Necessary condition for sampling without overlapping

Q.  The spectrum of the sampled signal may be obtained without overlapping only if
- Published on 15 Oct 15

a. fs ≥ 2fm
b. fs < 2fm
c. fs > fm
d. fs < fm

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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