Consider the following system with uniform sampling
The discrete-time system
(H) is an ideal low-pass filter with cutoff frequency
�
8
.
(
a
)
If
�
�
(
�
)
is bandlimited to
5
�
�
�
,
what is the maximum value of
�
that will avoid aliasing in the A
/
D converter?
(
b
)
If
1
�
=
1
0
�
�
�
,
determine the maximum bandwidth of
�
�
(
�
)
allowed such that the overall system from
�
�
(
�
)
to
�
�
(
�
)
behaves as an LSI system?
For the digital system in problem
3

,
assume
�
=
0
.
5
msec, with
Sketch
�
�
(
�
)
,
�
�
(
�
)
,
and
�
�
(
�
)
.