3
2
d)
A LTI system has the following system function:
4
2
4
2
1
)
(
−
−
−
−
=
z
z
z
H
The input sequence to this system is:
)
4
2
cos(
20
]
[
20
20
]
[
+
+
−
=
n
n
n
x
for -
∞ <
n
< ∞. Determine the output expression of the system (y[
n
]) that
corresponds to the above input x[
n
] that is valid for all
n
.
10
Total
25