autocorrelation function
1.A bias reduction procedure is presented to calculate the autocorrelation function in wall turbulence.
2.Methods based on spatial frequencies evaluate the coefficients of the autocorrelation function of the texture.
3.The cyclic autocorrelation function for PSK signals is derived,a cyclic autocorrelation based statistic is established,and by employing such a statistic a new blind parameter estimation method for PSK signals is proposed.
4.The analytic formula for BOC(1,1) autocorrelation function was deduced,the position for peak values and zero values were shown. The correlation function values and acquisition were compared between BOC(1,1) and its spread code.
5.The constructive method of new spreading sequence with ideal two-level autocorrelation function is obtained from the ideas of the d-form sequence and extended sequences.
6.By the means of molecular dynamics simulation,self-diffusion coefficient for simple fluid has been simulated using Green-Kubo relation(VACF: velocity autocorrelation function) and Einstein relation(MSD: mean square displacement).
7.The excitations of vehicle random dynamic systems——the samples of road surface roughness time series are statistically simulated by use of the RAMA(p, q) models. The state equations of vehicle systems are solved using the Rugge-Kutta method. The samples of vibration response time series are obtained and processed by the probabilistic method to give the statistical characteristics, such as root-mean-square, autocorrelation function, power spectral density function, probability density function, etc.
8.The use of wave packet to analyze the dynamics of quantum mechanical systems is an increasingly important method to the study of the classical-quantum correspondence.Using the quantum Gaussian wave packet analysis method,we calculate the autocorrelation function of the rectangular billiard,the peak positions of the autocorrelation function match well with the periods of the classical periodic orbits,which show that the period of the classical orbits can be produced by the time-dependent quantum wave packet method.We also discuss wave packet revivals and fractional revivals in the rectangular billiard,the results show that there are exact revival for all wave packet at each revival time.We find additional cases of exact revivals with short revival times for zero-momentum wave packets initially located at special symmetry point inside the billiard.
9.(3) The relation between a d-form p—ary sequence with ideal autocorrelation and a difference-balanced d-form function is investigated.
10.The results show that, under certain conditions, a d-form p—ary sequence possesses ideal autocorrelation if and only if its corresponding d-form function is difference-balanced .
