Revision as of 09:17, 27 October 2010

Homework 8, ECE438, Fall 2010, Prof. Boutin

Due in class, Wednesday November 3, 2010.

The discussion page for this homework is here.

Question 1

Consider two discrete-time signals with the same (finite) duration N. Let $ X_1(z) $ be the z-transform of the first signal, and $ X_2[k] $ be the N-point DFT of the second signal. If we assume that

$ X_2[k]=\left. X_1(z) \right|_{z=\frac{1}{2}e^{-j \frac{2 \pi}{N} k}}, \text{ for }k=0,1,\ldots,N-1, $

then what is the relationship between the two signals?

Question 2

Question 3

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