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Prove the following z-transform pairs: az-1 а) nа"u(п) + |z|>la| (1-az-1)2' 1-cos(@o)z-1 |z/>1 1-2 cos(wo)z-1+z=2' sin(wo)z-1 b) cos(won) u(n) c) sin(@on) u(n) → |zl>1 1-2 cos(wo)z-1+z-2'

Prove the following z-transform pairs: az-1 а) nа"u(п) + |z|>la| (1-az-1)2' 1-cos(@o)z-1 |z/>1 1-2 cos(wo)z-1+z=2' sin(wo)z-1 b) cos(won) u(n) c) sin(@on) u(n) → |zl>1 1-2 cos(wo)z-1+z-2'

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
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Prove the following z-transform pairs:

1. Prove the following z-transform pairs: az-1 а) па"и(п) |z|>la| (1-az-1)2' b) cos(won) u(n) → 1-cos(wo)z-1 |z/>1 1-2 cos(wo)z-1+z¬2' sin(wo)z-1 c) sin(@on) u(n) → |z/>1 1-2 cos(wo)z-1+z¬2*
Transcribed Image Text:1. Prove the following z-transform pairs: az-1 а) па"и(п) |z|>la| (1-az-1)2' b) cos(won) u(n) → 1-cos(wo)z-1 |z/>1 1-2 cos(wo)z-1+z¬2' sin(wo)z-1 c) sin(@on) u(n) → |z/>1 1-2 cos(wo)z-1+z¬2*
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