Q2. For each of the following z-transforms, determine the inverse: (a) Ya(z) = (1 –z-1) (1 – 2z-1)(1 – 3z) with ROC: 0 < ]z| < ∞. (b) Y½(z) = 5z³/ (1 – z-²) with ROC: |z| > 1. (c) Y.(z) = %3D (6-5z-1+z-2) With ROC defined to get a two-sided signal y.[n]. %3!

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Q2. For each of the following z-transforms, determine the inverse:
(a) Ya(z) = (1 – z-1) (1 – 2z-1)(1 – 3z) with ROC: 0 < |z| < ∞.
(b) Y½(z) = 5z³/ (1 – z-2) with ROC: |z| > 1.
(c) Y-(z) = r-2)
%3D
1
with ROC defined to get a two-sided signal ye[n].
%3D
(6-5z-1+z-2
Transcribed Image Text:Q2. For each of the following z-transforms, determine the inverse: (a) Ya(z) = (1 – z-1) (1 – 2z-1)(1 – 3z) with ROC: 0 < |z| < ∞. (b) Y½(z) = 5z³/ (1 – z-2) with ROC: |z| > 1. (c) Y-(z) = r-2) %3D 1 with ROC defined to get a two-sided signal ye[n]. %3D (6-5z-1+z-2
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