HW: Using the partial fraction method to find x(n) for z(z2-4z+5) 1- X(z) = for ROC's (a) 2 < ]z] < 3, (b) |z| > 3, (c) |z| < 1 (z-3)(z-1)(Z-2) z3+2z2 2- X(z) = for ROC |z| > (z-0.5)(z+) 4 z3-2z2 3- X(z) for ROC (z-0.5)(z+) 4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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HW: Using the partial fraction method to find x(n) for
z(z2-4z+5)
1- X(z)
for ROC's (a) 2 < |z| < 3, (b) |z|> 3, (c) |z| < 1
(z-3)(z-1)(Z-2)
z3+2z?
3
2- X(z)
for ROC |z| >
(z-0.5) (z+'
4
z3-2z2
1
3- X(z) =
(z-0.5)(z+,/or Roc ;< Izl >
4
Transcribed Image Text:HW: Using the partial fraction method to find x(n) for z(z2-4z+5) 1- X(z) for ROC's (a) 2 < |z| < 3, (b) |z|> 3, (c) |z| < 1 (z-3)(z-1)(Z-2) z3+2z? 3 2- X(z) for ROC |z| > (z-0.5) (z+' 4 z3-2z2 1 3- X(z) = (z-0.5)(z+,/or Roc ;< Izl > 4
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