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) (z-0.5)²(z+/or ROC |z] >. z3-2z2 3- X(z) for ROC < Iz\ > (z-0.5)(z+) 4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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 < Iz| < 3, (b) |z| > 3, (c) |z| < 1
%3D
(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 < Izl >}
%3D
(z-0.5)(z+)
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 < Iz| < 3, (b) |z| > 3, (c) |z| < 1 %3D (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 < Izl >} %3D (z-0.5)(z+) 4
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