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Why does oversampling simplify the anti-alias filter?

  • A.The signal's own bandwidth is reduced by the higher rate
  • B.The transition band available becomes much wider
  • C.Fewer bits are then needed to reach the same quality
  • D.The quantisation noise falls in direct proportion to the rate

Answer: B

Sampling well above Nyquist moves half the sampling rate far above the signal band, so the filter has a wide transition region and need not be steep. Word length is a separate matter, quantisation noise per unit bandwidth is unchanged by the rate alone, and the signal's bandwidth is a property of the signal. Buying an easier filter with a faster clock is a trade that became attractive as digital circuitry got cheap and precision analogue filters did not.

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