Answered: For a discrete-time signal x[n] and its…

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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Question

For a discrete-time signal x[n] and its phase spectrum X(e^jw) (shown in graph form in attached images), the signals x_p[n] and x_d[n] (shown in equation form in attached images) result from sampling x[n] with a sampling period of 2 and decimating x[n] by a factor of 2, respectively. Draw the graphs of x_p[n] and x_d[n] as well as their phase spectrums, X_p(e^jw) and X_d(e^jw).

xp[n] =
[x[n],
0,
n = 0, +2, +4, ...
n = 1, ±3, ...
x₁ [n] = x[2n]

11T
4
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- 2
-
5
4
T
3
4
(a)
X(el)
0
3T
4
5
4
x[n]
2T
11T
4
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