaktanca**: $ X_C = \dfrac{1}{2 \cdot \pi \cdot f \cdot C} $ + +**Izgubni** (prečni) **tok** kondenzatorja: tok, ki teče skozi kondenzator +zaradi neidealnega dielektrika. + +**Temperaturna odvisnost** kondenzatorja: vzrok je sprememba dielektrika, +saj se mu spreminja dielektrična konstanta. + +---- + +### Vezave kondenzatorjev + +
+
+ +Vzporedna vezava +$$ C_\text{skupna} = C_1 + C_2 + ... $$ + + +
+
+ +Zaporedna vezava +$$ \frac{1}{C_\text{skupna}} = \frac{1}{C_1} + \frac{1}{C_2} + ... $$ + +
+ +---- + +### Reaktanca + +V praktičnih vezjih se pojavijo kombinacije obeh: + +Induktivna reaktanca: +$ X_L = 2 \cdot \pi \cdot f \cdot L$ + +Kapacitivna reaktanca: +$ X_C = \frac{1}{2 \cdot \pi \cdot f \cdot C} $ + +Zato raje govorimo o **reaktanci**, ki ima lahko **induktivni** ali **kapacitivni značaj** + +**Reaktanca**: $X\ [\Omega]$ _ohm_ + +Vrednost reaktance se **spreminja glede na frekvenco** + +**Reaktančna bremena ne trošijo električne energije** (jalova moč) + +Velja ohmov zakon: $ U = X \cdot I $ + + + +### Impedanca + +Vsa praktična vezja vsebujejo reaktanče in ohmske upornosti + +**Impedanca**: $ Z = R + iX\ [\Omega]$ _ohm_ + +  + +$Z = R + jX_L$ +→ impedanca upornosti R in reaktance induktivnega značaja + +$Z = R - jX_C$ +→ impedanca upornosti R in reaktance kapacitivnega značaja + +Velja ohmov zakon: $ U = Z \cdot I $ (bolj kompleksno zaradi imaginarne komponente) + + + +### Resonanca + +Obstaja frekvenca kjer se **vrednost kapacitivne reaktance izenači induktivni reaktanci** → se izničita + +$ X_C = X_L $ + +$ \frac{1}{2 \cdot \pi \cdot f \cdot C} = 2 \cdot \pi \cdot f \cdot L $ + +$$ f = \frac{1}{2 \cdot \pi \cdot \sqrt{L \cdot C}} $$ + +Te frekvenci pravimo **resonančna frekvenca**, pojavu pa **resonanca** + +Impedanca pri resonančni frekvenci: $ Z = R \pm j0 = R $ + +---- + +### Filtri + +Vezja, ki prepuščajo izmenične tokove določenih frekvenc, medtem ko tokove drugih frekvenc zelo oslabijo ali pa jih sploh ne prepuščajo + +Sestavljeni iz pasivnih elementov (kondenzatorjev, tuljav in uporov) + +**Tuljava dobro prepušča nizke frekvence, kondenzator pa visoke** + +---- + +### Zaporedni in vzporedni nihajni krog + +
+
+ +Zaporedni nihanji krog +v resonanci prepušča tok + +
+
+ +Vzporedni nihanji krog +v resonanci ne prepušča toka + +
+
+ + + +#### Zaporedni nihajni krog + +
+
+ +**Resonančna frekvenca**: +$ f_{RES} = \dfrac{1}{2 \pi \sqrt{LC}} $ + +**Kvaliteta** nihajnega kroga: +$ Q = \dfrac{X_L}{R} $ ali $ Q = \dfrac{X_C}{R} $ + +**Pasovna širina** (bandwidth): $ B = f_2 - f_1 $ +$f_1$ in $f_2$ odčitamo kjer je vrednost toka $ \frac{1}{\sqrt{2}} = 0.71 $ oz. $ -3dB $ + +$ Q = \frac{f_{RES}}{B} $ + +**Napetost na tuljavi in kondenzatorju** v zaporednem nihajnem krogu sta pri resonančni frekvenci **Q-krat večji od napetosti izvora** ampak fazno **zamaknjeni za 180°** +
+ + +
+ + + +#### Vzporedni nihajni krog + +
+
+ +Enačbe za resonančno frekvenco, kvaliteto in pasovno širino so enake kot pri zaporednem nihajnem krogu + +  + +**Velikost toka skozi vezje** je pri resonančni frekvenci majhna, v **tuljavi in kondenzatorju** pa je lahko **tok Q-krat večji** +
+ + +
+ +---- + +### Vrste filtrov + +
+
+ +Filtre delimo po različnih merilih, npr. frekvenčni pas: +- **Nizko-prepustni** filter +- **Visoko-prepustni** filter +- **Pasovno-prepustni** filter +- **Pasovno-zaporni** filter + +**Amplitudni frekvenčni odziv**: pove katere frekvence filter prepušča +in katere slabi + +**Prenosna funkcija**: pove vpliv filtra na amplitudo in fazo vhodnega +signala + +Vsak filter povzroči **fazni zamik** +
+ + +
+ + + +### $T$ in $\Pi$ (Pi) filtri + +
+
+ +**Red filtra**: število elementov v vezju + +Višji kot je red filtra, bolj se amplitudni odziv približuje idealnemu +
+ + +
+ + + +### Kristalni filter + +**Resonatorji**: zelo ozka pasovno-prepustni ali pasovnozaporni filtri z zelo veliko kvaliteto Q + +**Overtonska frekvenca**: nihanje ploščice kremenovega kristala na mnogokratniku osnovne frekvence kristala + +**Overtonski oscilator**: kristal lahko niha le na overtonskih frekvencah, ki so lihi mnogokratniki osnovne frekvence + +
+ + +
+ +---- + +### Polprevodniki + +
+
+ +Silicij / germanij + +Štiri elektroni v zunanji ovojnici + +Čisti polprevodnik, **ne prevaja** električnega **toka** (kovalentna vez) + +Polprevodnikom **dodajamo primesi** (Dopiranje) +
+ + +
+ + + +
+
+ +**N tip** polprevodnika: +Donorji: petvalentne primesi, kot so fosfor, arzen, antimon, ki povečajo v polprevodniku število prostih elektronov + + +
+
+ +**P tip** polprevodnika: +Akceptorji: trivalentne primesi, kot so, bor, +aluminij, galij, indij, ki ustvarijo gibljive vrzeli + + +
+
+ +---- + +### Dioda + +
+
+ +**PN spoj** _brez upornosti_ **prevaja tok** le **v eno smer** + +Dioda v zaporni smeri prevaja majhen tok, ki ga imenujemo **zaporni tok ali tok nasičenja** +
+ + +
+ +
+ + +
+ + + +#### Uporaba diode v elektronskih vezjih + +- Usmerniki +- Frekvenčni množilniki in mešalniki +- Dioda kot stikalo +- Dvosignalni krmilniki +- Stabilizatorji napetosti + +
+
+ + +Polvalni usmernik +
+
+ + +Polnovalni usmernik +
+
+ + + +#### Posebne vrste diod + +
+
+ + +Zener dioda +Kot stabilizator napetosti +
+
+ + +Tunelska dioda +Uporabljamo za ojačevalnike in oscilatorje +
+
+ + + +#### Uporaba zener diode + +
+ + +
+ + +Zener diodo priključimo v vezju zaporno +Zaščita pred previsoko napetostjo +
+
+ + + +
+
+ + +Štirislojna dioda (PNPN) +Namenjena zelo velikim tokovom +
+
+ + +Bilateralno diodno stikalo (diak) +Začne delovati po preboju prebojne napetosti +
+
+ + + +
+
+ + +Tiristor +Deluje kot stikalo +
+
+ + +Triak +Dvosmerni tiristor +
+
+ + + +
+
+ + + +Svetleča dioda (LED) +Pretvarja el. energijo v svetlobo +
+
+ + +Fotodioda +Meritev svetlobe +(spreminja se upornost) +
+
+ + + +
+
+ + +Schottky dioda +Izredno hitrost delovanja +
+
+ + +Varaktorska (varicap) dioda +Dioda z kapacitivnostjo +
+
+ +---- + +### Tranzistor (bipolarni) + +
+
+ +"Transfer resistor" → transistor + +**BJT** – Bipolar Junction Transistor + +Priključki: +- Baza (**Base**) +- Kolektor (**Collector**) +- Emitor (**Emitter**) +
+ + +
+ +Tok med emitorjem in kolektorjem kontroliramo z tokom med bazo in emitorjem oz. kolektorjem (odvisno od tipa tranzistorja) + + + +
+
+ + +$ \dfrac{I_C}{U_{CE}} $ in močnostna karakteristika tranzistorja +
+
+ + +Možne orientacije tranzistorja +
+
+ +**Tokovno ojačanje tranzistorja s skupno bazo:** +$ \alpha = \dfrac{I_C}{I_E} $ + +**Tokovno ojačanje tranzistorja s skupnim emitorjem:** +$ \beta = \dfrac{I_C}{I_B} $ + +---- + +### Uporaba tranzistorja + +
+
+ + +Tranzistor kot ojačevalnik +
+
+ + +Tranzistor kot stikalo +
+
+ +---- + +### Tranzistor (unipolarni) + +
+
+ +**FET** – Field Effect Transistor + +Priključki tranzistorja: +- Ponor (**Drain**) +- krmilna elektroda (**Gate**) +- Izvor (**Source**) + +Vrste unipolarnih tranzistorjev: +- s PN spojem ali spojni FET (**JFET**) +- z izolirano krmilno elektrodo (IGFET, **MOSFET**) +- Dualgate MOSFET (**DG MOSFET**) +
+ + +
+ + + +#### Razlike med BJT in FET + + + + + + + + + + +---- + +### Integrirana vezja + +Najbolj pogosto uporabljeni elementi v elektronskih vezjih + +Skupek elementov skrčimo na čim manjši prostor + +
+ + +
+ +---- + +### Digitalna integrirana vezja + +
+
+ +Digitalna integrirana vezja poznajo le dve logični stanji: +**0** in **1** oz. +**izklopljeno** in **vklopljeno** oz. +**nizka** in **visoka** napetost +
+ + +
+ + + +### Osnovna logična vezja + +
+
+ +Vrata IN (AND) + +| A | B | Y | +|---|---|---| +| 0 | 0 | 0 | +| 0 | 1 | 0 | +| 1 | 0 | 0 | +| 1 | 1 | 1 | +
+
+ +Vrata ALI (OR) + +| A | B | Y | +|---|---|---| +| 0 | 0 | 0 | +| 0 | 1 | 1 | +| 1 | 0 | 1 | +| 1 | 1 | 1 | +
+
+ +Vrata NE (NOT) + +| A | Y | +|---|---| +| 0 | 1 | +| 1 | 0 | +
+
+ + + +
+
+ +Vrata ekskluzivni ALI (XOR) + +| A | B | Y | +|---|---|---| +| 0 | 0 | 0 | +| 0 | 1 | 1 | +| 1 | 0 | 1 | +| 1 | 1 | 0 | +
+
+ +Vrata NE-IN (NAND) + +| A | B | Y | +|---|---|---| +| 0 | 0 | 1 | +| 0 | 1 | 1 | +| 1 | 0 | 1 | +| 1 | 1 | 0 | +
+
+ + + +
+
+ +Vrata NE-ALI (NOR) + +| A | B | Y | +|---|---|---| +| 0 | 0 | 1 | +| 0 | 1 | 0 | +| 1 | 0 | 0 | +| 1 | 1 | 0 | +
+ + +
+ +**Najbolj razširjena** so vrata **NAND in NOR** zaradi njune enostavnosti in cenovne ugodnosti +**Univerzalna vrata**: Druga vrata (NOT, AND, OR, …) lahko sestavimo iz NAND in NOR + + + +#### Flip flop + +
+ + +
+ +---- + +### Analogna integrirana vezja + +Pri analognih integriranih vezjih **izhodni signal zvezno sledi spremembi vhodnega signala** + +
+
+ + +Operacijski ojačevalnik +
+
+ + +Stabilizirani napajalnik za simetrično napetost +
+
+ +---- + +### Elektronske cevi (elektronka) + +Kljub silnemu napredku tehnologije na področju tranzistorjev elektronske cevi še niso izgubile popolne veljave v **končnih stopnjah močnostnih ojačevalnikov** + +
+ + +
+ +---- + +### NF in VF ojačevalnik + +
+
+ + +Načelna shema NF ojačevalnika (zvok) +
+
+ + +Načelna shema VF ojačevalnika (radijski signali) +
+
+ +Preveliko **segrevanje** lahko privede do **uničenja ojačevalnika**, zato je potrebno poskrbeti za **primerno hlajenje** + + + +### Razred delovanja ojačevalnikov + +
+
+ +**Nastavitev delovne točke določa kvaliteto ojačevalnika**, predvsem glede **linearnosti**, pa tudi glede ojačanja toka $A_I$, napetosti $A_U$ in **izkoristka** $\eta$ + +Glede na **postavitev delovne točke ločimo**: +- Razred A +- Razred B +- Razred AB +- Razred C +
+ + +
+ + + +### Razred A + +
+
+ +**Delovna točka**: se nahaja v linearnem delu $\frac{I_C}{U_{BE}}$ karakteristike, zato teče skozi tranzistor enosmerni kolektorski tok, ne glede na prisotnost vhodnega signala + +**Izkoristek**: **zelo majhen** (30%), majhna izhodna moč + +**Linearnost**: **popačenje najmanjše**, linearnost največja + +**Uporaba**: v VF tehniki za SSB ojačevalce, QPSK, QAM … +
+ + +
+ + + +### Razred B + +
+
+ +**Delovna točka**: se nahaja v spodnjem delu $\frac{I_C}{U_{BE}}$ karakteristike običajno v točki, kjer preneha teči kolektorski tok, ko ni na vhodu signala + +**Izkoristek**: **dosti večji** kot v razredu A (65%), prav tako izhodna moč + +**Linearnost**: **veliko popačenja** + +**Uporaba**: v ojačevalnikih moči +
+ + +
+ + + +### Razred AB + +
+
+ +**Delovna točka**: zaradi zakrivljenosti karakteristike $\frac{I_C}{U_{BE}}$ v njenem spodnjem delu, se popačenju ne moremo izogniti, zato v AB razredu delovno točko postavimo v vmesni položaj + +**Izkoristek**: **med razredoma A in B** (50-60%) + +**Linearnost**: **boljša kot B**, popačenje drastično zmanjša + +**Uporaba**: ojačevanje napetosti in tudi moči +
+ + +
+ + + +### Razred C + +
+
+ +**Delovna točka**: se nahaja v zapornem področju tranzistorja + +**Izkoristek**: **najboljši**, tok skozi tranzistor teče samo v vrhovih period vhodnega signala (80%) + +**Linearnost**: **zelo slaba**, popačenja največja + +**Uporaba**: primeren za signale kjer se ne spreminja amplituda (**CW**, **FM** in FSK), predvsem v VF tehniki, v NF vezjih ni uporaben +
+ + +
+ + + +### Razred D + +"Digitalen" način delovanja (PWM) + +Zelo dober izkoristek + +Linearnost / popačenje ni pomembno + +---- + +### Napajalnik – usmernik + +Imamo 230V izmenični vir napajanja, želimo pa 12V enosmerni tok + +#### Napetost znižamo + +Izmenično napetost znamo znižati z uporabo transformatorja + + + + + +#### Usmernik + +
+ + +Polvalno in polnovalno usmerjanje +
+ + + +#### Gladilnik + + + + + +#### Stabilizator + +
+
+ + +Glajena in stabilizirana napetost +
+
+
+ +
+
+ + + +#### Zaščita + +- Napajalnik zaščitimo pred prevelikim tokom / kratkim stikom + - varovalka pred transformatorjem in pred izhodom + - omejitev toka s tranzistorji +- Naprave na izhodu napajalnika zaščitimo pred preveliko napetostjo + - zener dioda, tiristor in varovalka na izhodu + + + +#### Izvedba linearnega napajalnika + + + +---- + +### Mikrofoni + +Mikrofon je naprava, ki zvočna nihanja pretvori v električno napetost + +
+
+ + +Ogleni mikrofon +
+
+ + +Kondenzatorski mikrofon +
+
+ + + +
+
+ + +Kristalni mikrofon +
+
+ + +Dinamični mikrofon +
+
+ +---- + +### Zvočnik + +
+
+ +Električno napetost pretvarja v mehansko nihanje membrane +
+ + +
diff --git a/6_radiotehnika.md b/6_radiotehnika.md new file mode 100644 index 0000000..0abb36a --- /dev/null +++ b/6_radiotehnika.md @@ -0,0 +1,1384 @@ +--- +layout: cover +--- + +# Radiotehnika + +---- + +### Signali + +**Signali so nosilci informacij** + +**Nosilni val** / Nosilni signal / Nosilec: Radijski val določene frekvence, ki “nosi” informacijo + +**Modulacija**: postopek, s katerim nosilni val **opremimo z informacijo** + +**Sinusni signal**: +- primeren za uporabo, ker se **pri prehodu skozi linearno električno vezje njegova oblika ne spremeni** +- Spremeni se mu lahko **le amplituda in faza** + +VSAK signal lahko obravnavamo kot **vsoto sinusnih signalov različnih amplitud in frekvenc** + + + +**Frekvenčni spekter**: podaja informacijo o zastopanih frekvencah signala, amplitudi + +Frekvence sinusnih signalov, ki so večkratniki osnovne frekvence imenujemo **višje harmonske komponente** (harmoniki) + + + + + +Fazni zasuk: **vsak filter povzroči fazni zasuk**! + +**Filtriranje signala**: izločitev določenih frekvenčnih komponent + + + + + +Če želimo signalom spremeniti amplitudo jih ojačimo ali oslabimo. +- **Ojačevalnik**: naprava, ki signale ojačuje (poveča amplitudo) +- **Slabilnik** (**atenuator**): naprava, ki signale slabi (zniža amplitudo) + +
+ + +
+ +---- + +### Vzorčenje signalov + +
+
+ +Pretvorba analognega signala v digitalnega z **A/D** pretvornikom imenujemo **vzorčenje** + +**Minimalna vzorčevalna frekvenca** pri digitalni obdelavi signalov je enaka **dvakratniku najvišje frekvence vzorčenega signala** +- **Nyquistova frekvenca** +
+ + +
+ + + +**Kvantiziranje**: vrednosti vzorca priredimo najbližje možne diskretne vrednosti + +**Kvantizacijski nivo** +- Število kvantizacijskih nivojev $= 2^n$, $n$ je število bitov + +**Kvantizacijski šum ali napaka**: negotovost ko na podlagi diskretne vrednost signala ni mogoče zagotovo sklepati na pravo vrednost prvotnega signala + + + +
+
+ +**Aliasing** (popačeno zaznavanje): spektralno prekrivanje pri vzorčenju analognega signala + +**Anti-aliasing filter** (protiprekrivni filter): omeji pasovno širino vhodnega signala pred digitalno obdelavo +
+ + +
+ + + + + +---- + +### Digitalno procesiranje signalov + +**Konvolucija**: rezultat matematične **kombinacije dveh signalov**, kjer dobimo kot rezultat tretji signal. Izredno pomembna operacija pri DSP. + +Konvolucija: $y[n] = x[n] * h[n]$ + +Konvolucijska vrsta: $y[i] = \sum _{j=0}^{M-1} h[j] \cdot [i-j]$ + + + +**Fourierjeva transformacija** - pretvorba signala iz časovnega prostora v frekvenčni prostor + +**Diskretna Fourierova transformacija** (**DFT**) - z digitalnimi signali + +**Hitra Fourierova transformacija** (**FFT**) - učinkovitejša in hitrejša metoda za izračun DFT + + + + + +Digitalni filtri: +- **FIR** - filter s končnim impulznim odzivom +- **IIR** - filter z neskončnim impulznim odzivom + +---- + +### Množenje frekvenc + +Lastnost ojačevalnikov, da popačijo signal (signal vsebuje višje harmonske +komponente) nam pride prav pri tako imenovanem **množenju frekvenc** + +**Množilna stopnja**: realni ojačevalnik v C razredu + + + +---- + +### Mešanje signalov + +
+
+ +V mešalnik pripeljemo signal $f_1$ in $f_2$, +na izhodu mešalnika dobimo: +- $f_1 + f_2$ (mešanje navzgor) +- $f_1 - f_2$ (mešanje navzdol) + +
+ + +
+ + + +#### Primer + +Če mešamo $f_1 =$ 576 MHz in $f_2 =$ 144 MHz dobimo na izhodu: +- $f_1 + f_2 =$ 720 MHz +- $f_1 - f_2 =$ 432 MHz + +Če želimo samo 432 MHz ali 720 MHz, dodamo filter. + +---- + +### Modulacija + +Nosilec **moduliramo z informacijskim signalom**, postopek imenujemo **modulacija**. + +Obratni postopek, ki **izlušči informacijo na sprejemni strani iz nosilca** imenujemo **demodulacija**. + +$$ u(t) = A \cdot \cos(2 \pi f t + \varphi) $$ + +Za prenos informacije spreminjamo enega od parametrov: +- amplitudo → **Amplitudna** modulacija (**AM**, A3E) +- frekvenco → **Frekvenčna** modulacija (**FM**, F3E) +- fazo → **Fazna** modulacija (**PM**, G3E) + +---- + +### Pasovna širina + +Če se signal s časom **hitro spreminja**, potem ima **širok frekvenčni spekter** oz. zahteva veliko **pasovno širino**! + +Pasovna širina in frekvenca nosilca sta tesno povezani: +Večja kot je pasovna širina, višja mora biti frekvenca nosilca + +Pasovna širina realnega vzporednega nihajnega kroga, ki ima Q faktor od 10 do 100, se giblje od 1 do 10% okrog resonančne frekvence. + +
+
+ +$$ 0.01 < \frac{B}{f_c} < 0.1 $$ +
+ +$B$ – pasovna širina +$f_c$ – frekvenca nosilca +
+ + + +Zgornja meja zmogljivosti komunikacijskega sistema: + +
+
+ +$ C = B \cdot \log \bigg(1 + \dfrac{S}{N} \bigg) $ +
+ +$C$ – kapaciteta kanala +$B$ – pasovna širina +$\frac{S}{N}$ – razmerje signal/šum +
+ +---- + +### Amplitudna modulacija – AM + +Spreminjamo **amplitudo nosilca** + +Pasovna širina AM signala: +$ B = 2 \cdot W $ +$W$ – pasovna širina modulacijskega signala + +
+ + +
+ +---- + +### Double-SideBand – DSB + +Izkaže se, da pri AM modulaciji najmanj 50% moči porabimo za nosilec, ki sploh ne nosi nobene informacije. + +Nosilec potlačimo DSB-SC (Double-SideBand Supressed-Carrier) ali krajše **DSB**. + + + +---- + +### Single-SideBand – SSB + +Da privarčujemo še na pasovni širini signala odstranimo še enega od bočnih pasov, saj na obeh prenašamo enako informacijo in dobimo enobočno modulacijo, ki jo označimo s **SSB** (single-sideband). +- **LSB** – spodnji bočni pas (lower sideband) +- **USB** – zgornji bočni pas (upper sideband) + + + +---- + +### Frekvenčna modulacija – FM + +Spreminjamo **frekvenco nosilca** + +
+ + +
+ + + +Pasovna širina FM signala: +$ B = 2 \cdot W + 2 \cdot D $ +$W$ – max frekvenca modulacijskega signala +$D$ – frekvenčna deviacija + +**Frekvenčna deviacija** je definirana kot **največji odmik frekvence FM signala od nosilne frekvence** in je sorazmerna amplitudi modulacijskega signala. + +---- + +### Fazna modulacija – PH + +
+
+ +Spreminjamo **fazo nosilca** + +Ker spreminjamo fazo, spreminjamo tudi frekvenco, zato se tudi pri fazni modulaciji **pojavi frekvenčna deviacija** + +  + +Ogled animacije je možen na: https://en.wikipedia.org/wiki/Phase_modulation +
+ + +
+ +---- + +### Telegrafija (CW) + +**Continuous wave** + +Najpreprostejši način moduliranja nosilnega vala. +**Nosilec** preprosto **vklapljamo in izklapljamo** v ritmu vnaprej dogovorjenih znakov (Morse-kod). + + + +Ima **najmanjšo pasovno širino** (100 Hz), oddajamo/sprejemamo samo eno frekvenco. + +---- + +### Radijski oddajnik + +**Radijski oddajnik**: naprava, ki ustvari radiofrekvenčni signal, ga opremi z informacijo, ojača in nato pošlje v anteno, kjer se izseva v prostor + +Elektronski sklopi, ki proizvajajo radiofrekvenčne (RF) signale: +- električni oscilatorji +- RF sintezatorji + +---- + +### Oscilatorji + +Električni **oscilator**: **izvor izmeničnih tokov** ali napetosti **določene frekvence** + +Oscilator na področju radijskih frekvenc → RF oscilator + +Prva stopnja oddajnika, določa frekvenco na kateri bo oddajnik deloval + + + +Če nihajnemu krogu dovedemo začetno energijo, ta zaniha (dušeno). + +Želimo nedušeno nihanje → oscilator + +
+ + +
+ + + +#### Osnovni elementi oscilatorja + +
+
+ +- **Izvor energije** + - enosmerne napetosti +- **Nihajni krog** + - določa frekvenco +- **"Ventil"** (tranzistor ali elektronka) + - dovajanje energije nihajnemu krogu +- **Povratna zveza** +
+ + +
+ + + +#### Realni oscilatorji + +
+
+ +**Amplitudni šum**: nezaželeno spreminjanje amplitude + +**Fazni šum**: nezaželeno spreminjanje faze + +Dobremu oscilatorju se frekvenca čimmanj spreminja (je **stabilen**), +nanj vplijo: +- mehanska in električna izvedba +- starost +- temperaturne spremembe +
+ + +
+ + + +#### Vrste oscilatorjev + +- **Kristalni** oscilatorji (**XO**) +- **Kristalni** oscilatorji **spremenljive frekvence** (**VXO**) + - kristalu zaporedno/vzporedno vežemo spremenljiv kondenzator ali zaporedno tuljavo +- Oscilator **spremenljive frekvence** (**VFO** – Variable Frequency Oscillator) + - LC nihajni krog, zaporedno vežemo spremenljiv kondenzator +- **Napetostno kontroliran** oscilator (**VCO** – Voltage Controlled Oscillator) + - LC nihajni krog z varaktorsko (varicap) diodo + + + +#### Heterodinski oscilator + +
+
+ +"Heterodyning" – kombiniranje ali mešanje dveh signalov + +Zgornja meja VFO-ja z dobro stabilnostjo: 7-10 MHz + +  + +Pri višjih frekvencah se uporablja **heterodinski oscilator** (Heterodyne oscillator) + +Signal iz **VFO**-ja **mešamo s** signalom **XO** (kristalnega oscilatorja) +in nato **s filtrom izločimo signal želene frekvence** +
+ + +
+ +---- + +### RF sintetizatorji + +Danes vlogo VFO prevzeli frekvenčni sintetizatorji: +- PLL sintetizator +- DDS sintetizator +- Kombinacija obeh + + + +### PLL sintetizator + +
+
+ +**PLL** – Phase-Locked Loop + +Uporabimo **VCO**, ki ga **s pomočjo povratne zanke stabiliziramo** (fazno sklenjena zanka) + +Frekvenco **nastavljamo digitalno s programiranjem programirnega delitelja** + +Referenčna frekvenca ($f_\text{REF}$) določa najmanjši frekvenčni korak +
+ + +
+ + + +#### Primer PLL sintetizatorja + +Imamo PLL sintetizator. Zanka se je že ujela. Referenčna frekvenca je 100 kHz, programirni delitelj pa je nastavljen tako, da deli s 128. Kolikšna je izhodna frekvenca? + +$$ f_\text{IZH} = N \cdot f_\text{REF} $$ + +$$ f_\text{IZH} = 128 \cdot 100\ \mathrm{kHz} = 12800\ \mathrm{kHz} = 12.8\ \mathrm{MHz} $$ + + + +### Direktni digitalni sintetizator – DDS + +
+
+ +Vrednosti sinusa vnaprej izračunamo in jih shranimo (v "glej tabeli") + +Ko preberemo iz tabele, pretvorimo v analogni signal in ga filtriramo + +Frekvenco določa generator urnih impulzov (clock) +
+ + +
+ +---- + +### Zgradba oddajnika + +- **Oscilator** +- **Ločilna stopnja** (Buffer) + - prepreči vpliv naslednje stopnje na oscilator +- **Krmilna stopnja** (Driver) + - ojača signal na moč pri kateri bo delovala končna stopnja +- **Končna stopnja** (PA – Power Amplifier) + - ojača signal in filtrira višje harmonike + - izkoristek: 40-70% + +Vse stopnje morajo biti impedančno prilagojene → za največji prenos moči + +---- + +### CW oddajniki + +
+
+ +Oječevalnik razreda C +
+ + +
+ + + +#### "Klik" in "Anti-klik" filter + +
+ + +
+ +---- + +### SSB oddajniki + +
+
+ +**Balansni modulator**, vhodni modulacijski signal in nosilni val → DSB signal + +DSB signal s SSB filtrom (kristalni, 1.8 – 3 kHz) pretvorimo v USB ali LSB signal + +Oječevalnik razreda A ali AB +
+ + +
+ + + +#### Ovojnica SSB signala + +
+
+ +Želimo da je razlika med vrhnjo in povprečno vrednostjo amplitude čim manjša + +- Audio **clipper**: **poreže vrhove** zvočnega signala +- Audio **compressor**: **drži** zvočni **signal v določenem območju** + - ojačevalnik s povratno vezavo +- Obstajata tudi RF clipper in RF compressor oz. **ALC** (Automatic Level Control) +
+ + +
+ +---- + +### FM oddajniki + +
+
+ +- Kvaliteten prenos govora +- Ne uporablja na KV (velika pas. širina) + - Izjema 10 m +- Zaporedno kristalu vezana varaktorska dioda, ki spreminja frekvenco +- Signal nato "prestavimo" v pravilno frekvenčno območje + - množilne stopnje +- Ojačevalnik razreda C +
+ + +
+ + + +#### FM oddajnik s PLL sintetizatorjem + + + +---- + +### Radijski sprejemniki + +---- + +### Šum + +- **Termični šum** + - Naključno gibljenje elektronov po prevodnikih in polprevodnikih + - Odvisen od **pasovne širine** in **temperature** + - pri 0 K je moč šuma 0 +- **Šum okolice** + - Naravni šum iz neba ali človeškega izvora + - Predstavimo s **šumno temperaturo** antene ($T_a$) + - namesto antene upor segret na temperaturo $T_a$ + - Močno odvisen od **frekvence** + + + + + + + +#### Razmerje signal/šum + +Signal/noise ratio (SNR, S/N) + +**Razmerje med močjo koristnega signala in močjo šuma** + +$$ \frac{S}{N} = 10 \log \bigg( \frac{\text{moč signala}}{\text{moč šuma}} \bigg) \ [\mathrm{dB}] $$ + + + +#### Šumni faktor in šumno število + +Vsaka stopnja (ki je izvor termičnega šuma), poslabša razmerje signal/šum, ki ga dobi na vhodu + +**Šumni faktor** (**F**, noise factor) pove **koliko se poslabša razmerje signal/šum** + +$$ F = \frac{\text{SNR}_\text{vh}}{\text{SNR}_\text{iz}} $$ + +Bolj pogosto uporabljamo **šumno število** (**NF**, noise figure) +- **šumni faktor** v dB + +$$ NF = 10 \log F \ [\mathrm{dB}] $$ + + + +#### Ekvivalentna šumna temperatura + +Na vhod stopnje priključimo na 0 K ohlajen upor, šum na izhodu stopnje je termični šum same stopnje. Upor segrevamo, dokler ne bo šum na izhodu dva-krat povečal. Temperatura upora v tej točki je **ekvivalentna šumna temperatura**. + +$$ T_e = T_o \bigg( 10^{\frac{NF}{10}} - 1 \bigg) = T_o (F - 1) \ [\mathrm{K}] $$ +$$ T_o = 290K $$ + + + +#### Skupna ekvivalentna šumna temperatura (sistema) + +
+ + +
+ + + +- **Na nižjih frekvencah** (KV) je **šumna temperatura antene** tako **velika**, da se termični šum sprejemnika skoraj ne pozna +- Na višjih frekvencah (šumna temperatura antene ja majhna), se uporablja dobre **nizko šumne predojačevalce**, kot **prva stopnja** sprejemniškega sistema + + + +#### Primer + +Imamo dve zaporedno vezani stopnji. +Ekvivalentna šumna temperatura prve stopnje je 100 K, njeno ojačenje pa je 10. +Ekvivalentna šumna temperatura druge stopnje je 500 K, njeno ojačenje pa je 100. +Kolikšna je skupna ekvivalentna šumna temperatura? + +$$ T_e = T_{e1} + \frac{T_{e2}}{G_1} $$ + +$$ T_e = 100 \ \mathrm{K} + \frac{500 \ \mathrm{K}}{10} = 150 \ \mathrm{K} $$ + +---- + +### Osnovni pojmi + +#### Občutljivost + +- **Kako močan mora biti RF signal** na vhodu sprejemnika, da bo na izhodu **razmerje signal/šum 10 dB** +- Boljša kot je občutljivost, šibkejše signale lahko sprejemamo +- **Obratnosorazmerna pasovni širini** + - SSB sprejemnik ima boljšo občutljivost kot FM sprejemnik +- Podajamo relativno glede na 1 mW ali napetost na vhodnih sponkah + +$$ P_{dBm} = 10 \log \bigg( \frac{P}{1 \ \mathrm{mW}} \bigg) \ [\mathrm{dBm}] $$ +$$ u = \sqrt{2PR} \ [\mathrm{V}] \quad R = 50 \ \Omega$$ + + + +#### Selektivnost + +- **Prepuščanje signala v določenem pasu**, in **dušenje signalov izven** njega +- To dosežemo z ustreznimi pasovno-prepustnimi filtri + - CW: 500 Hz + - SSB: 2.4 kHz + - FM: 15 kHz + + + +#### Dinamično območje + +- **V kakšnih mejah se lahko giblje jakost vhodnega signala** + - Okoli 80 dB do 120 dB + - **Spodnja meja**: termični šum in šum okolice + - **Zgornja meja**: obnašanje sprejemnika pri močnih signalih + - preobremenitev, intermodulacijsko popačenje, … + +  + +#### Preobremenitev + +- Na sprejemniku se pojavi zelo močan RF signal, **sprejemnik postane neobčutljiv** "ogluši" + + + +#### Intermodulacijsko popačenje + +- Intermodulation distortion (**IMD**) + +- Sprejemniki so **sestavljeni** tudi **iz nelinearnih vezij** → **pojavijo se nezaželene komponente spektra**, ki jih težko izločimo, če so blizu želenim frekvencam + +- Intermodulacijska produkta tretjega reda: $2f_1 - f_2$ in $f_1 - 2f_2$ + - tudi višji redi, ampak imajo dosti manjšo jakost + +- Merilo za linearnost je **presečna točka intermodulacije tretjega reda** (**IP3** – third-order intercept point) + - podajamo v dBm + - Čim **višji** je **IP3**, **boljši** je **sprejemnik** + +---- + +### Detektorji + +Iz signala **izluščijo informacijo** (demodulacija → demulator) + + + +#### Detekcija AM signalov + +**Detektor ovojnice**: vhodni signal usmerimo z diodo in filtriramo z nizko-prepustnim filtrom + +
+ + +
+ + + +#### Detekcija CW signalov + +Nosilec vklapljamo po ritmu + +Detektiramo tako, da **mešamo s signalom**, ki ima **malenkost nižjo ali višjo frekvenco**, ki ga generiramo z **BFO** (beat frequency oscillator) + +En izmed produktov je v nizkofrekvenčnem (NF) področju, ostalih se znebimo + +  + +##### Primer +Želimo detektirati CW signal s frekvenco 3550 kHz, na BFO nastavimo frekvenco 3550.5 kHz, dobimo RF signal s frekvenco 7100.5 kHz in NF signal s frekvenco 0.5 kHz oz 500 Hz. Ta signal lahko poslušamo. + + + +#### Detekcija SSB signalov + +
+
+ +V **detektor pripeljemo mankajoči nosilec**, ki ga generiramo z **BFO** + +Signal detektiramo z **produkt detektorjem** (mešalnik), izhod je produkt SSB signala in primerno izbrane frekvence BFO + +Izhod mešalnika filtriramo z nizko-prepustnim filtrom + +S produkt detektorjem **lahko detektiramo tudi CW in AM signale** +
+ + +
+ + + +#### Detekcija FM signalov + +
+
+ +**Frekvenčni diskriminator** + +**FM** signal **pretvorimo v AM** signal, ki ga detektiramo z **detektorjem ovojnice** + +**Omejevalnik** (limiter) zagotovi **konstantno amplitudo** pred FM-AM pretvorbo +
+ + +
+ + + +##### FM-AM pretvorba + +Izkoristimo **linearno odvisnost amplitude od frekvence** + +
+
+ + +LC nihajni krog +
+
+ + +**Balansni diskriminator** +Povečamo frekvenčno območje linearnosti +
+
+ + + +Izkoristimo **linearno fazno karakteristiko** + +Diskriminator s faznim zamikom (phase-shift discriminator) +oz. **Foster-Seeley diskriminator** + + + +---- + +### Sprejemnik z direktnim mešanjem + +Sprejemanje CW in SSB signalov (tudi AM) + +
+
+ +CW: +Če frekvenco VFO nastavimo na frekvenco signala, ga ne bomo slišali (**zero beat**) +Frekvenco VFO nastavimo malo nad ali pod frekvenco signala + +SSB / AM: +Frekvenco VFO nastavimo na frekvenco nosilca +
+ + +
+ + + +Uporablja predvsem nizkih frekvencah KV (šum neba >> šum mešalnika) + +Signal ojačamo po demodulaciji (80 – 100 dB) → lahko pojavi **mikrofonija** (mehanski tresljaji), motnje se ojačajo na zvočnik + +CW ali SSB selektivnost dosežemo s filtri med ojačevalnikom in zvočnikom + +---- + +### Superheterodinski sprejemnik + +
+
+ +Vhodni signal **mešamo** (konvertirajo) na **eno ali več medfrekvenc** (brez izgube informacije) + +Sproti filtriramo neželene frekvence iz mešalnika + +Sodobni sprejemniki pokrivajo zelo široko frekvenčno območje, dobri ojačevalniki se dajo narediti samo za ožja frekvenčna področja +Zato je smiselno **vse signale prestaviti** na neko **skupno medfrekvenco** (MF) in jih obdelati tam + +**Preselektor**: pasovno-prepustna filtra pred in za RF ojačevalnikom +
+ + +
+ + + +
+
+ +Želimo, da se ojačanje sprejemnika spreminja glede na jakost signala + +**AGC** (automatic gain control): vezje za **avtomatsko regulacijo ojačanja** + +Izhod AGC vezja lahko uporabimo za ocenjevanje jakosti signala + +**S-meter** (signal meter): S-stopnje (1-9, vsaka ≈ 6 dB), če je signal močnejši od 9, se podajo decibeli (npr.: +20 dB) + +**Squelch**: ko je signal manjši od določene meje, NF signal izklopi +
+ + +
+ + + +
+
+ +**Problem zrcalnih frekvenc**: če 14 MHz signal mešamo s signalom 5 MHz, dobimo medfrekvenčni signal 9 MHz (14 - 5). Problem nastane če pride na vhod 4 MHz signal saj se tudi ta meša na 9 MHz (4 + 5). + +Delimo (po številu medfrekvenc): +- enojni superheterodinski sprejemnik +- dvojni superheterodinski sprejemnik + - prva visoka (proti zrcalnim frekvencam) + - druga nizka (boljša selektivnost) +
+ + +
+ +---- + +### SDR sprejemnik + +
+
+ +
+
+ +Idealni SDR sprejemnik + + +
+
+ + + + + +---- + +### Valovanje + +Prenos energije v obliki valov +- Valovanje vode – voda kot medij za prenos +- Zvok – valovanje zraka +- **Elektromagnetno valovanje** – valovanje elektromagnetnega (EM) polja + + + +### Elektromagnetno valovanje + +
+
+ +V praznem prostoru se širijo s **hitrostjo svetlobe**: +$c = 3 \cdot 10^8 \frac{\mathrm{m}}{\mathrm{s}}$ + +$$ c = f \cdot \lambda \qquad f = \frac{c}{\lambda} \qquad \lambda = \frac{c}{f} $$ + +$f$ – frekvenca valovanja (Hz) +$\lambda$ – valovna dolžina (m) + +$$ f = \frac{300}{\lambda} \qquad \lambda = \frac{300}{f} $$ + +$f$ – frekvenca valovanja (**MHz**) +$\lambda$ – valovna dolžina (m) +
+ + +
+ + + +#### Primera + +Kakšna je frekvenca valovanja z valovno dolžino 80 m? + +$$ f(\mathrm{MHz}) = \frac{300}{80} = 3.750 \mathrm{MHz} $$ + +  + +Kakšna je valovna dolžina valovanja s frekvenco 145.0 MHz? + +$$ \lambda = \frac{300}{145} = 2.07 \mathrm{m} $$ + + + +### Frekvenčna delitev + +| Ime | Okrajšava | Frekvenca | Valovna dolžina | +| ---: | :---: | :---: | :---: | +| Zelo nizke frekvence | VLF | 3 kHz – 30 kHz | > 10 km | +| Nizke frekvence | LF | 30 kHz – 300 kHz | 10 – 1 km | +| Srednje frekvence | MF | 300 kHz – 3 MHz | 1000 – 100 m | +| Visoke frekvence | HF | 3 MHz – 30 MHz | 100 – 10 m | +| Zelo visoke frekvence | VHF | 30 MHz – 300 MHz | 10 – 1 m | +| Ultra visoke frekvence | UHF | 300 MHz – 3 GHz | 100 – 10 cm | +| Super visoke frekvence | SHF | 3 GHz – 30 GHz | 10 – 1 cm | +| Ekstremno visoke frekvence | EHF | 30 GHz – 300 GHz | 1 – 0.1 cm | + +---- + +### Razširjanje radijskih valov + +EM valove pri razširjanju lahko ovira atmosfera, zemlja, voda, objekti, … + +Razširajo v se ravnih linijah, **z večanjem razdalje** se **jakost zmanjšuje** + +Jakost pada s **kvadratom razdalje** (pri 2 km od izvora je moč 1/4 moči pri 1 km) + +
+
+ +Pravokotni polji: +- E – **električno polje** + - posledica napetosti +- H – **magnetno polje** + - posledica toka +
+ + +
+ + + +#### Polarizacija + +
+
+ +Smer električne komponente (**E**) določa **polarizacijo** valovanja + +Vrste polarizacij: +- Linearna + - **vertikalna** (FM, več šuma) + - **horizontalna** (KV, SSB, CW) +- Krožna + - desna / leva + - uporaba v UKV, sateliti +- Eliptična + +Odboji in nepravilnosti v ionosferi povzročajo spreminjanje polarizacije +
+ +
+ +
+ +
+ + + +#### Odboj, lom in uklon valovanja + +**Odboj** ali **refleksija** – usmerjeno (ravna površina) ali difuzijsko (valovanje se razprši) odbijanje od površin + +**Lom** ali **refrakcija** – nastane pri prehodu med dvema prenosnima snovema z različnimi dielektričnimi konstantami (različna hitrost razširanja svetlobe) + +**Uklon** ali **difrakcija** – nastane na robovih ovir, zelo frekvenčno odvisen (višje frekvence se uklonijo manj) + + + +---- + +### Zemeljska atmosfera + +
+
+ +- Troposfera + - 0 - 11 km + - meteorološki procesi + - temperatura z višino pada (–50 °C) + - stanje pomembno za razširjanje UKV valov +- Stratosfera + - 11 - 80 km + - ne vsebuje vode + - ozonska plast +- Ionosfera +
+ + +
+ + + +#### Ionosfera + +
+
+ +80 - 800 km + +Sestavljena iz velikega števila **elektronov in ionov**, nastanejo **zaradi UV in rentgenskih žarkov sonca** (nevtralne molekule se cepijo) +Rekombinacija: ponovna združitev elektronov in ionov + +Radijski valovi se "odbijajo" (počasno zavijajo) + +**Sloji**: +- **D** sloj (80 km) – prisoten le čez dan +- **E** sloj (120 km) +- **F** sloj – ponoči in v času nizke aktivnosti sonca en sloj + - **F1** (220 km) in **F2** (400 km) +
+ + +
+ +---- + +### Delitev radijskih valov glede na razširjanje + +
+
+ +- **Površinski** oz. **talni** + - širijo ob površini zemlje + - dolgi in srednji valovi (LF, MF) +- **Troposferski** oz. **direktni** + - širijo v troposferi + - UKV valovi + - če zadanejo oviro, se odbijejo +- **Prostorski** oz. **ionosferski** + - širijo v prostor in odbijejo od ionosfere (lahko tudi večkrat – skoki) + - kratki valovi (KV) + - višja kot je frekvenca, večja mora biti gostota elektronov +
+ + +
+ + + +### Aktivnost sonca – solarni ciklus + +Solarni maksimum – največja aktivnost sonca (11 let) + +Največ UV sevanja, ko je veliko sončnih peg (ciklus sončnih peg) + +
+ + +
+ + +
+ +---- + +### Kritična frekvenca, najvišja in najnižja uporabna frekvenca + +**Kritična frekvenca** ($f_\text{kr}$): **najvišja** frekvenca valovanja, ki se **pod kotom 90° odbije** od ionosfere. + +  + +**Najvišja uporabna frekvenca** (MUF – Maximum usable frequency): **najvišja** frekvenca valovanja, ki se **pod vpadnim kotom $\varphi$ še odbije**. + +$$ \text{MUF} = \frac{f_\text{kr}}{\cos(\varphi)} $$ + +**Najnižja uporabna frekvenca** (LUF – Lowest usable frequency): tudi frekvenca slabljenja, najnižja frekvenca v KV za prostorski val. Nižje frekvence se bodo v ionosferi absorbirale. + +---- + +### Fading (presih) + +"feding" + +**Nihanje jakosti signala** (QSB) + +Vzroki: +- Različnih poteh signala do sprejemnika +- Spreminjanje ionizacije +- Povečanje absorbcije D sloja +- Odboj od dveh različnih slojev +- Odbijanje ob objektov + + + +#### Fading zaradi interference + +Zaradi različnih poteh signala do sprejemnika pride do **interference** + +Signali **v fazi jakost povečajo**, signali **iz faze jakost zmanjšajo** ali v skrajnem primeru (180°) popolnoma izginejo + +
+ + +
+ +---- + +### Pogoji razširjanja valov na KV področju + +- **2200 m (135,7 kHz – 133,8 kHz)** + - površinski val, ne odbija od ionosfere +- **630 m (472 kHz – 479 kHz)** + - površinski val, ne odbija od ionosfere +- **160 m (1,8 MHz – 2 MHz)** + - čez dan D sloj absorbira, lahko se odbijajo od E sloja + - atmosferske in industrijske motnje + - dobre propagacije predvsem pozimi in ponoči +- **80 m (3,5 MHz – 3,8 MHz)** + - čez dan D sloj absorbira, lahko se odbijajo od E sloja + - dobre propagacije ponoči ali pozimi + - podnevi možne lokalne zveze + + + +- **60 m (5,3515 MHz – 5,3665 MHz)** + - značilnosti med 80 m in 40 m pasom + - dobre propagacije ponoči ali pozimi +- **40 m (7 MHz – 7,2 MHz)** + - podobno kot 80 m pas, možne daljše razdalje tudi čez dan + - siva linija (gray line) – med dnevom in nočjo + - atmosferske najbolj izrazite poleti +- **30 m (10,1 MHz – 10,15 MHz)** + - ponoči možne zveze po celem svetu, čez dan po Evropi (1500 km) + - manj industrijskega šuma +- **20 m (14 MHz – 14,35 MHz)** + - pravi DX pas, praktično vedno odprt + - atmosferski in industrijski šum ni problem +- **17 m (18,068 MHz – 18,168 MHz)** + - podobno kot 20 m pas + + + +- **15 m (21 MHz – 21,45 MHz)** + - potrebna velika sončna aktivnost za DX + - že odvisen od E sporadika +- **12 m (24,89 MHz – 24,99 MHz)** + - podobno kot 15 m in 10 m pas +- **10 m (28 MHz – 29,7 MHz)** + - meji na UKV področje → značilnosti UKV in KV + - močno odvisen od sončne aktivnosti + - odprt samo čez dan + +---- + +### Pogoji razširjanja valov na UKV in višjih področjih + +**Na UKV valove** (nad 30 MHz) **ionosfera** (aktivnost sonca) **ne vpliva** + +Uporabljamo jih za: +- Direktne zveze (optična vidljivost) +- Zveze preko satelitov +- Oboj od Lune (EME) +- … + +Izjema je 6-metrski pas (50 MHz), ki se pri močni ionizaciji (E sporadik) obnaša kot 10-metrski pas. + + + +#### Temperaturna inverzija + +
+
+ +UKV valovi pri prehodu skozi pas inverzije zavijejo nazaj proti Zemlji + +Višji kot je pas, večji je domet + +Možna tudi dvojna inverzija + + +
+ + +
+ + + +#### Sporadični E sloj – ES + +
+
+ +V območju E sloja nastane **oblak velike koncentracije elektronov**, ki odbija UKV valove + +Domet poveča tudi do 2000 km +
+ + +
+ +#### Odboj od meteoritskih sledi – MS + +
+
+ +Meteor, ki izgoreva, pušča za sabo zelo **močno ionizirano sled**, ki odbija UKV valove + +Večji meteorit → daljše izgorevanje → daljše zveze +
+ + +
+ + + +#### Odboj od polarne svetlobe – AURORA + +
+
+ +V območju Zemljinega pola zelo **močno ioniziran del E sloja**, ki lahko odbija UKV valove + +Odboj je zelo difuzen, signali so zelo šumni (predvsem samo CW) +
+ + +
+ +#### Odboj od Lune – EME + +
+
+ +Signal potuje 2 sekundi + +Potrebne velike moči in dobre antene zaradi dolgih razdalj in slabljenja + +Pri odboju se lahko spremeni polarizacija +
+ + +
+ + + +#### Transalpska propagacija – TAP + +FAI (Field Aligned Irregularity) – nepravilnosti v porazdelitvi polja + +Oddani signal spremeni smer + +Najpogosteje se pojavlja od sredine maja do konca julija + +#### Transekvatorialna propagacija – TEP + +Nenavadno dolge zveze (okoli 4000 km) v smeri sever - jug + +Iz naših krajev je možno vzpostaviti zveze z amaterji na območju južne Afrike + + + +#### Delo preko umetnih satelitov + +
+
+ +UKV valovi nemoteno prebijejo ionosfero + +Lahko tudi z manjšimi močmi in enostavnimi antenami + +Običajno oddajamo in sprejemamo na različnih frekvenčnih pasovih ("Cross band") +
+ + +
+ +---- + +### Značilnosti nekaterih UKV področij + +- **6 m (50 MHz – 52 MHz)** + - V času maksimalne aktivnosti Sonca pravi DX pas + - Poleti pogosti pojavi Es +- **2 m (144 MHz – 146 MHz)** + - Najpopularnejši UKV pas + - troposfersko razširjanje, inverzija, Es, FAI, aurora, EME, sateliti + - Lokalne zveze in FM repetitorji +- **70 cm (430 MHz – 440 MHz)** + - Predvsem troposfersko, posebni pojavi redki + - sateliti, EME, Packet Radio, DMR + +Višji frekvenčni pasovi predvsem na eksperimentalni ravni in redkeje uporabljeni + +---- + +### Vpliv višine antene na doseg valov + +
+
+ +**Višje postavljneja antena je** _načeloma_ **boljša antena** + +Višje postavljena antena → nižji kot sevanja → daljši skok (hop) signala + +
+
+ +$$ d = 4.13 \cdot \sqrt{h} $$ +
+
+ +$d$ – oddaljenost (km) +$h$ – nadmorska višina antene (m) +
+
+
+ + +
diff --git a/7_antene.md b/7_antene.md new file mode 100644 index 0000000..4de6148 --- /dev/null +++ b/7_antene.md @@ -0,0 +1,976 @@ +--- +layout: cover +--- + +# Antene + +---- + +### Zakaj? + +>“Čas, sredstva in napor, ki smo ga vložili v izgradnjo kvalitetnega antenskega sistema, nam bodo prinesli dosti več zadovoljstva ob kvalitetnih zvezah, kot pa če bi te iste zveze dosegli z večanjem moči oddajnika.” + +---- + +### Antena + +**Kaj dela antena?** +Električno moč iz oddajnika pretvori v **elektromagnetne valove** in jih **izzseva v prostor**. + +  + +**Tudi obratno:** EM valovi, ki zadanejo anteno povzročijo nihanje elek. delcev v anteni + +  + +Kaj so signali, kaj motnje? + +---- + +### Dolžina antene + +Ponovimo: + +$$\lambda\ \text{(m)} = \frac{300}{f\ \text{(MHz)}}$$ + +Tipične resonančne dolžine: **$\bm{\frac12 \lambda}$**, $\frac14 \lambda$, $\frac34 \lambda$, $1 \lambda$ + +---- + +### Polvalni dipol + +Najbolj **razširjena** in **najpreprostejša** antena + +Uporablja se tudi kot sestavni del drugih anten (npr. yagi) + +Referenčna antena: z njo določamo ojačanje drugih anten (več kasneje) + + + + + +#### Dolžina polvalnega dipola + +
+
+ +
+
+ +$$ l\ (\textrm{m}) = \frac{150}{f\ (\textrm{MHz})} \cdot k $$ +
+
+ +$l$ – dolžina v metrih +$f$ – frekvenca v MHz +$k$ – faktor vitkosti +
+
+ +$k$ je odvisen od **razmerja valovne dolžine** in **debeline vodnika** + +$$ 0.93 \lesssim k \lesssim 0.98 $$ +
+ + +
+ +---- + +### Impedanca antene + +
+
+ +Impedanca: **Razporeditev toka in napetosti** v točki. + +Napetost in tok fazno zamaknjena za 90° oz. $\frac14 \lambda$ + +$$ Z = \frac{U}{I} $$ +
+ + +
+ +Rezonančna antena: impedanca je **ohmska** + +Antena **predolga**: pojavi se **induktivna reaktanca** +Antena **prekratka**: pojavi se **kapacitivna reaktanca** + +**Impedanco antene** razumemo kot impedanco **v točki napajanja** + +---- + +### Sevalna upornost + +Z njo določamo več lastnosti antene + +Računa se v **točki največje amplitude toka** +Ekvivalentna upornost, na kateri bi se porabila vsa moč oddajnika + +
+
+ +$$ \eta = \frac{1}{ 1 + \frac{R_i}{R_s} } $$ +
+
+ +$\eta$ – (eta) izkoristek +$R_i$ – upornost žice +$R_s$ – upornost sevanja +
+
+ +Na upornost sevanja vplivajo: +**višina** antene, **predmeti v okolici**, kvaliteta tal, dimenzije oblika antene, … + +---- + +### Skrajševalni faktor + +Ločimo **mehansko** in **električno dolžino antene** +_Enaki le v primeru neskončno tanke žice, v praznem prostoru_ + +**Faktor vitkosti**: debelejši vodnik ⇒ večja kapacitivnost +Nihajni krog: večja kapacitivnost ⇒ nižja frekvenca +Torej: debelejšo anteno moramo skrajšati +Za polvalni dipol iz žice okoli 0,98 + +Na KV področju se pojavi še **efekt koncev** (izolator + konec žice) +Iz prakse, najugodnejši skrajševalni faktor: 0,95 + +---- + +### Sevanje antene + +
+
+ +**Izotropna antena:** + +- Točkast izvor, seva v vse smeri enako +- V praksi je NE moremo narediti + +**Usmerjenost sevanja** predstavimo s: +- 3D sliko, ali s +- horizontalnim / vertikalnim sevalnim diagramom +
+ + +
+ +---- + +### Sevalni diagram + + + + + +
+
+ +Horizontalni sevalni diagram + +
+
+ +Vertikalni sevalni diagram + +
+
+ +---- + +### Kot sevanja + +**Širina sevanja antene v glavni smeri** + +V diagramu na glavnem snopu pri **0,71** maksimalne vrednosti. +To je 50 % padec moči oz. **-3dB**. + +
+ + +
+ + + +### Razmerja sevanja + +
+
+ +**F/B ratio – front to back ratio:** +razmerje med napetostjo v smeri maksimalnega sevanja (0°) in njemu nasprotnega sevanja (180°) + +**F/S ratio – front to side ratio:** + razmerje sevanja v direktni smeri in sevanja v bočni smeri (90°, 270°) +
+ + +
+ +---- + +### Dobiček antene (ojačanje) + +Razmerje ojačanja moči glede na referenčno anteno + +
+
+ +$$ G = \frac{P_1}{P_2} $$ +
+
+ +$P_1$ – moč antene, ki se troši na anteni +$P_2$ – moč referenčne antene v istem polju +
+
+ +$$ G(\mathrm{dB}) = 10 \cdot \log \bigg( \frac {P_1}{P_2} \bigg) = 20 \cdot \log \bigg( \frac {U_1}{U_2} \bigg) $$ + +---- + +### Referenčne antene + +**Izotropna (točkasta) antena:** +Ojačanje merimo z **dBi – decibel glede na izotropni radiator** + +**Polvalni dipol:** +Ojačanje merimo z **dBd – decibel glede na dipol** + +Ojačanje dipola glede na izotropni radiator je 2,14 dBi + +---- + +### Efektivna izsevana moč – ERP + +$$ P_\text{ERP} = G \cdot P $$ + +**Primer**: +Imamo oddajnik z močjo 25 W, anteno z ojačenjem 12 dBd in napajalni kabel, v katerem imamo 2 dB izgub. Iz navedenega je razvidno, da je skupno ojačenje antenskega sistema 10 dB oziroma 10-krat. + +$$ P_\text{ERP} = 10 \cdot 25 \ \mathrm{W} = 250 \ \mathrm{W} $$ + +"Ob uporabi dipola bi za isto efektivno moč potrebovali 250 W oddajnik." + +$ P_\text{EIRP}(\mathrm{W}) = 1,64 \cdot P_\text{ERP}(\mathrm{W}) $ +$ P_\text{EIRP}(\mathrm{dB}) = P_\text{ERP}(\mathrm{dB}) + 2,15 $ + +---- + +### Praktične oblike anten + +---- + +### Polvalni dipol + +
+
+ +Še enkrat: + +$$ l(\mathrm{m}) = \frac{150}{f(\mathrm{MHz})} \cdot k $$ + +Na seva na vse strani enako + +Ločimo: +- horizontalni dipol +- vertikalni dipol +
+ + +
+ +Če nimamo prostora lahko zavijemo konce proti tlem, to vpliva na sevalni diagram, rezonanco in impedanco antene. + + + +Idealno postavljen **vsaj ½ "𝜆" od tal**, če ni, se popači sevalni diagram. + +
+
+ +Vertikalni sevalni diagram +vertikalnega dipola + +a) v praznem prostoru +b) blizu tal +
+
+ +Horizontalni dipol + + + +
+
+ +---- + +### Obrnjeni V – Inverted V + +
+
+ +**Varianta dipola** (malenkost daljša, 5%) + +- Potrebuje le eno visoko točko +- Okoli 90° (60 - 120°) +- Konci vsaj 3 m od tal (zaradi varnosti mimoidočih) + +Oglašujemo jo s: + +- spreminjanjem **dolžine žice** in +- spreminjanjem **naklona** + +Možno napajanje večih anten različnih dolžin. +
+ +
+ + +
+
+ +---- + +### Zaprt (zavit) polvalni dipol + +
+
+ +Uporablja predvsem na UKV področju (tudi KV). +Tudi varianta dipola – bolj **širokopasoven**. + +Impedanca je okoli 300 Ω, to pomeni, da anteno napajamo z: + +- 300 Ω odprtim vodom ali pa +- 50 Ω koaksialnim vodom z 6:1 (balunom) +
+ + +
+ +---- + +### Dipol antene za delo na več frekvenčnih pasovih
"Multiband dipoli" + +**Zepp antena**: polvalna antena, napajamo z odprtim vodom dolg $\frac14 \lambda$ +Ločimo: **Enojni** (a) in **dvojni** (b) Zepp + +**Windom antena** (c): polvalna antena, napajamo na $\frac13$ dolžine antene (impedanca 300 Ω ⇒ 6:1 balun in koaksialni vod) + +**Dvojna Windom antena**: dve anteni na istem balunu, pokrijemo več pasov +
+ +
+ + + +
+ + + +### "Trap" dipol + +
+
+ +V antenski žici imamo **vgrajena posebna vezja**/pasti ali "trape" + +Pasti so **vzporedni nihajni krogi** – pri resonanci **velika upornost** + +**W3DZZ** antena: z enim parom trapov pokrije več amaterskih pasov +To dosežemo s pravilnim razmerjem med L in C +
+ + +
+ +---- + +### Yagi–Uda antena + +
+
+ +Tipična predstavnica **usmerjenih** anten + +**Aktivni** element: **sevalec** +**Parazitni** elementi: **reflektor**, **direktorji** + + +
+ +
+ + +
+
+ + + +
+
+ +**Več direktorjev** → **ožji glavni snop** +Po določeni velikosti, ni smiselno povečevanje. + + +
+
+ +"Multiband" Yagi antena + +
+ +---- + +### Zančne (loop) antene + +
+
+ +**Quad** (4) in **Delta** (3) **Loop** + +Dva ali več kvadratov/trikotnikov + +Sevalec (dolg λ), reflektor (λ + 3-5%), direktorji (λ - 3-5%) + +Razmik približno 0,2 λ + +Nižji vertikalni kot sevanja na majhnih višinah +Manj občutljive na šum +Slabša odpornost na vreme + +KV – prevladujejo loop, UKV – yagi +
+ +
+ + +
+ +---- + +### Logaritmično – periodične dipol antene (LPDA)
"log-periodik" (LP) + +
+
+ +Najpogostejše za TV sprejemnike + +Pokrivajo **širok frekvenčni pas**, konstantno obnašanje + +Najdaljši in najkrajši določata zgornjo in spodnjo mejo frekvenčnega pasu + +Razmiki določajo ojačanje antene + +**Napaja na sprednjem delu** + +Predolgi – reflektorji, prekratki – direktorji +
+ +
+ + +
+ +---- + +### Long – wire antena (LW) + +
+
+ +Ko nimamo prostora za polvalni dipol ali usmerjeno anteno + +Žica postavljena čim višje, ne nujno v ravni liniji + +**Moramo** uporabljati **prilagoditveno vezje** (prilagodimo impedanco) + +Idealna dolžina je nekaj valovnih dolžin + +Na najnižji frekvenci mora biti dolga vsaj $\frac34 \lambda$ +
+ + +
+ +---- + +### Vertikalne antene + +
+
+ +Malo prostora, delo iz vozila, ročne postaje + +**Dobro narejena** in primerno **ozemljena**! + +Horizontalno seva v vse smeri enako ("omnidirekcionalna"), vertikalno precej usmerjena + +Polovica vertikalnega dipola ($\frac14 \lambda$), druga polovica je zemlja pod anteno + +Ozemljimo z **radiali** (na ali pod zemljo) 0,2 - 0,5 λ +
+ + +
+ + + +
+
+ +Na KV pogosto dodamo "trape" + +$\frac14 \lambda$ najbolj razširjena, +**AMPAK** optimalni kot sevanja dosežemo z **$\bf{\frac58 \lambda}$** + +Problemi: **ni napajalnih vodov** s pravilno impedanco in antena **ni resonančna** (kapacitivna) + +Pomagamo si s tuljavo pri vznožju + +Oddaja: odlična +Sprejem: **več šuma** kot horizontalne +
+ + +
+ + + +#### Ground plane – GP antene + +Vertikalna antena postavljena visoko nad zemljo – potrebujemo "**umetno zemljo**" ali "ground plane" + +Radiali – žica (KV) ali aluminjaste cevi + +
+ + + +
+ +---- + +### Parabolična antena + +
+
+ +Predvsem na UHF in SHF + +Zakaj? Na 144MHz je premer reflektorja okoli 15m + +Reflektor – "**parabolično zrcalo**" +**Sevalec** – **v gorišču** + +Sevalci različnih oblik – z menjavo, različni frekvenčni pasovi + +**VELIKO ojačanje** in **ozek kot sevanja** + +Satelitske in EME (lahko tudi tropo) zveze +
+ + +
+ +---- + +### Umetna antena + +
+
+ +**Ne seva** energije v prostor + +Upori primerne moči + +Predstavljajo popolnoma prilagojeno breme + +**Uglaševanje in testiranje** oddajnikov +
+ + +
+ +---- + +### Postavljanje anten + +
+ +**VARNOST!!** +
+ +
+ + +
+ +---- + +## Napajanje anten + +---- + +### Antenski / napajalni vod + +Poveže anteno in oddajnik + +Največji prenos moči: končna stopnja oddajnika in antena **impedančno prilagojena** + +Dober vod: +- **ne sme sevati** +- **energija** pri prenosu **se ne sme izgubiti** +- mora imeti **konstantne električne karakteristike** +- mora biti odporen na **vreme** + +---- + +### Vrste antenskih vodov + +Dve glavni vrsti: **dvožilni** in **koaksialni** vod + +
+ + + +
+ +
+ + + +
+ + + +**Valovod** (Waveguide) – cev ustreznega preseka (za mikrovalovno področje) + + + +---- + +### Karakteristična impedanca voda (Z) + +Razmerje napetosti U in toka I na neskončno dolgem vodniku + +Impedanca (zračni izolator): +
+
+ +$$ Z = \sqrt{ \frac{L}{C} } $$ +
+ +
+ +$L$ – "debelina vodnika" +$C$ – "medsebojna razdalja" +
+
+ + + + + +
+
+ +Dvožilni antenski vod + + +$$ Z(\Omega) = \frac{120}{ \sqrt{\varepsilon_r} } \cdot \ln \frac{2 \cdot D(\mathrm{mm})}{d(\mathrm{mm})} $$ +
+
+ +Koaksialni vod + + +$$ Z(\Omega) = \frac{60}{ \sqrt{\varepsilon_r} } \cdot \ln \frac{D(\mathrm{mm})}{d(\mathrm{mm})} $$ +
+
+ +---- + +### Vpliv dielektrika + +
+
+ +Hitrost širjenja valovanja v snovi: + +$$ v = \frac{c}{\sqrt{\varepsilon_r}} $$ + +$v$ – hitrost v snovi ($\frac{\mathrm{km}}{\mathrm{s}}$) +$c$ – hitrost svetlobe (300000 $\frac{\mathrm{km}}{\mathrm{s}}$) +$\varepsilon_r$ – relativna dielektrična konstanta +
+
+ +Skrajševalni faktor koaksialnega voda: + +$$ V = \frac{v}{c} = \frac{1}{\sqrt{\varepsilon_r}} $$ + +
Bipolarni tranzistor (BJT)Unipolarni tranzistor (FET)
"prižgemo" s tokom"prižgemo" s napetostjo
PočasenHiter
EnosmerniObojesmerni
+ + + + + + + + + + + + +
Snov$\varepsilon_r$
Zrak1,0
Teflon2,0
Polietilen2,3
Pleksi steklo3,0 … 3,6
Polivinil (PVC)3,1 … 3,5
Epoksi smola3,5
Porcelan6,5
+ + + + + + + + + + + + + +
Tip koaksialnega kabla$V$
RG580,66
RG0,66
RG0,66
RG0,71
RG0,72
H1550,81
H5000,81
+
+
+ +---- + +### Izgube v napajalnih vodih + +**Izgube** zaradi ohmske **upornosti žice** (skin efekt), **izgube v dielektriku** in **sevanja voda** + + + +---- + +### Porazdelitev toka in napetosti vzdolž voda
Stojno valovanje + +
+
+ +Prilagojeno breme +R = Z + +
+
+ +Odprt vod +R = ∞ + +
+
+ +Kratko slenjen vod +R = 0 + +
+
+ + + +Del VF energije se potroši na bremenu, preostali del se vrne + +
+
+ +R > Z + +
+
+ +R < Z + +
+
+ + + +### Razmerje stojnega valovanja (SWR) + +"Standing wave ratio" + +$$ \text{SWR} = \frac{U_\text{max}}{U_\text{min}} $$ + +
+
+ +Merimo s **SWR metrom** + +Slab SWR povzroči: +- Izgube / gretje / poškodbe na antenskem vodu +- Manjša izsevana moč +- **Poškodba končne stopnje** na oddajniku! + +Dopustna meja: SWR = 3 (25% moči) +
+
+ + + + + + + + + + + + + + + + + + +
SWR% Izgube moči
1,00,0 %
1,20,8 %
1,42,7 %
1,65,0 %
1,88,0 %
2,011,0 %
2,214,0 %
2,417,0 %
3,025,0 %
6,055,0 %
10,070,0 %
+ +---- + +### Elementi za prilagoditev in transformacijo + +**Gama**: s kratkostično objemalko in spremenljivim kondenzatorjem prilagajamo SWR + +**Delta**: priključne žice na sredino dipola, sredino lahko ozemljimo + +**Hairpin**: Lažje kot gama, ampak mora sevalec biti prekinjen in v primeru koaksa potreben člen za simetriranje (balun) + +
+
+ +Gama + +
+
+ +Delta + +
+
+ +Hairpin + +
+
+ + + +### Transformatorji impedance + +
+
+ + + +**Četrtvalni transformator** impedance + +$Z_v$ – vhodna impedanca +$Z_i$ – izhodna impedanca +
+
+ + + +**Polvalna zanka** + +Transformira impedanco 4:1 +Omogoča simetriranje +
+
+ +
+Upoštevamo skrajševalni faktor voda! +
+ + + +### Transformatorji za simetriranje + +Polvalni dipol (simetrični) -?- koaksialni vod (nesimetrični) + +Balun (**bal**anced-**un**balanced) – prehod, simetrično na nesimetrično + +
+
+ +**Polvalna zanka** + +
+
+ +**Bazooka** simetrirni člen + +
+
+ +Trifilarno navitje + +
+
+ + + +
+
+ +1:1 Balun + +
+
+ +4:1 Balun + +
+
+ +1:1 Balun + +
+
+ +In še mnogo več … + +---- + +### Antenski tunerji + +
+
+ +Anteno prilagodi na impedanco oddajnika + +Tuner **NE naredi antene rezonančne** + + +
+ + +
+ +---- + +### Napajalni vod kot element za uglaševanje + +
+
+
+ +
+
+ +
+
diff --git a/8_motnje_meritve.md b/8_motnje_meritve.md new file mode 100644 index 0000000..47f287f --- /dev/null +++ b/8_motnje_meritve.md @@ -0,0 +1,404 @@ +--- +layout: cover +--- + +# Motnje + +---- + +### Vzroki za nastanek in ukrepi za preprečevanje + +**Antene** +Napajanje z oklopljenim antenskim vodom → manj sevanja v okolico + +**Priključek na električno omrežje** +Motnje iz električnega omrežja lahko odpravimo z vgradnjo filtrov in dušilk + +**Parazitne oscilacije** (višji harmoniki) +Da zmanjšamo pojav, pazimo na pravilno gradnjo oddajnikov, ojačevalnikov in anten + +**Motnje zaradi intermodulacijskih popačenj** +Premočni signali → sprejemnik pride v nelinearno območje + +**Preprečevanje motenj** +Oklapljanje in blokiranje vseh delov naprav, ki generirajo neželeno VF energijo + +---- + +### Vrste motenj + +**Radijske motnje** (RFI – Radio Frequency Interference): +radioamaterska postaja lahko vzrok ali žrtev +Radijski šum je posledica iskrenja, razelektritev, delovanja elektičnih strojev, … + +  + +**Televizijske motnje** (TVI – Television Interference): +preobremenitev sprejemnika, ko je oddajna antena preblizu televizijski anteni + +  + +**Druge vrste motenj** +Motnje zaradi predolgih (audio/video) kablov (delujejo kot antene) + +---- + +## Meritve + +---- + +### Napake pri meritvah + +Merilni napaki pravimo tudi pogrešek + +**Netočnost inštrumenta**: +Zaradi težavnosti odčitavanja, občutljivosti inštrumenta, merilnij pogojev, vgrajenih elementov in ostalega … + +**Vpliv frekvence**: +Pri izmeničnih veličinah lahko frekvenca vpliva na meritev toka ali napetosti. Vsi inštrumenti so frekvenčno omejeni in lahko merijo signale do neke maksimalne frekvence. + +**Vpliv notranje upornosti inštrumentov**: +Notranja upornost voltmetra/ampermetra vpliva na meritev napetosti/toka. + +**Vpliv oblike merjene napetosti**: +Tudi oblika napetosti vpliva na meritev veličin, ponavadi imamo inštrumente, ki merijo sinusno napetost oz. tok + +---- + +### Merjenje napetosti + +
+
+ +**Voltmeter** priključimo **vzporedno** z bremenom + +Upornost voltmetra podajamo v omih na volt (**Ω/V**), +**želimo večjo notranjo upornost** (digitalni voltmetri), +s tem manj vpliva na rezultat meritve + +  + +$$ U_v = U \cdot \frac{R_N}{R_1 + R_N} \qquad R_N = \frac{R_B \cdot R_V}{R_B + R_V} $$ + +$U_v$ – izmerjena napetost +$R_N$ – nadomestna upornost ($R_B$, $R_V$) +
+ +
+ + +
+
+ +---- + +### Merjenje toka + +
+
+ +**Ampermeter** priključimo **zaporedno** bremenu + +**Želimo čim nižjo notranjo upornost** + +$$ I = \frac{U}{R_A + R_B} $$ + +$R_A$ – upornost ampermetra +
+ +
+ + +
+
+ +---- + +### Merjenje upornosti + +$$ R = \frac{U}{I} $$ + +
+
+ +Posredno merjenje upornosti + +
+
+ +Merjenje upornosti z **ohmmetrom** + +
+
+ +---- + +### Merjenje moči + +
+
+ +$$ P = U \cdot I \qquad P = U \cdot I \cdot \cos(\varphi) $$ + +Če želimo prave podatke o moči, +moramo pravilno obremeniti izhod (50 Ω) + +Želimo φ čim bližje 0° +
+ +
+ +Posredno merjenje moči + +
+
+ +---- + +### Merjenje stojnega valovanja + +Uporabimo **reflektometer** oz. SWR meter + +$$ \text{SWR} = \frac{U_\text{max}}{U_\text{min}} $$ + +
+
+ +SWR: 1,0 + +
+
+ +SWR: > 1,0 + +
+
+ +---- + +### Merjenje oblike VF signala + +Uporabimo **osciloskop** + +
+ +Amplitudna modulacija + +
+ +---- + +### Merjenje frekvence + +Več možnosti: +- Štejemo število impulzov v določenem času $ f = \frac{N}{T} $ +- Uporabimo VF indikator + - Nihajni krog, ki ga nastavimo na določeno frekvenco +- Uporabimo Grid-Dip meter + - Meri frekvenco pasivnih nihajnih krogov, kondenatorjev, tuljav + +---- + +### Merilni inštrumenti + +#### Inštrument z vrtljivo tuljavico + +
+
+ +Tok skozi navitje povzroči zaskuk zaradi magnetnega polja + +Proti magnetni sili deluje sila vzmeti + +Lahko teče le majhen tok (50 μA) +
+ + +
+ + + +Da zmanjšamo tok / napetost skozi tuljavico, vežemo dodatni soupor / predupor odvisno od maksimalne vrednosti, ki jo želimo meriti + +
+
+ +Soupor + +
+
+ +Predupor + +
+
+ +Merjenje upornosti + +
+
+ +---- + +### Multimeter + +
+
+ +Multimeter – merilnik, ki meri več različnih veličin + +AVO meter – Amper Volt Ohm meter +
+ + +
+ + + +
+
+ +Analogni multimeter + +
+
+ +Digitalni multimeter + +
+
+ +---- + +### Reflektometer + +
+
+ +Merilec odbitih (reflektiranih) valov + +Odbojnost lažje izmerimo kot impedanco bremena + +Vrednosti od 0 (popolnoma prilagojeno) do 1 (popolnoma neprilagojeno) + +$$ \Gamma = \frac{Z - Z_0}{Z + Z_0} $$ + +$Z$ – impedanca bremena +$Z_0$ – referenčna impedanca (50 Ω) +$\Gamma$ (Gama) – velikost odbojnosti +
+ + +
+ + + +#### SWR meter + +
+
+ +Valovitost (SWR) – razmerje stojnega vala + +Vrednosti od 1 (popolnoma prilagojeno) do ∞ (popolnoma neprilagojeno) + +$$ \text{SWR} = \frac{1 + \Gamma}{1 - \Gamma} $$ +
+ + +
+ +---- + +### Frekvenčni merilnik + +
+
+ +Števec frekvence + +
+
+ +Frekvenčni indikator + +
+
+ + + +#### GRID-DIP meter + +
+
+ +Merimo: +- **Resonančno frekvenco** nihajnega kroga +- **Kapacitivnost** kondenzatorja +- **Induktivnost** tuljave +
+ + +
+ +---- + +### Osciloskop + +
+ + +
+ + + +
+ +
+ + +$$ f = \frac{1}{T} = \frac{1}{1000\ \mathrm{s}} = 1000\ \mathrm{Hz} $$ +
+
+ +---- + +## Varstvo pri delu + +Nevarnost pri delu z električnim tokom: izogibajmo se napetostim, višjim od 50 V, ki so že lahko nevarne! + +Nevarnost VF energije: Nikoli se ne dotikajmo naprav v obratovanju! Pri +visokih oddajnih močeh lahko pride do opeklin kože. Opekline lahko zaznamo že pri 10 W. Pri 1500 W oddajniku se na priključnih sponkah antene pojavi napetost: + +$$ U = \sqrt{P \cdot R} = \sqrt{1500\ \mathrm{W} \cdot 50\ \Omega} = 273\ \mathrm{V} $$ + +Nikoli ne glejmo v usmerjene antene, saj so oči slabo prekrvavljene in lahko pride do trajnih posledic + + + +#### Nevarnost udara strele + +Dobra ozemljitev zmanjša verjetnost nastanka motenj + +
+ + +
+ + + +#### Primeri vprašanj + +Kaj naredimo z varovalko, ki je pregorela? + +a) Varovalko zamenjamo z novo, ki je predvidena za večji tok +b) Varovalko premostimo s kosom žičke +c) Varovalko zamenjamo z novo, ki je predvidena za isti tok + +  + +Pred odpiranjem usmernika, ki deluje pri napetosti 220 V, moramo: + +a) izključiti stikalo usmernika +b) iz usmernika odstraniti varovalko +c) dovodni 220 V omrežni kabel izključiti iz omrežja diff --git a/README.md b/README.md new file mode 100644 index 0000000..1622a1f --- /dev/null +++ b/README.md @@ -0,0 +1,11 @@ +# Welcome to [Slidev](https://github.com/slidevjs/slidev)! + +To start the slide show: + +- `npm install` +- `npm run dev` +- visit http://localhost:3030 + +Edit the [slides.md](./slides.md) to see the changes. + +Learn more about Slidev on [documentations](https://sli.dev/). diff --git a/favicon.ico b/favicon.ico new file mode 100644 index 0000000000000000000000000000000000000000..32546d27eddba3c0b4484ff176576de921d9567f GIT 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