Z-1 A discrete-time system has the transfer function Hz If the input is z2 -2 æ [n] = cos (n), < n < 0, the output is: = COS O a) yn = 2 cos(n + 1), 2/2 COS 0 < n < 0 4 O b) y/n] = $cos (#n - ). COS 0 < n < ∞ 4 vn] = 2 cos (En + ) #), c) 2/2 cos (n + 0 < n < o0 3 4 O" ). yn = cos (n – COS 0 < n < o0 4 6. e) y[n] = (v2)" cos(§n + a)u[n] +(-v2)" cos(5n – T)u[n]

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z-1
A discrete-time system has the transfer function H|z
If the input is
z2 -2
æ [n] = cos( n),
[u]a
s(플끼),
yn =
CO
- 0 < n < 00, the output is:
2/2
-COS
3
i).
a)
cos(n+),
T
- 0 < n <∞
4
y/n] = cos (n - ).
b)
V2
57
4
0 < n < ∞
y/n] = 2y2 cos (n +
c)
COS
3
00 <n <∞
-
/n] = cos(3n - i)
d)
COS
- 00 < n < ∞
4
Oe y[n] = (v2)" cos(n+ 7) u[n]
cos (n + T)U|n
+(-/2)".
cos (n – 7)u[n]
COS
Transcribed Image Text:z-1 A discrete-time system has the transfer function H|z If the input is z2 -2 æ [n] = cos( n), [u]a s(플끼), yn = CO - 0 < n < 00, the output is: 2/2 -COS 3 i). a) cos(n+), T - 0 < n <∞ 4 y/n] = cos (n - ). b) V2 57 4 0 < n < ∞ y/n] = 2y2 cos (n + c) COS 3 00 <n <∞ - /n] = cos(3n - i) d) COS - 00 < n < ∞ 4 Oe y[n] = (v2)" cos(n+ 7) u[n] cos (n + T)U|n +(-/2)". cos (n – 7)u[n] COS
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