Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf ·...

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Curs 8 2014/2015

Transcript of Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf ·...

Page 1: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

Curs 82014/2015

Page 2: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus
Page 3: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus
Page 4: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

Caracterizare cu parametri S Normalizati la Z0 (implicit 50Ω) Cataloage: parametri S pentru anumite

polarizari

Page 5: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus
Page 6: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

Diagrama Smith |Γ|<1

Diagrama Polara|a+j·b|>1

Page 7: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

Fisiere format Touchstone (*.s2p)! SIEMENS Small Signal Semiconductors! VDS = 3.5 V ID = 15 mA# GHz S MA R 50! f S11 S21 S12 S22! GHz MAG ANG MAG ANG MAG ANG MAG ANG1.000 0.9800 -18.0 2.230 157.0 0.0240 74.0 0.6900 -15.02.000 0.9500 -39.0 2.220 136.0 0.0450 57.0 0.6600 -30.03.000 0.8900 -64.0 2.210 110.0 0.0680 40.0 0.6100 -45.04.000 0.8200 -89.0 2.230 86.0 0.0850 23.0 0.5600 -62.05.000 0.7400 -115.0 2.190 61.0 0.0990 7.0 0.4900 -80.06.000 0.6500 -142.0 2.110 36.0 0.1070 -10.0 0.4100 -98.0! ! f Fmin Gammaopt rn/50! GHz dB MAG ANG -2.000 1.00 0.72 27 0.844.000 1.40 0.64 61 0.58

Page 8: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

[S]

Page 9: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

L

Lin

S

SSS

22

211211

1

S

Sout

S

SSS

11

211222

1

Page 10: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

Puteri

2

2

2

0

2

11

1

8in

inS

SSin

Z

VP

2

2

2

22

22

21

0

2

1

1

1

1

8inS

S

L

LSL

S

S

Z

VP

Puterea disponibila de la sursa

2

2

0

2

1

1

8*

S

SSinSav

Z

VPP

Sin

Puterea disponibila la sarcina

22

11

22

21

0

2

11

1

8*

outS

SSLLav

S

S

Z

VPP

outL

Page 11: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

Castigul de putere

2

22

2

22

21

11

1

Lin

L

in

L

S

S

P

PG

Castigul introdus efectiv de amplificator estemai putin important deoarece un castig maimare poate fi insotit de o scadere a puterii de intrare (absorbita efectiv de la sursa)

Se prefera caracterizarea efectuluiamplificatorului prin analiza puterii efectivobtinuta pe sarcina in raport cu putereadisponibila de la sursa (constanta)

SPP LinSinin ,,

SPP LinSLL ,,

Page 12: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

Castigul de putere disponibil 22

22

22

21

11

1

outL

S

Sav

Lav

A

S

S

P

PG

Castigul de putere de transfer (transducer power gain)

2

22

2

222

21

11

11

LinS

LS

Sav

LT

S

S

P

PG

Castigul de putere de transfer unilateral

2

22

2

2

11

22

211

1

1

1

L

L

S

STU

SSSG

012 S

Permite tratarea separataa intrarii si iesirii

Linin

11Sin

Page 13: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

Stabilitatea amplificatoarelor de microunde

Page 14: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

C6

L

Lin

S

SSS

V

V

22

211211

1

1

1S

Sout

S

SSS

V

V

11

211222

2

2

1

0

0

ZZ

ZZ

in

inin

ir j 22

22

1

1

ir

irLr

irin j

010Re 22 irinZ

instabilitate1in

Page 15: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

Amplificator stabil

1in 1out

11 22

211211

L

L

S

SSS 1

1 11

211222

S

S

S

SSS

Page 16: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

Obtinem conditiile ce trebuie indeplinite de ΓL pentru a obtine stabilitatea

1in1

1 22

211211

L

L

S

SSS

1out 11 11

211222

S

S

S

SSS

Obtinem conditiile ce trebuie indeplinite de ΓS pentru a obtine stabilitatea

Page 17: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

Determinantul matricii S

1in1

1 22

211211

L

L

S

SSS

LLL SSSSS 2221122211 11

21122211 SSSS

LL SS 2211 1

Limita de stabilitate/instabilitate

1in1

1 22

211211

L

L

S

SSS

2

22

2

11 1 LL SS

Page 18: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

2

22

2

11 1 LL SS

LLLLLL SSSSSS 22**

22

22

2211***

11

222

11 1

2* aeaeaaa jj

**22***2babababababababa

12

11*

11**

22*1122

*22

22 SSSSSS LLLL

22

22

2

11

22

22

*11

**22

*1122* 1

S

S

S

SSSS LLLL

222

22

2*1122

S

SS

222

22

2*1122

22

22

2

11

2

22

22

**1122

1

S

SS

S

S

S

SSL

Page 19: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

Re Γ

+1

+1

-1

-1

x0

y0

R

220

20 Ryyxx

Im Γ 22

22

2112

22

22

**1122

S

SS

S

SSL

R 0

Γ0R 0

Page 20: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

Ecuatia unui cerc, care reprezinta loculgeometric al punctelor ΓL pentru limita de stabilitate

Cercul se numeste cerc de stabilitate la iesire (ΓL)

22

22

2112

22

22

**1122

S

SS

S

SSL

22

22

**1122

S

SSCL 22

22

2112

S

SSRL

LLL RC

Page 21: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

Similar

Ecuatia unui cerc, care reprezinta loculgeometric al punctelor ΓS pentru limita de stabilitate

Cercul se numeste cerc de stabilitate la intrare (ΓS)

1out

11 11

211222

S

S

S

SSS

22

11

**2211

S

SSCS 22

11

2112

S

SSRS

Page 22: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

Cercul de stabilitate la iesire reprezinta loculgeometric al punctelor ΓL pentru limita de stabilitate (|Γin|=1)

Cercul imparte planul complex in douasuprafete, interiorul si exteriorul cercului

Cele doua suprafete vor reprezenta zonele ΓL

de stabilitate (|Γin|<1) / instabilitate (|Γin|>1)

Page 23: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

Doua cazuri: (a) exterior stabil / (b) interior stabil

Page 24: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

Identificarea zonelor de stabilitate / instabilitate Centrul diagramei Smith: in coordonate polare

corespunde lui ΓL = 0

Coeficientul de reflexie la intrare

Decizia se poate lua in functie de valoarea pe care o are |S11| si de pozitia centrului diagramei Smith fata de cercul de stabilitate

L

Lin

S

SSS

22

211211

1110

SL

in 110

SL

in

Page 25: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

Cerc de stabilitate la iesire

|S11| < 1 centrul diagramei pe care se reprezinta ΓL

este punct stabil, se gaseste in zona stabila (cel mai des)

|S11| > 1 centrul diagramei pe care se reprezinta ΓL

este punct instabil, se gaseste in zona instabila

Cerc de stabilitate la intrare

|S22| < 1 centrul diagramei pe care se reprezinta ΓS

este punct stabil, se gaseste in zona stabila (cel mai des)

|S22| > 1 centrul diagramei pe care se reprezinta ΓS

este punct instabil, se gaseste in zona instabila

Page 26: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

ATF-34143 at Vds=3V Id=20mA. @5GHz

S11 = 0.64139°

S12 = 0.119-21°

S21 = 3.165 16°

S22 = 0.22 146°

Page 27: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

Parametri S

S11 = -0.483+0.42·j

S12 = 0.111-0.043·j

S21 = 3.042+0.872·j

S22 = -0.182+0.123·j

| S11 | < 1 | S22 | < 1 |CL| < RL 0CSOUT |CS| > RS 0CSIN

j

S

SSCL

897.0931.3

22

22

**1122

891.422

22

2112

S

SSRL

032.4LC

j

S

SSCS

265.1871.1

22

11

**2211

325.122

11

2112

S

SSRS

259.2SC

Page 28: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus
Page 29: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

Variatii foarte mari ->logaritmic

Page 30: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

log10|Γin|, log10|Γout|

Page 31: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

|Γ| = 1 log10|Γ| = 0, intersectia = cerc

Page 32: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

log10|Γin| = 0, ΓL, CSOUTlog10|Γin| = 0,|Γin| = 1

Page 33: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

log10|Γout| = 0, ΓS, CSINlog10|Γout| = 0,|Γout| = 1

Page 34: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus
Page 35: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

Stabil

Instabil NeconditionatStabil

DSDS

CS CS

Page 36: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

Stabil

Instabil

NeconditionatStabil

DS

CS

DS

CS

Page 37: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

Stabil

Instabil

DS

CS Stabil

Instabil

DS

CS

Page 38: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

Stabilitatea necondiţionată: circuitul este necondiţionat stabil dacă |Γin|<1 şi |Γout|<1pentru orice impedanţă pasivă a sarcinii şisursei

Stabilitatea condiţionată: circuitul este condiţionat stabil dacă |Γin|<1 şi |Γout|<1 doarpentru un anumit interval de valori pentruimpedanţa pasivă a sarcinii şi sursei

Page 39: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

Stabilitatea neconditionata se obtine daca: Cercul de stabilitate este disjunct cu diagrama Smith

(exterior) si zona stabila e exteriorul cercului

Cercul de stabilitate contine in intregime diagramaSmith si zona stabila e interiorul cercului

O conditie obligatorie pentru obtinereastabilitatii neconditionate este |S11| < 1 (CSOUT) sau |S22| < 1 (CSIN)

Matematic:

1

1

11S

RC LL

1

1

22S

RC SS

Page 40: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

Utile pentru analiza de banda larga Stabilitatea nu e suficient sa fie apreciata

doar la frecventele de lucru

e necesar sa avem stabilitate pentru ΓL si ΓS alesela orice frecventa

Page 41: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus
Page 42: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

Diportul este neconditionat stabil daca: Sunt indeplinite simultan conditiile K > 1

|Δ| < 1 Sunt valabile si conditiile implicite |S11| < 1

|S22| < 1

21122211 SSSS

2112

22

22

2

11

2

1

SS

SSK

12

1

2112

22

22

2

11

SS

SSK 121122211 SSSS

Page 43: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

Conditia Rollet depinde de doi parametri, K si Δ, si nu poate fi utilizata pentru comparareastabilitatii a doua scheme

11

21121122

2

11

SSSS

S

Diportul este neconditionat stabil daca: μ > 1

Sunt valabile si conditiile implicite |S11| < 1 |S22| < 1

In plus se poate spune ca daca μ creste se obtine stabilitatemai buna

Page 44: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

ATF-34143 at Vds=3V Id=20mA. @0.510GHz

Page 45: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

ATF-34143 at Vds=3V Id=20mA. @0.510GHz Neconditionat

Stabil

ConditionatStabil

Page 46: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

ATF-34143 at Vds=3V Id=20mA. @0.510GHz Neconditionat stabil pentru f > 6.31GHz

Page 47: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

Stabilitatea neconditionata pentru un interval larg de frecvente are avantaje importante Ex: pot proiecta cu ATF 34143 un amplificator stabil

(conditionat) la 5GHz, dar acest lucru este inutil dacaapar oscilatii la 500MHz (μ≈0.1)

Minimul necesar in conditii de lucru cu stabilitateconditionata este sa se verifice stabilitatea la frecvente inafara benzii

Stabilitatea neconditionata poate fi fortata prinintroducerea de elemente rezistive in serie/paralel la intrare si/sau iesire

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RsminRsmin

85.150037.0minsR

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Rpmax

Gpmin

min

max

1

p

pG

R

367.4502.0226.0026.0

1

j

j

6.99502.0

50maxpR

Page 51: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus
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Procedura se poate aplica similar la iesire(plecand de la CSOUT)

Din exemplele anterioare, incarcarea rezistivala intrare are efect pozitiv si asupra stabilitatiila iesire si viceversa (incarcare la iesire efectasupra stabilitatii la intrare)

Rsmin Rpmax

Page 53: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

Efect negativ asupra castigului trebuie urmarit MAG/MSG in timpul proiectarii

Efect negativ asupra zgomotului (va urma) Se poate alege una din cele 4 variante care ofera

performante mai bune (in functie de aplicatie) Se pot realiza cu elemente de pasivizare selective in

frecventa Ex: Circuite RL, RC sacrifica performanta doar unde este

necesar sa se imbunatateasca stabilitatea fara afectareafrecventelor la care dispozitivul e deja stabil

E posibil ca aceste efecte sa apara automat ca urmarea elementelor parazite ale circuitelor de polarizare(capacitati de decuplare, socuri de radiofrecventa)

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Rs = 2Ω K = 1.008, MAG = 13.694dB @ 5GHz

fara stabilizare K = 0.886, MAG = 14.248dB @ 5GHz

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Rp = 90Ω K = 1.013, MAG = 13.561dB @ 5GHz

fara stabilizare K = 0.886, MAG = 14.248dB @ 5GHz

Page 56: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

Castigul amplificatoarelor de microunde

Page 57: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

Castig maxim de putere se obtine cand

Pentru retele de adaptare fara pierderi

Pentru tranzistor bilateral (S12 ≠ 0) Γin si Γout se influenteaza reciproc deci adaptarea trebuie safie simultana

*Sin *

Lout

2

22

2

222

21max

11

11

LinS

LST

S

SG

2

22

22

212max1

1

1

1

L

L

S

TS

SG

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Aflam ΓS

L

Lin

S

SSS

22

211211

1 S

Sout

S

SSS

11

211222

1

L

LS

S

SSS

22

211211

*

1 S

SL

S

SSS

11

211222

*

1

*22

*

*21

*12*

111 S

SSS

L

S

S

SL

S

S

11

22*

1

*21

*12

2

22*22

*1111

*22

22

221 SSSSSSSS SSS

22*21

*12

2

22*11 1 SSSSS

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Ecuatie de gradul 2

Similar

Cu variabilele

2*21

*12

*22

*11 SSSS

01 22**

11

2

22

2

11

2*2211

2 SSSSSS SS

1

2

1211

2

4

C

CBBS

2

2

2222

2

4

C

CBBL

*22111

22

22

2

111 1

SSC

SSB

*11222

22

11

2

222 1

SSC

SSB

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Este posibila daca

042

121 CB 04

2

222 CB

2*21

*12

*22

*11 SSSS

22

11

2

22

2

21

2

12

2*2211

2

1 1 SSSSSSC

222

22

22

11

2

121 14 SSCB

22

22

2

22

2

2112

22

22

2

11 14412 SSSSSS

222

22

22

11

2

121 14 SSCB

2

2112

22

22

2

11

22

22

2

11 41244 SSSSSS

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Similar

2

2112

22

22

2

11

222

22

22

11

2

121 41214 SSSSSSCB

2

2112

222

22

2

11

2

121 414 SSSSCB

2

2112

2

2112

2

121 424 SSSSKCB

144 22

21

2

12

2

121 KSSCB

144 22

21

2

12

2

222 KSSCB

222

22

22

11

2

121 14 SSCB

2

2112

22

22

2

11

22

22

2

11 41244 SSSSSS

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Necesar pentru solutii

1

2

1211

2

4

C

CBBS

2

2

2222

2

4

C

CBBL

1S 1L

121122211 SSSS

0

0

2

1

B

B

12

1

2112

22

22

2

11

SS

SSK

0144

0144

22

21

2

12

2

222

22

21

2

12

2

121

KSSCB

KSSCB

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Adaptarea simultana se poate realiza numaipentru amplificatoarele neconditionatstabile la frecventa de lucru, si solutia cu |Γ|<1 se obtine cu semnul –

1

2

1211

2

4

C

CBBS

2

2

2222

2

4

C

CBBL

*22111

22

22

2

111 1

SSC

SSB

*11222

22

11

2

222 1

SSC

SSB

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In conditiile adaptarii simultane se obtinecastigul de transfer maxim pentrutranzistorul bilateral

Daca dispozitivul nu este neconditionat stabilse poate folosi ca o indicatie a capacitatii de amplificare castigul maxim stabil (Maximum Stable Gain)

12

12

21max KK

S

SGT

12

21

S

SGMSG

Page 65: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

Daca amplificatorul/tranzistorul esteunilateral (S12 = 0) adaptarea simultanaimplica:

11Sin 22Sout *11SS *

22SL

2

22

22

212max1

1

1

1

L

L

S

TS

SG

2

22

2

212

11

max1

1

1

1

SS

SGTU

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ATF-34143 at Vds=3V Id=20mA.

fara stabilizare K = 0.886, MAG = 14.248dB @ 5GHz

nu poate fi folosit in aceasta polarizare

ATF-34143 at Vds=4V Id=40mA

fara stabilizare K = 1.031, MAG = 12.9dB @ 5GHz

utilizam aceasta polarizare pentru a implementaun amplificator

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ATF-34143 at Vds=4V Id=40mA. @5GHz

S11 = 0.64111°

S12 = 0.117-27°

S21 = 2.923 -6°

S22 = 0.21 111°

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Parametri S

S11 = -0.229+0.597·j

S12 = 0.104-0.053·j

S21 = 2.907-0.306·j

S22 = -0.075+0.196·j

dB9.12497.1912

12

21max KK

S

SGT

dB8.11139.151

1

1

12

22

2

212

11

max

S

SS

GTU

Page 69: Curs 8 2014/2015 - rf-opto.etc.tuiasi.rorf-opto.etc.tuiasi.ro/docs/files/DCMR_Curs_8_2014.pdf · Castigul de putere S 2 22 2 2 2 21 1 1 1 in L L in L S S P P G * * * Castigul introdus

1

2

1211

2

4

C

CBBS

2

2

2222

2

4

C

CBBL

*22111

22

22

2

111 1

SSC

SSB

*11222

22

11

2

222 1

SSC

SSB

529.0277.0

207.1

1

1

jC

B

013.0222.0

476.0

2

2

jC

B

768.0403.0 jS 04.0685.0 jL

1867.0 S 1686.0 L

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Laboratorul de microunde si optoelectronica http://rf-opto.etti.tuiasi.ro [email protected]