I. QUESTION

Consider the ideal low-pass analog filter h(t).

- H(Q), where

e-jd

for

0,

elsewhere.

Here d > 0 (s) denotes the delay and S2,> 0 (rad/s) denotes the cutoff frequency.

1) Find corresponding impulse response h(t).

2) For d = 1 (s) and 2 = (27) (10) (rad/s), plot h(t), te [-2, +2] (s).

H(S)-

N

3) Sample h(t) with a sampling frequency of 30 (Hz) and then use the samples that lie

between [0, +2] (s) to causally reconstruct back h(t). Plot the reconstructed signal on the

same plot of h(t).

4) Repeat the above with a sampling frequency of 10 (Hz).

5) Comment on the results you get in the above two items.