08_Lecutre

08_Lecutre - EE114 Lecture 8 Lecture 8 Miller Approximation...

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EE114 Lecture 8 R. Dutton, B. Murmann 1 Lecture 8 Miller Approximation R. Dutton, B. Murmann Stanford University R. Dutton, B. Murmann 2 Analysis with Extrinsic Caps Applying KCL at nodes 1 and 2, and solving for v o /v i yields r o C gs g m v gs + v gs - + v o - R v i /R i C db C gd R i 1 2 ( ) ( ) [ ] ( ) gd gs db gd db gs i gd i m i gd gs gd db m gd m i o C C C C C C R R s RC R g R C C R C C s g C s R g ) s ( v ) s ( v + + + + + + + + ! ! " # $ $ % = 2 1 1
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EE114 Lecture 8 R. Dutton, B. Murmann 3 Issue We could now in principle use this expression to plot the frequency response of the circuit and compute the 3-dB bandwidth – The result would match the Spice simulation result exactly There are two issues with going in this direction for hand analysis – The procedure is quite tedious… • Imagine how complex the equations would get for a multi- transistor circuit – The derived expression is useless for reasoning about the circuit from an intuitive design perspective • By looking at this equation we cannot easily tell what exactly limits the bandwidth, or how we can improve it R. Dutton, B. Murmann 4 Simulation Result from Last Lecture Want to have a method that let’s us estimate the dominant pole quickly using intuitive methods Without running into high entropy expressions that tell us things we are not interested in… Non-dominant, high-frequency poles and zeros may or may not be important If they are, it may be OK to do a little more work (see material on feedback circuits, later in this
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This note was uploaded on 11/02/2011 for the course EE 114 taught by Professor Murmann during the Fall '08 term at Stanford.

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08_Lecutre - EE114 Lecture 8 Lecture 8 Miller Approximation...

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