ProblemSet4

Discrete-Time Signal Processing (2nd Edition) (Prentice-Hall Signal Processing Series)

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Electrical Engineering 431 Problem Set IV Due: February 23, 2004 Reading : OSB: Chapter 7 4.1 Filter Design Your boss wants you to design a digital f lter according to the following speci f cations. (a) Design a Chebyshev f lter using the bilinear transform that meets these speci f cations. Use Matlab to show the frequency response and the pole-zero plot. (b) Use the Parks-McClellan algorithm to design a zero-phase FIR f lter that meets these speci f cations. (c) Compare the magnitude and phases of your two f lters. (d) What are the implications of the orders of the f lters you found? In particular, which is computationally more ef f cient (in other words, which requires fewer computations per output value)? 4.2 Bilinear Transforms An integrator has the transfer function . We form a discrete-time f lter “equivalent” to the integrator by using the bilinear transform. (a) What is the discrete-time transfer function and the corresponding unit-sample re- sponse? (b)
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ProblemSet4 - Electrical Engineering 431 Problem Set IV...

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