| 11. | The Siegert equation relates the second-order autocorrelation function with the first-order autocorrelation function as follows:
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| 12. | The maximum of the autocorrelation function of \ scriptstyle s _ { c'} is reached at 0.
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| 13. | As the autocorrelation function and the power spectra form a Fourier pair, complementary sequences also have complementary spectra.
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| 14. | These fluctuations are traditionally described by the two dimensional autocorrelation function, or by the corresponding Fourier power spectrum.
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| 15. | A stationary random process does have an autocorrelation function and hence a spectral density according to the Wiener Khinchin theorem.
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| 16. | Specifically, for an AR ( 1 ) process, the sample autocorrelation function should have an exponentially decreasing appearance.
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| 17. | We do this by placing the 95 % confidence interval for the sample autocorrelation function on the sample autocorrelation plot.
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| 18. | This way, x ( t ) is a cyclostationary signal with period T _ 0 and cyclic autocorrelation function:
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| 19. | The degree of voicing is determined by the value of the normalized autocorrelation function at a shift of one pitch period.
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| 20. | Through analysis of the resultant exponential autocorrelation function, average particle size can be calculated as well as a polydispersity index.
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