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A band-limited signal with a maximum frequency of 5 kHz is to be sampled. According to the sampling theorem, the sampling frequency which is not valid is _______________

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A band-limited signal with a maximum frequency of 5 kHz is to be sampled. According to the sampling theorem, the sampling frequency which is not valid is _______________

(a) 5 kHz

(b) 12 kHz

(c) 15 kHz

(d) 20 kHz

This question was addressed to me in an online quiz.

This intriguing question originated from Power and Energy Signals in section Fourier Series of Signals and Systems

1 Answer

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The correct option is (a) 5 kHz

For explanation I would say: (fs) min = 2 fm

Also, (fs) min = 2 X 5 = 10 kHz

So, fs ≥ 10 kHz.

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