1. Determine the z-transform and the ROC of the signalx(n) = 3(0.5") u(-n) - 5(0.25") u(n).***2. A sequence x(n) defined by:n=0,1,-1n=2,-2(0.5x(n) = {1.5n>/2/Is input to a digital filter characterized by:y(n) + 2y(n – 1) = x(n) – 5 x(n + 1)Where y(n) is the output response of the filter.Find the Fourier transform Y(ew) of the output.

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1. Determine the z-transform and the ROC of the signal x(n) = 3(0.5") u(-n) - 5(0.25") u(n). *** *****

1. Determine the z-transform and the ROC of the signal x(n) = 3(0.5") u(-n) - 5(0.25") u(n). * ***

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

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Question

1. Determine the z-transform and the ROC of the signal
x(n) = 3(0.5") u(-n) - 5(0.25") u(n).
***
2. A sequence x(n) defined by:
n=0,1,-1
n=2,-2
(0.5
x(n) = {1.5
n>/2/
Is input to a digital filter characterized by:
y(n) + 2y(n – 1) = x(n) – 5 x(n + 1)
Where y(n) is the output response of the filter.
Find the Fourier transform Y(ew) of the output.

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