The Wiener-Khinchin theorem, also known as the Wiener-Khinchin theorem for the autocorrelation function, is a fundamental result in the field of signal processing and stochastic processes. It establishes a relationship between the autocorrelation function of a stationary random process and its power spectral density.
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The Wiener-Khinchin theorem relates the autocorrelation of a weakly stationary process to its power spectral density by a Fourier transform. The displayed convention is appropriate when the optical correlation is and the analytic field contains . A Lorentzian line shape of half-width gives exponential correlation decay , including the carrier factor when the full field is correlated.