Question

Find the Nyquist rate and Nyquist interval for the signal f(t) = rect(200t).

(a) ∞ Hz, 0 sec

(b) 0 Hz, ∞ sec

(c) ∞ Hz, ∞ Hz

(d) 0 Hz, 0 sec

The question was asked by my school principal while I was bunking the class.

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

Answer 1

Correct choice is (a) ∞ Hz, 0 sec

Explanation: Given f(t) = rect(200t), which is a rectangular pulse signal having pulse width of 1/200 seconds. Since the signal is a finite duration signal, it is not band-limited. The signal spectrum consists of infinite frequencies.

Hence, Nyquist rate is infinity and Nyquist interval is zero.