h27_lecture19_2

h27_lecture19_2 - Lecture 19 Step Response Boris Murmann...

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EE 214 Lecture 19 (HO#27) B. Murmann 1 Lecture 19 Step Response Boris Murmann Stanford University murmann@stanford.edu Copyright © 2004 by Boris Murmann EE 214 Lecture 19 (HO#27) B. Murmann 2 Overview Reading – 7.5 (Relation Between Frequency and Time Response) Reference – H.C. Yang and D.J. Allstot, "Considerations for fast settling operational amplifiers," IEEE Trans. Ckts. and Syst., March 1990, pp. 326 – 334. Introduction – OTAs with capacitive feedback are primarily used in switched capacitor circuits, where fast settling to voltage steps at the input is critical. In today's lecture we will look at first and second order behavior in the step response of feedback OTAs.
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EE 214 Lecture 19 (HO#27) B. Murmann 3 Motivation In switched capacitor circuits, the amplifiers have to respond to voltage steps How fast of a switched capacitor circuit can we build? φ 1 φ 2 φ 1 V in φ 1 φ 2 φ 1 φ 2 time V out EE 214 Lecture 19 (HO#27) B. Murmann 4 Analysis Assuming a single pole system, we have G m V out C f C s C in V step C L V in (t) 0 () c 0 0 f s in out s 1 1 T 1 T C C ) s ( V ) s ( V s A ω + + = Ltot m c C G β in s f f C C C C + + = o m R G T = 0 ( ) f L Ltot C C C + = 1
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EE 214 Lecture 19 (HO#27) B. Murmann 5 Step Response ) s ( V ) s ( A ) s ( V in out = { } ) s ( V ) s ( A L ) t ( V in 1 out = () τ / t 0 0 step f s step 1 out e 1 T 1 T V C C s V ) s ( A L ) t ( V + = = c 1 ω = Ideal Response Static Error Dynamic Error 0 ε d EE 214 Lecture 19 (HO#27) B. Murmann 6 Graphical Illustration 0 2 4 6 8 10 0 0.2 0.4 0.6 0.8 1 t/ τ V out
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h27_lecture19_2 - Lecture 19 Step Response Boris Murmann...

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