HW11

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Signals and Systems 30 October 2012 Fall 2012 Quiz: Wednesday 7 November 2012 Homework Assignment #11 1. A continuous-time filter has the transfer function G ( s ) = 2 2 1 2 + + + s s s . The frequency response and step response plots of the system are shown. Using the bilinear transformation, find two discrete-time approximants H ( z ) to the given transfer function, one with T = 1 and the other with T = 0.1. For each of the two approximants, make a plot of (a) the poles and zeros, (b) the frequency response, and (c) the step response. (See Problems 2 and 3 on reverse.)
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2. A continuous-time filter with the transfer function ) 12 )( 3 ( 1 ) ( + + + = s s s s G has the impulse response, the step response, and the frequency response shown.
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