محمود افشاری

In this article, we consider a sample point (tj, sj) including a value sj== f(tj) at height sj and abscissa (time or location) tj . We apply wavelet decomposition by using shifts and dilations of the basic H?ar transform and obtain an algorithm to analyze a signal or function f. We use this algorithm in practical to approximating function by numerical example. Some relationships between wavelets coefficients and asymptotic distribution of wavelet coefficients are investigated. At the end, we illustrate the results on simulated data by using MATLAB and R software.