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The complex envelope of a passband signal is useful because it

  • A.It removes the carrier
  • B.Doubles the signal-to-noise ratio available at the receiver
  • C.Eliminates the need for any filtering in the receiver
  • D.Converts a random signal into a deterministic one

Answer: A

Writing a passband signal as a complex envelope times a carrier exponential strips out the carrier and leaves a low-frequency complex signal carrying all the information, which is why simulation and digital signal processing work almost entirely in that representation: the sampling rate need only suit the bandwidth, not the carrier frequency. It changes no signal-to-noise ratio, since it is a representation rather than a processing gain. Filtering is still required. And nothing about it alters the statistical character of a signal.

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