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

http://www.ieicehbkb.org/ 1 7 2 1 7 2 2009 2 21 1 1 3 22 23 24 25 2 26 21 22 23 24 25 26 c 2011 1/(22)

http://www.ieicehbkb.org/ 1 7 2 1 7 2 21 2009 2 1 1 3 1 211 2 1(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) 2 1 212 3 3 1 6 MOSFET MOSFET 3 2 2 2 3 V Bias 1 1 15 1 17 MOSFET 4 MOSFET 3 c 2011 2/(22)

http://www.ieicehbkb.org/ 1 7 2 V bias V DD V bias V DD V bias V DD (a) (b) (c) 2 2 3 V Bias V DD V Bias V DD V Bias V DD (a) (b) (c) 2 3 MOSFET 3 213 1 1 1 5 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 2011 3/(22)

http://www.ieicehbkb.org/ 1 7 2 2 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) 2 2 5 r b r e R 1 βi b C 1 R 2 C 2 V CC (a) (b) 2 5 2 5(a) 2 4(b) R E C 1 C 2 R E C E c 2011 4/(22)

http://www.ieicehbkb.org/ 1 7 2 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 1 1 1 3 2 6 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 2011 5/(22)

http://www.ieicehbkb.org/ 1 7 2 R 1 re αi e C 2 r b R 2 V CC C 1 R E (a) (b) 2 6 214 MOSFET MOSFET MOSFET 1 1 8 1 2 7(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 2011 6/(22)

http://www.ieicehbkb.org/ 1 7 2 (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) 2 7 2 2 8(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 2011 7/(22)

http://www.ieicehbkb.org/ 1 7 2 1 1/g m r d g m r d /(r d ) 1 1 2 8(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) 1 215 MOSFET MOSFET c 2011 8/(22)

http://www.ieicehbkb.org/ 1 7 2 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 1 1 8 MOSFET MOSFET g m (1 16) g m (1 8) MOSFET g m MOSFET MOSFET MOSFET g m β 1 1 11 1 8 1 12 MOSFET MOSFET c 2011 9/(22)

http://www.ieicehbkb.org/ 1 7 2 1 7 2 22 2009 2 1 221 2 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 1 2 11(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 2011 10/(22)

http://www.ieicehbkb.org/ 1 7 2 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 n1 2 11 222 2 12(a) MOSFET 2 MOSFET 2 12(a) G S D M 1 M 2 MOSFET M 2 M 1 g m r d c 2011 11/(22)

http://www.ieicehbkb.org/ 1 7 2 2 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 2011 12/(22)

http://www.ieicehbkb.org/ 1 7 2 1 7 2 23 2009 2 231 2 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 2 14 2 7(b) 2 14 MOSFET c 2011 13/(22)

http://www.ieicehbkb.org/ 1 7 2 1 1 12 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) 1 3 4 C 1/ 2 ω ch = 1/C 1 (r//r 1 //R 2 ) 3 0 2 14 0 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 2011 14/(22)

http://www.ieicehbkb.org/ 1 7 2 1 7 2 24 2009 2 241 2 15 2 15 1 H A H H H < 1 AH G G = A = 1 AH (2 13) AH 1 G A/AH = 1/H H 1 2 15 H 1 v' A H 2 15 0 db 180 180 0 db 0 db 242 1 A H G A c 2011 15/(22)

http://www.ieicehbkb.org/ 1 7 2 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 2011 16/(22)

http://www.ieicehbkb.org/ 1 7 2 1 7 2 25 2009 2 2 2 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 2011 17/(22)

http://www.ieicehbkb.org/ 1 7 2 R S 2 2 2 2 2 17(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),,, 1984. 2),,, 1990. 3), LSI CMOS, CQ, 2005. 4), MOS,, 1998. 5),,, 2008. 6),,,,,, 2006. 7),,, 2001. 8) B. Razavi, CMOS,, 2003. 9) R Gray, S.H. Lewis, P.J. Hurst, and R.G. Meyer, LSI,, 2003. c 2011 18/(22)

http://www.ieicehbkb.org/ 1 7 2 1 7 2 26 2008 9 power amplifer driver buffer amplifer output ffer bu 261 1 1) 2) Ω Ω 2 5 1 50 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 2011 19/(22)

http://www.ieicehbkb.org/ 1 7 2 QPSK 3 5 EVM Error Vector Magnitude P1dB Power at 1 db compression IP3 3rd order Intercept Point 262 1 2 18(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 2011 20/(22)

http://www.ieicehbkb.org/ 1 7 2 (a) A (b) B (c) AB (d) C 2 18 2 4 2 19 D PWM PDM LPF 4) (PWL/PDM) LPF 2 19 D 5 C E F 2) 1),,, (1) ( 2 ),, 1980. c 2011 21/(22)

http://www.ieicehbkb.org/ 1 7 2 2) B. Razavi,, RF,, 2002. 3),,, 1998. 4) R. Schreier and G. C. Temes,,, Σ,, 2007. c 2011 22/(22)