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Which statement about noise bandwidth is correct?

  • A.It depends on the signal's modulation index
  • B.It is the width of an ideal filter admitting the same noise power
  • C.It is always equal to the 3 dB bandwidth of the filter
  • D.It is measured at the antenna rather than at the detector

Answer: B

Noise bandwidth is the width of an ideal rectangular filter that would admit the same noise power as the real filter, which is what makes a single number usable in the \( kTB \) calculation. It is close to but generally a little wider than the 3 dB bandwidth, because a real filter's skirts admit noise beyond its nominal edge. It is a property of the receiver's filtering wherever that sits. And it is independent of the modulation index, though the index does dictate what bandwidth the receiver must provide. Replacing an awkward shape with an equivalent rectangle is a standard move, and knowing it is an equivalence rather than an identity keeps the small discrepancy from being puzzling.

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