HF crib sheet

# HF crib sheet - ECE137B High-Frequency Amplifier Crib Sheet...

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ECE137B: High-Frequency Amplifier Crib Sheet, Page 1 Basics: Transistor small-signal high-frequency models V be C ° C ° R ° g m V be R o C B E Hybrid-pi model: C m = C bc C p = C be = C p , depl + C p , diff C p , diff = g m t f f t = g m 2 p C p + C m ( ) ( ) g m = a r e = I c V T R p = b + 1 ( ) r e R o = V A I C C ° C ° R o C B E r e g m V eb V eb "T"-model Makes common-base analysis much easier. Both these models are only approximate, being "good" up to f t . Additionally R b ' b is often an important parasitic (not discussed much in 137B. Simplification of Emitter Degeneration R E approximate only; check notes for bounds on validity ˜ C p = C p r e r e + R E ( ) ( ) ˜ g m = g m r e r e + R E ( ) ( ) = a r e + R E ( ) ˜ C m = C m ˜ R p = R p r e + R E ( ) r e ( ) = b + 1 ( ) r e + R E ( ) Common-Emitter Stage C B C ° C ° g m V be V be R Leq R i I i C L V out V gen = V out V gen ( ) MB 1 + s t zero 1 + a 1 s + a 2 s 2 a 1 = R i C p + C m 1 + g m R Leq ( ) ( ) + R Leq C m + C L ( ) a 2 = R i R Leq C m C L + C m C p + C p C L ( ) t zero = - C m g m

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ECE137B: High-Frequency Amplifier Crib Sheet, Page 2 Emitter-Follower Stage B E C ° C ° g m V
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