(a) (i) Explain how ideal sampling differs from practical sampling.
(ii) Show that any function of time f (t)whose highest frequency is W Hz can be
determined completely by sampled amplitudes spaced at time intervals of at most
2W
1
seconds apart.
[6 marks]
(b) (i) For the periodic signal
= + = ± ±
=
elsewhere
n r r
x n
0,
1, 4 1; 0, 1, 2,…
[ ] 1 determine the DFT
and sketch both the time and frequency domain representations of the signal.
(ii) For the frequency domain signal
= + = + = ± ±
=
elsewhere
k r and k r r
X k
0
1, 16 2 16 14; 0, 1, 2,…
[ ] 2 show that the time domain
representation is given by
=
4
cos
8
1
[ ] 2
n
x n
p
, n=0, 1, 2 …, 15 for the fundamental
interval. Sketch both the frequency and time domain representations of the signal
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