Question

Find the Nyquist rate and Nyquist interval of sinc[200t].

(a) 200 Hz, \(\frac{1}{200}\) sec

(b) 200 Hz, 200 sec

(c) \(\frac{1}{200}\) Hz, 200 sec

(d) 100 Hz, 100 sec

I have been asked this question in my homework.

I'm obligated to ask this question of Sampling topic in portion Sampling Theorem of Signals and Systems

Answer 1

Correct choice is (a) 200 Hz, \(\frac{1}{200}\) sec

To elaborate: Here  ωm=200π

2πfm=200π

2fm=200 Hz

Nyquist rate, Fs = 2fm = 200 Hz

Nyquist interval, T = \(\frac{1}{2f_m} = \frac{1}{200}\) sec.