Question

Find the Nyquist rate and Nyquist interval for the signal f(t) = 1 + sinc300πt.

(a) 300 Hz, 3 msec

(b) 300 Hz, 3.3 msec

(c) 30 Hz, 3 msec

(d) 3 Hz, 3 msec

This question was addressed to me in an interview.

Asked question is from Sampling in section Sampling Theorem of Signals and Systems

Answer 1

Correct choice is (b) 300 Hz, 3.3 msec

To explain: Given f(t) = 1 + sinc300πt

Frequency, ωm = 300π

2πfm = 300π

2fm = 300 Hz

Nyquist rate, Fs = 2fm = 300 Hz

Nyquist interval, T = \(\frac{1}{2f_m} = \frac{1}{300}\) = 3.3 msec.