using mathematical definition of z transform derive  [rn sinw0n]u[n]    = [rsinw0]z-1 /1-[2rcoswn]z-1+r2 z-2     |z|>r

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 49RE
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using mathematical definition of z transform derive 

[rn sinw0n]u[n]    = [rsinw0]z-1 /1-[2rcoswn]z-1+r2 z-2     |z|>r

 

And, {an , 0<=n<=N-1 and 0, otherwise}  = 1-aN z-N /1-az-1     |z|>0

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