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ECE102_F09_equations

# ECE102_F09_equations - ECE102 Convolution Laplace transform...

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ECE102 = du u b u t a t b t a ) ( ) ( ) ( ) ( = dt e t x j X t j ω ω ) ( ) ( = dt e t x s X t s ) ( ) ( Convolution Laplace transform: Fourier transform: Differential signals: (differential) (common mode) Common mode rejection ratio: Diode: S D T D I I V n r + = MOS current mirror: CS: CS with R S (ignoring r o ): CG (ignoring r o ): CD (source follower): NMOS saturation: NMOS saturation: NMOS triode: forw. bias reverse bias triode: saturation: cutoff: MOS capacitances Freq. response CS ) 1 ( = T D V n v S D e I i ox gate C L W C = ov gd gs C C C = = gate gb C C = ov gate gs C C C + = 2 1 ox ov ov C L W C = ov gate gd C C C + = 2 1 L L C R = τ gs sig C R = τ 0 2 j j C C c d A A CMRR log 20 = 1 2 v v v d = 2 2 1 v v v c + = ( ) gd L gd sig L m C R C R R g + + = 1 τ ov gate gs C C C + = 3 2 ov gd C C = T D T d V I C = τ m D j j V V C C = 0 0 1 0 = d C = 2 ) ( 2 ' DS DS th GS n D v v V v L W k i n ) 1 ( ) (
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