7. Consider the discrete-time systems specified by the following input-output relationships, where x[n]is the input and y[n] the output:(a) y[n] = x[n − 1] +3(b) y[n] = x[n] + 3x[n -2](c) y[n] = 5x[n] cos(0.25kn)For each system, determine if the system is: 1) linear or not; 2) time-invariant; 3) causal or not.

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Answered: For each system,

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For each system,

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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Current Division Method

The generalized current divider formula is given by the following relation below,

Question

7. Consider the discrete-time systems specified by the following input-output relationships, where x[n]
is the input and y[n] the output:
(a) y[n] = x[n − 1] +3
(b) y[n] = x[n] + 3x[n -2]
(c) y[n] = 5x[n] cos(0.25kn)
For each system, determine if the system is: 1) linear or not; 2) time-invariant; 3) causal or not.

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