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Module 4: Pulse Modulation-I

20242m

The minimum sampling frequency required to avoid aliasing for a signal with a maximum frequency of 8 kHz is:
(i) 8 kHz
(ii) 12 kHz
(iii) 16 kHz
(iv) 20 kHz

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Answer

Correct Option: (iii) 1616 kHz

Explanation

Nyquist Sampling Theorem: fs≥2fmf_s \ge 2f_m to avoid aliasing.

Given fm=8f_m = 8 kHz → fsmin=2×8=16f_s^{min}=2\times8=16 kHz.

Sampling below 16 kHz causes aliasing (foldover), reconstruction fails.

Final Answer

1616 kHz → Option (iii).

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