d-f Find the Z-Transform of the following signals. Find and plot the poles and zeros. What is the regionof convergence?a)_x[n] = 0.4¹u[n]b) x[n] = 2^u[n]c) x[n] = 2^u[n] +0.5"u[n]d) x[n] = 38[n] + 28[n − 1] − 48[n – 2]TUe) x[n] = 3e¹u[n]f) x[n] = 2sin (2nn) u[n]g) x[n] = 2sin (2πn + 7) u[n]h) x[n] = 0.4¹ sin (2πn) u[n]

Given Data:The discrete-time signals,To Find:Z-transform,Pole-zero plotROC

Answered: d) x[n] = 38[n] + 28[n − 1] − 48[n - 2]…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Question

d-f

Find the Z-Transform of the following signals. Find and plot the poles and zeros. What is the region
of convergence?
a)_x[n] = 0.4¹u[n]
b) x[n] = 2^u[n]
c) x[n] = 2^u[n] +0.5"u[n]
d) x[n] = 38[n] + 28[n − 1] − 48[n – 2]
TU
e) x[n] = 3e¹u[n]
f) x[n] = 2sin (2nn) u[n]
g) x[n] = 2sin (2πn + 7) u[n]
h) x[n] = 0.4¹ sin (2πn) u[n]

Expert Solution

Step 1: Summarize the details given:

Given Data:

The discrete-time signals,

$d right parenthesis space x open square brackets n close square brackets equals 3 delta open square brackets n close square brackets space plus 2 delta open square brackets n minus 1 close square brackets minus 4 delta open square brackets n minus 2 close square brackets e right parenthesis space x open square brackets n close square brackets equals 3 e to the power of j straight pi over 3 n end exponent u open square brackets n close square brackets f right parenthesis space x open square brackets n close square brackets equals 2 sin open parentheses 2 over 7 2 straight pi straight n close parentheses u open square brackets n close square brackets$

To Find:

Z-transform,
Pole-zero plot
ROC

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