Dabaru na Tsarin Tace Analog
A duniyar kayan lantarki, matatun analog suna taka muhimmiyar rawa wajen tsara, tsaftacewa, da kuma sarrafa siginar sigina kafin a ci gaba da sarrafawa. Duk da rinjayen zamanin dijital, matatun analog suna da mahimmanci a aikace-aikace da yawa - daga sauti da kayan aiki zuwa sadarwa zuwa tsarin sarrafawa - saboda suna aiki a ainihin lokaci ba tare da lattin sarrafa su ba kuma ana iya sanya su a ƙarshen gaba na da'ira don rage hayaniya tun daga farko. Wannan labarin ya tattauna dabarun ƙirar matatun analog masu amfani: daga ra'ayoyi na asali da zaɓin yanayin ƙasa zuwa matakan ƙira na gama gari.
1. Asalin Ma'anar Matatun Analog
Matatar analog da'ira ce da aka tsara don wucewar sigina a cikin takamaiman kewayon mita da kuma rage mitar da ke wajen wannan kewayon. Dangane da martanin mitar su, matatun analog sun kasu zuwa nau'ikan da dama:
1. Matatar mai ƙarancin wucewa (LPF): tana wuce ƙananan mitoci kuma tana rage yawan mitoci.
2. Matatar mai wucewa mai yawa (HPF): tana wucewa mai yawa kuma tana rage ƙarancin mitoci.
3. Matatar wucewa ta Band-pass (BPF): tana wucewa ta wani takamaiman mitar, tana rage gudu a ƙasa da sama da band.
4. Matatar tsayawa/tsayawa: tana ƙin wasu ƙananan madaukai (misali 50/60 Hz).
5. Matatar All-pass: girman da ya dace, amma canjin lokaci (yana da amfani don diyya ta lokaci).
Manyan sigogin tacewa sun haɗa da mitar yankewa (fc), riba, ripple (wavelets a cikin madaurin wucewa), rage madaurin tsayawa, da kuma tsarin tacewa (yana tantance gangaren juyawa). Gabaɗaya, mafi girman tsari, canjin yana da kaifi, amma da'irar ta fi rikitarwa.
2. Tantance Takamaiman Tsarin Zane
Kyawawan dabarun ƙira koyaushe suna farawa da takamaiman bayanai. Kafin zaɓar yanayin ƙira, ƙayyade:
– Passband: zangon mitar da dole ne a wuce, gami da haƙurin ripple.
– Madaurin Tsayawa: kewayon da za a rage, gami da maƙasudin ragewa (misali -40 dB).
– Mitar sauyawa: nisan da ke tsakanin iyakokin madaurin wucewa da iyakokin madaurin tsayawa. Mafi kankanta, haka nan ake buƙatar yin tsari mafi girma.
– Tushe da juriyar kaya: yana da mahimmanci ga matatun mai wucewa da kuma guje wa lodawa.
– Iyakokin sassan: samuwar ƙimar R, C, haƙuri, girma, farashi, da iyakokin op-amp (don matatun mai aiki).
Misali, don aikace-aikacen sauti, kuna iya buƙatar LPF mai ƙarfin 20 kHz fc, ƙaramin ripple, da ƙarancin murdiya. Don kayan aiki, kuna iya buƙatar notch na 50 Hz don kawar da hayaniyar lantarki ba tare da dagula babban siginar ba.
3. Zaɓar Kimanin Amsa: Butterworth, Chebyshev, Bessel
Ba zai yiwu a cimma cikakkiyar amsar matattara ba, don haka ana amfani da aikin kimantawa na yau da kullun:
– Butterworth: mafi girman fasfo mai faɗi. Ya dace da aikace-aikacen sauti da na gabaɗaya. Sauyin bai yi kaifi kamar Chebyshev ba a tsari ɗaya.
– Chebyshev: canjin da ya fi kaifi, amma yana da walƙiya a cikin na'urar wucewa (Chebyshev I) ko na'urar tsayawa (Chebyshev II). Ya dace lokacin da ake buƙatar zaɓi mai yawa.
– Bessel: kusan matakin layi da kuma kyakkyawan amsawar wucin gadi (ƙaramin overshoot). Ya dace da siginar bugun jini, kayan aiki, da wasu hana cirewa.
Zaɓin kimantawa sau da yawa ya dogara ne akan fifiko: girman lebur, zaɓi, ko layin layi.
4. Tsarin Tace da Tsarin Mataki (Cascading)
Tsarin tacewa yana ƙayyade gangaren juyawa: kowane tsari yana ƙara kusan 20 dB/shekaru goma (ko 6 dB/octave). Misali, matattarar tsari na biyu tana ƙara kusan 40 dB/shekaru goma. A aikace, galibi ana gina matattarar tsari mafi girma ta hanyar tattara matakai da yawa na farko ko na biyu (biquad). Wannan yana sauƙaƙa daidaitawa da zaɓar sassan.
Matakai na gaba ɗaya:
1. Kayyade mafi ƙarancin tsari na ƙayyadaddun ƙayyadaddun bayanai na ragewa da sauyawa.
2. Raba shi zuwa matakai da dama na tsari na 2 + idan ya cancanta mataki na 1 na tsari.
3. Saita sigogi ga kowane mataki (Q da ω0) bisa ga jadawalin ko sakamakon lissafi.
5. Matatun da ba su da aiki ko kuma masu wucewa
Matatar da ba ta aiki
Yana amfani da R, L, da C ba tare da na'urar ƙara sauti ba. Fa'idodi: ƙarancin hayaniya, babu buƙatar samar da wutar lantarki, zai iya aiki a manyan mitoci. Rashin amfani: babban inductor/tsada, lodi tsakanin matakai, da wahalar samun riba.
Ana amfani da shi sosai a cikin RF, daidaitawar impedance, ko aikace-aikacen wutar lantarki mai ƙarfi.
Matatar Aiki
Amfani da op-amp + R da C (babu inductor). Fa'idodi: ƙaramin girma, sauƙin sarrafa riba, babban shigarwa da ƙarancin juriyar fitarwa. Rashin amfani: ƙarancin bandwidth na op-amp, hayaniyar op-amp, da yuwuwar cikawa.
Ga siginar sauti da ƙananan-tsakiya, matattara masu aiki galibi su ne zaɓi na farko.
6. Tsarin Matatar Mai Aiki Na Yau Da Kullum
Wasu daga cikin shahararrun topology:
1. Sallen-Key (VCVS)
Mai sauƙin ƙira, ƙananan sassa kaɗan, sun dace da LPF/HPF na biyu. Q yana shafar riba da rabon sassan. Sau da yawa ana amfani da shi a cikin sauti.
2. Ra'ayoyi da yawa (MFB)
Ya dace da LPF/BPF tare da babban Q. Ya fi kwanciyar hankali ga babban Q fiye da Sallen-Key, amma lissafin sassan yana da ɗan rikitarwa.
3. Yanayin Canji / Jawo-Thomas
Yana samar da fitarwar LPF, HPF, da BPF a lokaci guda. Yana daidaita mitar Q da resonance cikin sauƙi. Ya dace da matattara masu iya gyarawa.
4. Biquad (na gama gari)
Kalma ta gaba ɗaya don toshe na biyu. Ana gina matatun mai girma da yawa daga biquads.
Zaɓin yanayin yanayin yana da tasiri ta hanyar buƙatun Q, sauƙin daidaitawa, sauƙin haƙuri, da halayen op-amp.
7. Dabaru na Zane Mai Amfani (Tsarin Aiki)
Ga tsarin aiki mai zuwa wanda ake amfani da shi sosai wajen tsara matatun analog:
1. Kayyade takamaiman bayanai: nau'in matattara, fc/fo, ripple, ragewa, tsari.
2. Zaɓi kimantawa: Butterworth/Chebyshev/Bessel.
3. Samu sigogin mataki: ω0 da Q ga kowane biquad (daga tebura, software, ko dabara).
4. Zaɓi yanayin yanayi don kowane mataki: Sallen-Key don matsakaiciyar Q, MFB don babban Q, canjin yanayi don daidaitawa.
5. Lissafa ƙimar kayan aiki: fara tantance daidaitaccen C (misali 10 nF, 100 nF) sannan a lissafta R don sauƙaƙe daidaito.
6. Kwaikwayo: yi amfani da SPICE don ganin girma da martanin mataki, haka kuma duba jikewar op-amp da hayaniya.
7. Yi la'akari da haƙuri: R 1% da C 5% na iya canza fc da Q. Don aikace-aikacen daidaito, yi amfani da haƙurin C 2% ko yankewa.
8. Tsarin PCB: rage dogayen hanyoyi, raba filayen analog, guje wa haɗawa, kuma sanya capacitors kusa da op-amp.
9. Gwajin samfuri: auna amsawar mita (shafawa), duba karkacewar sauti (THD don sauti), da kuma tabbatar da bambancin zafin jiki.
8. Abubuwan da ba su da kyau waɗanda galibi ake watsi da su
Matatun analog na gaske suna shafar:
– Op-amp bandwidth (GBW): ga babban Q da babban mitoci, op-amp dole ne ya sami GBW sama da mitocin aiki.
– Saurin raguwa: manyan siginar girma a manyan mitoci na iya haifar da karkacewa.
- Hayaniya: Masu juriya da masu amsawa suna ƙara hayaniya. A cikin kayan aiki, inganta ƙimar juriya kuma zaɓi amps masu ƙarancin hayaniya.
- Juriyar sassan: Q yana da matuƙar tasiri; ƙirar "mai ƙarfi" tana guje wa matsanancin Q idan ba lallai ba ne.
- Lodawa tsakanin matakai: tabbatar da buffer ko amfani da topology wanda ke rage hulɗa.
Ta hanyar la'akari da abubuwan da ba su dace ba tun daga farko, sakamakon ƙarshe zai fi dacewa da tsammanin lokacin da aka cimma shi.
9. Misalan Aikace-aikace
– Haɗakar sauti: yana amfani da LPF da HPF na tsari na 2-4 don raba mitoci zuwa tweeter da woofer.
– Hana yin amfani da na'urar hana ...
– Nauyin 50/60 Hz: don kawar da hum akan siginar ECG/EEG ko firikwensin masana'antu.
- RF-end-end: kunkuntar band-pass don zaɓar takamaiman tashar.
Kammalawa
Dabaru na ƙirar matattarar analog sun haɗa da zaɓin takamaiman bayanai, kimantawa na amsawa (Butterworth, Chebyshev, Bessel), ƙayyade tsari, zaɓin yanayin ƙasa (Sallen-Key, MFB, canjin yanayi), da kuma kimanta abubuwan da ba su dace ba kamar jurewar sassan da iyakokin op-amp. Tare da kwararar ƙira mai tsari da kyakkyawan kwaikwayon, ana iya yin matattarar analog daidai, karko, kuma bisa ga buƙatun aikace-aikace - ko don sauti, kayan aiki, ko sadarwa.
Idan kuna so, zan iya taimaka muku ƙirƙirar cikakken misalin lissafi (misali, 4th-order Butterworth LPF tare da Sallen-Key topology) tare da ƙimar RC da sakamakon kwaikwayo na ka'ida.
