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What is the relation between the power spectral density and the autocorrelation function?

What is the relation between the power spectral density and the autocorrelation function?

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Answer #1

Power spectral density : It shows the strength of the variations (energy) as a function of frequenfrequency

autocorrelation function :it refers to a problem in data collected repeatedly over time

Relation between power spectral density and autocorrelation function:

Power spectrum density is generally Fourier transform of autocorrelation function of power signal.This property is helpful for calculating power of any power signal

Property :

P = Rff(0)

Where P = power of signal

Rff(0) = the value of autocorrelation of signal at t=0

# if Rff is real and even then its power spectral density is also real and even

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