Some Properties of a Class of Wiener Difference Processes and Wavelet Express

Abstract

Recently, some researchers have studied wavelet problems of stochastic processes or stochastic system by using wavelet. In this paper, we take wavelet and use it in a series expansion of signals or functions. Wavelet has its energy concentration in time to give a tool for the analysis of transient and nonstationary and time-varying phenomena. Wavelets have contributed to this already intensely developed and rapidly advancing field. The study of Wiener difference processes stochastic system is very important in theory and application. In this paper, Wiener difference processes are studied by using wavelet analysis, and some properties and wavelet express are obtained.