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An energy signal is one whose

  • A.Spectrum is confined within a finite band of frequencies
  • B.Finite energy and zero average power
  • C.Average power is finite and non-zero over all time
  • D.Amplitude never exceeds a stated bound at any instant

Answer: B

An energy signal has finite total energy, which forces its average power over all time to be zero; a single pulse is the standard example. A power signal is the complement, with infinite energy and finite non-zero average power, which is what a sinusoid or any periodic signal is. Boundedness of amplitude is a separate property that neither implies. And band limitation concerns the spectrum's extent rather than the signal's energy.

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