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

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Electrical Engineering 431 Problem Set II Due: January 30, 2004 Reading : OSB: Chapter 3 2.1 -Transforms Find the causal inverse z-transforms of the following. (a) (b) (c) (d) 2.2 Causal and Noncausal Filtering A system is described by the transfer function (a) Find the causal and purely noncausal unit-sample responses corresponding to this transfer function. (b) What is the difference equation in each case? (c) Which of these fi lters is stable? Why? 2.3 Making fi lters work An ELEC 431 student found a fi lter (by trial-and-error) that has the frequency response he wants. (a) Is his proposed fi lter be causal and stable? (b) Find a better fi lter that has the same magnitude as his, but with nicer properties? 2.4 Autocorrelation The correlation function of the signal is de fi ned to be The index is known as the lag.
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