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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

1. 5 kHz
2. 12 kHz
3. 15 kHz
4. 20 kHz

Correct answer: 5 kHz

Solution

The sampling theorem states that to accurately sample a signal without aliasing, the sampling frequency must be greater than twice the maximum frequency of the signal. Since the maximum frequency is 5 kHz, the minimum valid sampling frequency should be greater than 10 kHz, making 5 kHz an invalid choice.

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