(a) 4 1. A v = / 2. A i = / 3. A p = A v A i = ( )/( ) 4. Z i = / 5. Z o = /( ) = 0 2 1

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1 c /(22)

2 (a) 4 1. A v = / 2. A i = / 3. A p = A v A i = ( )/( ) 4. Z i = / 5. Z o = /( ) = 0 2 1(b) (a) (b) MOSFET MOSFET V Bias MOSFET 4 MOSFET 3 c /(22)

3 V bias V DD V bias V DD V bias V DD (a) (b) (c) V Bias V DD V Bias V DD V Bias V DD (a) (b) (c) 2 3 MOSFET r c 1 2 4(a) rb βi b R 1 C 1 i b r e R 2 R E C 2 C E V CC (a) (b) 2 4 c /(22)

4 (a) A ve = β = r b (1 β)r e A ie = = β A pe = A vc A ic = β 2 r b (1 β)r e Z ie = = r b (1 β)r e Z oe = = (2 1) 2 4(b) R 1 R 2 R E R 1 R 2 C 1 C 2 C E R E R E R E C E 2 4(b) r b r e R 1 βi b C 1 R 2 C 2 V CC (a) (b) (a) 2 4(b) R E C 1 C 2 R E C E c /(22)

5 A vc = (1 β) = r b (1 β)(r e ) A ic = = 1 β (1 β) 2 A pc = A vc A ic = r b (1 β)(r e ) Z ic = = r b (1 β)(r e ) Z oc = = r e r b 1 β ( < 1 ) (2 2) 1 r e (1 β) r b A vb = α β = = r e (1 α)r b r b (1 β)r e A ib = = α A pb = A vc A ic = α 2 r e (1 α)r b Z ib = = r e (1 α)r b Z ob = = (2 3) c /(22)

6 R 1 re αi e C 2 r b R 2 V CC C 1 R E (a) (b) MOSFET MOSFET MOSFET (a) A vs = r d = g m r d A is = = A ps = A vc A ic = Z is = = Z os = = r d g m r d g m r d MOSFET r d r d = ( I D / V DS ) 1 1/(λI D ) g m g m = I D / V DS 2 KI D g m r d g m r d = 2 KI D 1 λi D = 2 λ K I D = 2 λ(v gs V T ) 3 (2 4) (2 5) c /(22)

7 (2 5) (1) (2) (3) (V gs V T ) MOSFET 2 7(b) R 1 C 1 v gs g m v gs r d R 2 R S C 2 C S V DD (a) (b) (a) g m V gs r d R 1 C 1 R 2 C 2 V DD (a) (b) 2 8 A vd = A id = = r d r d = g m v r in 1 g d m A pd = A vc A ic = r d Z id = = Z od = r d = = 1 //r d 1 g m r d g m (2 6) c /(22)

8 /g m r d g m r d /(r d ) (b) 3 2 9(a) r d R 1 g m v gs C 2 V DD v gs R 2 C 1 R S (a) (b) 2 9 A vg = = (g m r d 1) r d A ig = = 1 A pg = A vc A ic = (g m r d 1) r d Z ig = = r d 1 g m r d Z og = = r d (2 7) MOSFET MOSFET c /(22)

9 MOSFET 1 5(c) r c = i b r e i e = v be /r e 1/r e MOSFET g m = 1/r e MOSFET MOSFET MOSFET g m (1 16) g m (1 8) MOSFET g m MOSFET MOSFET MOSFET g m β MOSFET MOSFET c /(22)

10 A v1 A v(n1) A v(n) (1) (N1) (N) 2 10 N n A v(n) n= 1 2 N N 1 A v(n 1) N N N 1 A v(n 1) A v(n) N N 1 N A vall N k=1 A vk 2 11(a) n n (b) n (n) n A v(n) n (n) = v out(n) = A v(n)(n) n n 1 n n 1 v out(n) n (n) = Z in(n1) v out(n) Z out(n) Z = Z in(n1) A v(n) (n) in(n1) Z out(n) Z in(n1) (2 8) 1 c /(22)

11 N A vall A vall = N k=1 Z in(k1) Z out(k) Z in(k1) A vk (2 9) Z out(n) Z out(n1) (n) Zin A v(n) Z out (n) (n) A v(n) v' out(n) A v(n1) v' out(n1) (n1) (n) Z in(n) (n) n (n1) (n) Z in(n1) = (n1) n1 (a) (b) n n (a) MOSFET 2 MOSFET 2 12(a) G S D M 1 M 2 MOSFET M 2 M 1 g m r d c /(22)

12 (b) MOSFET Z out = = (1 g m2 r d2 )r d1 r d2 (2 10) MOSFET 1 g m2 r d2 MOSFET M 2 2 MOSFET M 2 M 1 2 7(b) M 1 M 2 MOSFET M 1 M 2 D D v gs2 r d2 g m2 v gs2 V bias M 2 G G M 1 v gs1 r d1 g m1 v gs1 S S (a) 2 12 (b) MOSFET c /(22)

13 (a) A C 2 13(a) Z in = 1/ jω(1 A)C (1 A) 2 13(a) C 2 13(b) (1 A) 2 13(b) C A A (1A)C (a) 2 13 (b) 232 C gd C 1 r R 1 //R 2 C gs v gs g m v gs r d (b) 2 14 MOSFET c /(22)

14 r 1 C 1 A l = r d (R 1 //R 2 ) 1 = g m r d (R 1 //R 2 ) r 1 1 jwc 1(rR 1//R 2) (2 11) 4 C 1 1 1/ 2 ω cl = 1/C 1 (rr 1 //R 2 ) C 1 3 R 1 R 2 2 C gs C ds C ds (1 A 0 )C ds A 0 = g m r d /(r d ) C A h = r d (R 1 //R 2 ) 1 = g m ω r d (R 1 //R 2 ) r 1 j 1 C (r//r 1 //R 2 ) (2 12) C 1/ 2 ω ch = 1/C 1 (r//r 1 //R 2 ) g m v gs v gs jωc = g m v gs v gs = 0 jωc = g m = 0 jωc = g m 1 j(ω/ gm C ) C 1 c /(22)

15 H A H H H < 1 AH G G = A = 1 AH (2 13) AH 1 G A/AH = 1/H H H 1 v' A H db db 0 db A H G A c /(22)

16 A S G A = A G G A = 1 1 AH (2 14) 1/(1 AH) H 1 2 A A 0 A = 1 j ω ω c (2 15) A 0 ω C G = v A 0 out 1 A = 0H ω 1 j ω c(1 A 0H) (2 16) 1/(1 A 0 H) 1 A 0 H 3 v d 2 16 = Av v d G = = A 1 AH v d 1 AH (2 17) 1/(1 AH) v d v' A H 2 16 c /(22)

17 (a) MOSFET 2 17(a) v 1 v 2 v 3 v 4 V DD c d v 3 v 4 v 1 v 2 v d v gs g m v gs r d d v c v gs R S g m v gs r d c R S V SS a b c 2 17 v 1 v 2 v c v d v 1 = v d v c v 2 = v d v c v c v d v c = v 1 v 2 /2 v d = v 1 v 2 /2 v c v d A vc A vd = A vc v c A vd v d v d A vd v c v 1 v 2 v d 2 MOSFET 2 17(b) 2 17(b) v 3 r d v 3 = g m v 1 r d (2 18) v 2 v 4 A vd A vd = v 3 v 4 r d = g m v 1 v 2 r d (2 19) v c A vc v d v 1 v 2 c /(22)

18 R S (c) 2 17(c) A vc A vc = g m 1 2g m R s RL2Rs r d g m r d = r d 2R s 2g m r d R s (2 20) CMRR 2 17 CMRR = r d 2R s 2g m r d R s r d (2 21) R s R s R s R s R s R s 1),,, ),,, ), LSI CMOS, CQ, ), MOS,, ),,, ),,,,,, ),,, ) B. Razavi, CMOS,, ) R Gray, S.H. Lewis, P.J. Hurst, and R.G. Meyer, LSI,, c /(22)

19 power amplifer driver buffer amplifer output ffer bu ) 2) Ω Ω Ω 2 PAE P OUT P DC η η = P OUT /P DC PAE: PowerAdded Efficiency P IN PAE = (P OUT P IN )/P DC PAE 3 THD: Total Harmonic Distortion THD 2 c /(22)

20 QPSK 3 5 EVM Error Vector Magnitude P1dB Power at 1 db compression IP3 3rd order Intercept Point (a) A 2 18(b) B B 2 18(c) AB 2 18(d) C D E F 2 B AB Pushpull amplifer npn pnp 3) 3 AB c /(22)

21 (a) A (b) B (c) AB (d) C D PWM PDM LPF 4) (PWL/PDM) LPF 2 19 D 5 C E F 2) 1),,, (1) ( 2 ),, c /(22)

22 ) B. Razavi,, RF,, ),,, ) R. Schreier and G. C. Temes,,, Σ,, c /(22)

3.5 トランジスタ基本増幅回路ベース接地基本増幅回路 C 1 C n n 2 R E p v V 2 v R E p 1 v EE 0 VCC 結合コンデンサベース接地基本増幅回路 V EE =0, V CC =0として交流分の回路 (C 1, C 2 により短絡 ) トランジスタ

3.5 トランジスタ基本増幅回路ベース接地基本増幅回路 C 1 C n n 2 R E p v V 2 v R E p 1 v EE 0 VCC 結合コンデンサベース接地基本増幅回路 V EE =0, V CC =0として交流分の回路 (C 1, C 2 により短絡 ) トランジスタ 3.4 の特性を表す諸量入力 i 2 出力負荷抵抗 4 端子 (2 端子対 ) 回路としてのの動作量 (i) 入力インピーダンス : Z i = (ii) 電圧利得 : A v = (iii) 電流利得 : A i = (iv) 電力利得 : A p = i 2 v2 i 2 i 2 =i 2 (v) 出力インピーダンス : Z o = i 2 = 0 i 2 入力出力出力インピーダンスの求め方