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Instantaneous Power Spectra

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1 Author(s)
Page, Chester H. ; National Bureau of Standards, Washington, D. C.

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The intuitive concept of a changing spectrum is discussed. The instantaneous power spectrum is defined mathematically and used to make the intuitive concepts more precise. It depends upon the past history of a signal, but not upon the future. Integration of the instantaneous power spectrum over time yields the conventional energy spectrum. The instantaneous power spectrum of a random function may be averaged over the ensemble of functions, with a resulting stochastic average instantaneous power spectrum that is equal to the conventional time average power spectrum of a stochastic process.

Published in:

Journal of Applied Physics  (Volume:23 ,  Issue: 1 )