4. For discrete time signal x[n] defined as below, x[n]= {3, 0, 0, 0, 3} (a) Find DTFT X(e'®) and sketch its magnitude | X(e®) | over -n< @ < T. (b) Perform simple averaging with window width = 3, and sketch the result y[n]. (c) Let H(e") be the frequency response of the LTI system that corresponds to the simple averaging performed in (b). Express Y(e") (=DTFT of y[n]) in terms of X(ei") and H(e") and prove the expression.
4. For discrete time signal x[n] defined as below, x[n]= {3, 0, 0, 0, 3} (a) Find DTFT X(e'®) and sketch its magnitude | X(e®) | over -n< @ < T. (b) Perform simple averaging with window width = 3, and sketch the result y[n]. (c) Let H(e") be the frequency response of the LTI system that corresponds to the simple averaging performed in (b). Express Y(e") (=DTFT of y[n]) in terms of X(ei") and H(e") and prove the expression.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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