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CMOS Optical Preamplifier Design Using Graphical Circuit Analysis

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a)<br />

– ( + )<br />

i scin<br />

b)<br />

g m1<br />

Z in<br />

g s1<br />

1<br />

∼ 1 ⁄ ( gm1 + gs1) c)<br />

d)<br />

v in<br />

v in<br />

gm1 + gs1 – gm2 1<br />

gm1 + gs1 ∼<br />

– gm2 Z ||<br />

A Z f vA ∼ R f vA R ||<br />

f 1 ⁄ gm2 v A<br />

∼<br />

∼<br />

5.2 Developing an Analytic <strong>Circuit</strong> Model 122<br />

Y f<br />

– gm3 + Y f<br />

Y f<br />

I n3 + I n3b<br />

– gm3 + Y f<br />

– 1<br />

R f<br />

g m3<br />

I n3 + I n3b<br />

I n3 + I n3b<br />

+<br />

– 1<br />

R f<br />

I n3 + I n3b<br />

i scout<br />

i scout<br />

i scout<br />

i scout<br />

Z || f Z l<br />

Z ||<br />

f Z l<br />

R ||<br />

out 1 ⁄ sCL R out<br />

v out<br />

∼ R ||<br />

f 1 ⁄ sCL v out<br />

v out<br />

v out<br />

1 ⁄ gm2 + R f<br />

= ------------------------------<br />

1 + K cm<br />

Figure 5.13 Progressive approximation and collapsing of SFG in order to<br />

determine output impedance.

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