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What is the Nyquist rate for a signal band-limited to 4 kHz?

  • A.16 kHz
  • B.8 kHz
  • C.4 kHz
  • D.2 kHz

Answer: B

Twice the highest frequency gives 8 kHz, and telephony's familiar 8 kHz sampling rate for a 3.4 kHz channel comes from exactly this calculation with a little margin for the anti-alias filter. 4 kHz is the signal's own limit and would lose everything. 2 kHz is half of it. And 16 kHz is four times, a comfortable practical rate rather than the theoretical minimum. Standard rates in real systems usually sit a little above Nyquist to leave the filter somewhere to roll off.

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