ECE102_F09_equations

ECE102_F09_equations - ECE102 Convolution Laplace transform Fourier transform a(t b(t = a(t u b(u du CS Avo = g m(ro RD Avo = g m RD 1 g m RS Ro =

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Unformatted text preview: ECE102 Convolution Laplace transform: Fourier transform: a (t ) b(t ) = a (t - u ) b(u ) du - CS: Avo = - g m (ro // RD ) Avo = - g m RD 1 + g m RS Ro = ro // RD Ro = RD Ro = RD Ro = ro // X (s) = - x(t ) e - - s t dt dt CS with RS (ignoring ro): CG (ignoring ro): CD (source follower): MOS capacitances triode: X ( j ) = vD nVT x(t ) e rD = - j t Avo = g m RD Avo = g m ro 1 + g m ro Rin = 1 / g m 1 gm Diode: i D = I S (e - 1) n VT ID + IS forw. bias C j 2 C j0 Cj = reverse bias C j0 m Cd = T ID VT VD 1 - V 0 Cd = 0 C ov = W Lov Cox C gate = W L Cox NMOS triode: NMOS saturation: ' iD = k n v2 W (vGS - Vthn ) v DS - DS 2 L 1 C gate + Cov 2 2 saturation: C gs = C gate + C ov 3 C gs = cutoff: C gd = 1 C gate + Cov 2 C gd = C ov C gs = C gd = Cov C gb = C gate iD = 1 ' W k n (vGS - Vthn ) 2 (1 + v DS ) 2 L k = n C ox ' n Freq. response CS = Rsig C gs = RL C L C ox = ox t ox = (1 + g m RL ) Rsig C gd + RL C gd NMOS saturation: gm = 2 ID VGS - Vthn W ID L ro = 1 ' ID ' gm 2 kn ' gm kn ' I D = I D ( = 0) W (VGS - Vthn ) L MOS current mirror: I I REF = (W / L) 2 1 + 2 VOVER (W / L)1 1 + 1 VGS Differential signals: v d = v 2 - v1 v + v2 vc = 1 2 (differential) (common mode) Common mode rejection ratio: CMRR = 20 log Ad Ac ...
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This document was uploaded on 05/26/2010.

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