Question:
The Nyquist sampling theorem states that for a signal with maximum frequency $f_m$, the sampling frequency must be:
The Nyquist sampling theorem states that for a signal with maximum frequency $f_m$, the sampling frequency must be:
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Sampling rate ≥ 2 × max frequency → No aliasing.
Updated On: May 20, 2026
- $f_s = f_m$
- $f_s \ge f_m$
- $f_s \le f_m$
- $f_s \ge 2f_m$
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The Correct Option is D
Solution and Explanation
Concept:
Nyquist theorem states:
\[
f_s \ge 2f_m
\]
Step 1: Meaning Sampling frequency must be at least twice the highest frequency to avoid aliasing.
Step 2: Explanation If: \[ f_s < 2f_m \] then overlapping occurs in frequency domain → distortion. \[ \therefore \text{Correct answer is (D)} \]
Step 1: Meaning Sampling frequency must be at least twice the highest frequency to avoid aliasing.
Step 2: Explanation If: \[ f_s < 2f_m \] then overlapping occurs in frequency domain → distortion. \[ \therefore \text{Correct answer is (D)} \]
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