autocorrelation function in a sentence

Examples

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