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1. Find the Fourier transform of the following signals: (a) y [n] = (-0.8)" u [n] (b) y [n] = (0.9)" cos (2n) u [n]

1. Find the Fourier transform of the following signals: (a) y [n] = (-0.8)" u [n] (b) y [n] = (0.9)" cos (2n) u [n]

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
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1. Find the Fourier transform of the following signals: (a) y [n] = (-0.8)" u [n] (b) y [n] = (0.9)" cos (2n) u [n] || 2. Find the zeros and poles of the following transforms (a) X (2) : 22 –1 23+3z²+3z+1 = (b) X (2) = z²+1 z3+3z²+3z+1 z4 2ª+1 (c) X (z) = z²+3z+2 (d) X (z) = z exp (z-1) (e) X (2) = z² exp (-z-1)
Transcribed Image Text:1. Find the Fourier transform of the following signals: (a) y [n] = (-0.8)" u [n] (b) y [n] = (0.9)" cos (2n) u [n] || 2. Find the zeros and poles of the following transforms (a) X (2) : 22 –1 23+3z²+3z+1 = (b) X (2) = z²+1 z3+3z²+3z+1 z4 2ª+1 (c) X (z) = z²+3z+2 (d) X (z) = z exp (z-1) (e) X (2) = z² exp (-z-1)
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