Consider the following two discrete-time signals:1r[n] = u[n],h[n] = u[n] + 35-"u[n – 5]where u[n] denotes the unit step function.i) Compute the signal y[n] = x * h[n].ii) Is the system BIBO-stable? Prove your claim.

Two discrete-time signals are given. The convolution of the two signals has to be evaluated.

Consider the following two discrete-time signals: x[n] = u[n], hln) = n) + 3*-"u[rn – 5] 1 u[n] + 35-"u[n – 5] where uſn] denotes the unit step function. i) Compute the signal y[n] = 2 * h[n]. ii) Is the system BIBO-stable? Prove your claim.

Consider the following two discrete-time signals: x[n] = u[n], hln) = n) + 3-"u[rn – 5] 1 u[n] + 35-"u[n – 5] where uſn] denotes the unit step function. i) Compute the signal y[n] = 2 h[n]. ii) Is the system BIBO-stable? Prove your claim.

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

Consider the following two discrete-time signals:
1
r[n] = u[n],
h[n] = u[n] + 35-"u[n – 5]
where u[n] denotes the unit step function.
i) Compute the signal y[n] = x * h[n].
ii) Is the system BIBO-stable? Prove your claim.

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