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Which is true of the envelope of a single sideband signal for a tone message?

  • A.It is constant, since one sideband is a single sinusoid
  • B.It follows the message exactly
  • C.It follows the rectified message
  • D.It is zero except at the instants of the message peaks

Answer: A

A single tone gives a single sideband component, which is one sinusoid, so its envelope is constant and carries no information at all - the reason envelope detection is useless for SSB. For a real message of many components the envelope does vary, but it still bears no simple relation to the message. Following the message exactly is the full-carrier AM case, and following the rectified message is DSB-SC. This single-tone case is the sharpest illustration of why coherent detection is unavoidable.

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