Necessary condition for sampling without overlapping

The spectrum of the sampled signal may be obtained without overlapping only if

Options:

a) f_s>= 2f_m
b) f_s< 2f_m
c) f_s> f_m
d) f_s< f_m

where, f_s is the sampling frequency and f_m is the signal frequency

Correct Answer: f_s>= 2f_m

Explanation:

If the signal of frequency f_m is sampled at the rate f_s >= 2f_m only then the spectrum of the sampled signal is obtained without overlapping. The spectrum obtained is repetitive in nature and is completely without overlapping.