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Correlation spectrometers like the [[Michelson interferometer]] vary the time lag between signals obtain the power spectrum of input signals. The power spectrum <math>S_{\text{XX}}(f)</math> of a signal is related to the its autocorrelation function by a Fourier transform:<ref name="Harris">[http://www.sofia.usra.edu/det_workshop/papers/session4/4-04harris_edjw021022.pdf ''Spectrometers for Heterodyne Detection''] Andrew Harris</ref>
{{NumBlk|:|<math>S_{\text{XX}}(f) = \int_{-\infty}^{\infty} R_{\text{XX}}(\tau) \cos(2 \pi f \tau),\mathrm{d}\tau</math>|{{EquationRef|I}}}}
where the autocorrelation function <math>R_{\text{XX}}(\tau)</math> for signal X as a function of time delay <math>\tau</math> is
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