Necessary condition for sampling without overlapping

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


a) fs>= 2fm
b) fs< 2fm
c) fs> fm
d) fs< fm

where, fs is the sampling frequency and fm is the signal frequency

Correct Answer: fs>= 2fm


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

spectrum of sampled signal
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