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(1) Consider the discrete-time signal x(n), with Fourier transform given by N(ej«) D(eju)' X (c") = %3D where N(e") = 1.5 + 0.375e¬jw – 0.9e¬j2w. %3D and D(e") = 0.25 +0.6750e¬jw – 1.2e¬j2w + 0.4e¬j3w. (b) Find the poles and zeros of X(z). Hence, identify and draw the region of conversion ROC.

(1) Consider the discrete-time signal x(n), with Fourier transform given by N(ej«) D(eju)' X (c") = %3D where N(e") = 1.5 + 0.375e¬jw – 0.9e¬j2w. %3D and D(e") = 0.25 +0.6750e¬jw – 1.2e¬j2w + 0.4e¬j3w. (b) Find the poles and zeros of X(z). Hence, identify and draw the region of conversion ROC.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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(1) Consider the discrete-time signal x(n), with Fourier transform given by X(ej): N(ejw) D(ejw)' where N(eJ") = 1.5 + 0.375e¬jw 0.9e-j2w and D(e") = 0.25 +0.6750e¬jw - 1.2e-j2w + 0.4e¬j3w (b) Find the poles and zeros of X(2). Hence, identify and draw the region of conversion ROC.
Transcribed Image Text:(1) Consider the discrete-time signal x(n), with Fourier transform given by X(ej): N(ejw) D(ejw)' where N(eJ") = 1.5 + 0.375e¬jw 0.9e-j2w and D(e") = 0.25 +0.6750e¬jw - 1.2e-j2w + 0.4e¬j3w (b) Find the poles and zeros of X(2). Hence, identify and draw the region of conversion ROC.
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