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CMOS Optical Preamplifier Design Using Graphical Circuit Analysis

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Bipolar Transistor<br />

i scb<br />

Z b<br />

v b<br />

b<br />

Z ||<br />

b r 1 ⁄ r<br />

b b<br />

r b<br />

C be<br />

r π<br />

b’<br />

+<br />

vbe -<br />

C cb<br />

g m v be<br />

e<br />

Z e<br />

r o<br />

c<br />

C cs<br />

Figure B.1 High-frequency model of a bipolar transistor.<br />

i scb ′<br />

1 ⁄ rb r b<br />

||<br />

1<br />

---------- ||<br />

1<br />

r || π ----------<br />

sC be<br />

– gm+<br />

sCcb sC cb<br />

sC cb<br />

gm+ 1 ⁄ rπ + sCbe Figure B.2 SFG for the high-frequency bipolar transistor model shown in Figure B.1.<br />

v b ′<br />

1 ⁄ rπ + sCbe i scc<br />

i sce<br />

Z c<br />

Z ||<br />

1<br />

c r ||<br />

1<br />

o ---------- || ----------<br />

1 ⁄ ro – gm<br />

sC cs<br />

gm + 1 ⁄ ro Z ||<br />

e r ||<br />

1<br />

π r ||<br />

o ----------<br />

sC be<br />

sC cb<br />

175<br />

v c<br />

v e

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