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Shifting a signal in time changes its spectrum by

  • A.A linear phase term only
  • B.An amplitude scaling only
  • C.A frequency shift proportional to the delay
  • D.Nothing at all

Answer: A

A delay multiplies the spectrum by a complex exponential, which is a linear phase term; the amplitude spectrum is unchanged. That is why a delay is inaudible in isolation but destroys the waveform of a wideband signal if it varies with frequency, which is precisely the phase distortion a real channel imposes. Amplitude scaling comes from a gain change. A frequency shift comes from multiplication by a sinusoid, not from a delay. And the spectrum is certainly affected, in phase if not in magnitude.

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