# Hw3 - EE315A Spring 2009 B Murmann Page 1 of 3 HOMEWORK#3(Due Thursday 1pm PT In class we derived a"passive pole-zero cancellation technique based

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EE315A Spring 2009 B. Murmann Page 1 of 3 Last modified 4/17/2009 7:55:00 AM HOMEWORK #3 (Due: Thursday, April 23, 2009, 1pm PT) !" In class, we derived a “passive” pole-zero cancellation technique based on using a nulling resistor R Z . In this problem, we will take a look at an alternative “active” method that uses an additional amplifier. a) In the integrator shown below, both amplifiers have infinite DC gain and a unity gain frequency of \$ u. Show that the transfer function of this circuit is approximately given by % % & ( ( ) * + ,- uo o / !! 1 1 s ! H(s) where \$ 0 =1/RC. In your derivation, neglect (s/ \$ u ) 2 terms relative to s/ \$ u . R V in V out C b) In order to appreciate the benefits of this circuit, you will now compare its phase error to the “uncompensated” circuit, described by the transfer function shown on slide 8 of handout 7. For \$ = \$ 0 and \$ u =20 .\$ 0 , compute the phase error for the transfer function of the uncompensated circuit in degrees and compare this to the phase error of the circuit analyzed under (a). The phase error of an inverting integrator is defined as the deviation of its phase response from a perfect +90 degree shift (typically evaluated at \$ 0 ). c) What are some of the basic advantages and disadvantages of the “active” pole-zero compensation method when compared to the simple nulling resistor method on slide 15 handout 7?

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## This note was uploaded on 08/23/2009 for the course EE 315A taught by Professor Borismurmann during the Spring '09 term at Stanford.

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Hw3 - EE315A Spring 2009 B Murmann Page 1 of 3 HOMEWORK#3(Due Thursday 1pm PT In class we derived a"passive pole-zero cancellation technique based

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