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A triangular pulse has a spectrum that decays

  • A.Faster than that of a rectangular pulse of the same width
  • B.More slowly than that of a rectangular pulse
  • C.At exactly the same rate as a rectangular pulse
  • D.Without decaying at all, extending flat to infinity

Answer: A

Smoother waveforms have more compact spectra, so the triangular pulse, having no discontinuity in amplitude, decays as the inverse square of frequency where the rectangular pulse decays only as the inverse first power. That is the general rule worth carrying: each additional degree of smoothness in time buys another power of decay in frequency, which is why pulse shaping is used to control the bandwidth of digital transmissions.

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