The Z-Transform of x (n) = e -3(n-4) cos(0.17 (n- 4))u (n- 4) Where u(n-4) = 1 for n 24 while u(n-4) = 0 for n < 4 z-3 (z – 0.0474) X (z) = z2 – 0.0948z + 0.0025 X (z) = z' - z (n – 4) О 22 – 0.1z - X (z) = %3D z3 – 2z2 + 0.0025

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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The Z-Transform of
x (n) = e-3(n-4) cos(0.1r (n- 4))u (n- 4)
Where u(n-4) = 1 for n >4
while u(n-4) = 0 for n < 4
z-3 (z – 0.0474)
X (z) =
z2 – 0.0948z + 0.0025
|
X (z) = z – z (n – 4)
.3
22 – 0.1z
-
X (z) =
%3D
z3 – 2z2 + 0.0025
Transcribed Image Text:The Z-Transform of x (n) = e-3(n-4) cos(0.1r (n- 4))u (n- 4) Where u(n-4) = 1 for n >4 while u(n-4) = 0 for n < 4 z-3 (z – 0.0474) X (z) = z2 – 0.0948z + 0.0025 | X (z) = z – z (n – 4) .3 22 – 0.1z - X (z) = %3D z3 – 2z2 + 0.0025
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