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Which statement about bandwidth and noise is correct?

  • A.Noise power is independent of bandwidth
  • B.Noise power falls as bandwidth rises
  • C.Noise power depends only on the carrier frequency
  • D.Noise power rises in proportion to the bandwidth admitted

Answer: D

For a flat noise density, power is density times bandwidth, so it rises in direct proportion to the bandwidth admitted. That is why a receiver's noise bandwidth is kept no wider than the signal requires, and why the matched filter is optimal. Independence of bandwidth would make filtering pointless. A falling relationship inverts the physics. And the carrier frequency affects the noise temperature of some sources but is not what sets the power in a given band.

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