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# Spectral Densities

DOI link for Spectral Densities

Spectral Densities book

# Spectral Densities

DOI link for Spectral Densities

Spectral Densities book

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## ABSTRACT

The concept of stochastic power can be developed in analogy with electric power. Stochastic power is a macroscopic parameter. For example, the mean electrical power is proportional to the time average of the square of the current or the voltage. The power density spectrum of a wide-sense stationary process can be calculated from the Fourier transform of the autocorrelation. The center frequency of the power density spectrum can be calculated as an average value of sorts of the frequency using the power density spectrum as the probability density and considering positive frequencies only. Frequencies at which the power density spectrum has large values will contribute more to the center frequency than frequencies at which the power density spectrum has small values. One can calculate the bandwidth of the power density spectrum as a standard deviation of sorts of the frequency, the power density spectrum as the probability density and considering positive frequencies only.