Array processing: Difference between revisions

Revision as of 14:06, 18 October 2016

Revision as of 02:34, 17 November 2016

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|arxiv = 0809.2266 }}</ref>

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''] {{waybackwebarchive |url=https://web.archive.org/web/20160307051932/http://www.sofia.usra.edu/det_workshop/papers/session4/4-04harris_edjw021022.pdf |date=20160307051932March 7, 2016 }} 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}}}}