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Bias Circuit

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8.11 Summary of Equations<br />

Rs = Ris2 || Rbias<br />

avd12 = –gmRD<br />

,<br />

Differential-stage bias equation.<br />

Threshold voltage for with VB = VSS and thus<br />

VSB = 2IDRbias.<br />

Approximate relation for drain-current<br />

imbalance due to kn1 kn2 and Vtno1 Vtno2.<br />

Ideal voltage gain, Rbias<br />

= gm2 = gm.<br />

and gds = 0, gm1<br />

Gain Vd2/Vg1 = Vo2/Vi for noninverting output<br />

with finite Rbias.<br />

Gain Vd1/Vg1 = Vo1/Vi for inverting output with<br />

finite Rbias.<br />

Gain Vd1/Vg1 = Vo1/Vi for inverting output for<br />

source resistance, Rs, with gds 0.<br />

Input at the source of M2 with gds<br />

Gain Vd2/Vs2 = Vo2/Vs2 for common-gate stage<br />

of M2 for gds 0.<br />

Gain Vs1/Vg1 = Vs1/Vi of source-follower with<br />

input at gate of M1 and output at source of M1.<br />

Gain Vd2/Vg1 = Vo2/Vi for noninverting output<br />

0.<br />

and gds<br />

Gain for differential input, differential output<br />

with RD1 = RD2 and gm1 = gm2.<br />

Common-mode gain.<br />

0.

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