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x[n] o-o -1 h[n] -1- -26 2.

x[n] o-o -1 h[n] -1- -26 2.

Introductory Circuit Analysis (13th Edition)
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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Consider a discrete LTI system with the following input x[n] and the
impulse response h[n],


a) Find the output signal y[n]=x[n]*h[n]
b) Plot the output signal y[n].

x[n] o-o -1 h[n] -1- -26 2.
Transcribed Image Text:x[n] o-o -1 h[n] -1- -26 2.
Expert Solution
Step 1

a.

In this case, the expression of the signals x[n] and h[n] can be expressed as

Electrical Engineering homework question answer, step 1, image 1

The discrete convolution will be performed by the tabular method. 

Since the length of x[n] and h[n] is 4 and 5 respectively, the total number of samples in the convoluted sequence will be

4+5-1=8.

 

Step 2

In the tabular method, the convolution is performed in the following way:

Electrical Engineering homework question answer, step 2, image 1

Therefore, the result of convolution between the signals x[n] and h[n] will be

Electrical Engineering homework question answer, step 2, image 2

 

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