To simulate a analog signal of frequency f, bandwidth requirement of channel is : 

The correct answer is 2f.

Key Points

• The bandwidth requirement for simulating an analog signal is determined by the Nyquist criterion.
  • According to the Nyquist theorem, the sampling rate must be at least twice the highest frequency of the analog signal to accurately reconstruct the signal without aliasing.
  • If the frequency of the analog signal is $f$ , the minimum sampling rate required is $2f$ .
  • This ensures that the signal can be accurately digitized and reconstructed.

Additional Information

• Aliasing occurs when the sampling rate is less than twice the signal frequency, leading to distortion in the reconstructed signal.
• To avoid aliasing, a low-pass filter is often used before sampling to limit the bandwidth of the analog signal to $f$ .
• In practical systems, the sampling rate is often slightly higher than $2f$ to provide a margin of safety.
• This principle is widely used in digital audio, communications, and other fields involving analog-to-digital conversion.