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 course) 10 6 10
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