The GATE Grind

GATE 2021 BM – Question 42

Signals and Systems · Signals and Sampling · 2 marks · Multiple choice

An analog signal sampled at 100 MHz produces 1024 samples. Only those samples are used for a 1024-point FFT. Find adjacent frequency-bin separation in kHz.

  1. 102.16
  2. 97.66
  3. 100.00
  4. 95.63

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Correct answer: (B) 97.66

Explanation

FFT frequency spacing is fs/N. Substituting gives 100×10⁶/1024=97656.25 Hz=97.65625 kHz. Rounded to two decimals this is 97.66 kHz, B. Sample frequency itself is not the frequency resolution.

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