The features of reversible and irreversible process under mechanical turbulence are described using time correlation function and correlation time of statistical thermodynamics.

In this paper, several classical methods of pitch detection are proposed with analysis of their strong points and weak points, they are short time autocorrelation function, short time average magnitude difference function, cepstrum and wavelet transform.

Variance analysis on sinusoid frequency estimators based on the argument of the sample autocorrelation function;

The autocorrelation functions of sequences generated by copying;

Based on the autoregressive(AR) model,the technology of digital filter was used to generate the rough surfaces that have the given autocorrelation function(ACF).

The second one is based on self-correlation function.

Analysis and computer random number抯 self-correlation function of normality, rayl and lognormal.

In this paper,which is based on the analysis of the characteristic of noisy signal s wavelet transform,a self-adaptive method to determine a proper decomposition order is proposed according to the white noise verification based on self-correlation function.

An algorithm of digital watermark based on auto-correlation function in the discrete wavelet transform domain;

According to the disadvantage of the method that using auto-correlation function to abstract the periodic time of pitch,this method used center-clipping method to reduce the computational complexity of calculating auto-correlation functions of the fast signal.

Within the data window,the auto-correlation function is used to calculate the transient energy and the cross-correlation function is used to analyze the relations between line phases,which are applied in leakage protection to effe.