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ISRO2016-ECE Networks

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An FM signal at $10.7$ MHz IF needs to be digitized for demodulation in a digital domain. If the bandwidth of this signal is $200$ kHz, the maximum usable sampling frequency is

  1. $200$ kHz
  2. $600$ kHz
  3. $400$ kHz
  4. $800$ kHz
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To determine the maximum usable sampling frequency for digitizing the FM signal, we can use the Nyquist sampling theorem. The Nyquist theorem states that to accurately reconstruct a continuous signal from its samples, the sampling frequency (Fs) should be at least twice the bandwidth of the signal (B). Mathematically, the Nyquist theorem can be expressed as:

Fs ≥ 2 * B

where:
Fs = Sampling frequency
B = Bandwidth of the signal

In this case, the bandwidth of the FM signal is given as 200 kHz. We need to find the maximum usable sampling frequency (Fs) for digitization.

Fs ≥ 2 * 200 kHz
Fs ≥ 400 kHz

The maximum usable sampling frequency (Fs) is 400 kHz.

So, the correct answer is:

(c) 400 kHz
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