Construction of B-spline Wavelet Bases and Performance Analysis in Signal-denoising
Yang Xing-ming, Zhang Pei-ren · Modern Radar · 2006
As it is required that orthonornal wavelet bases should have smoothness and regularity in practical applications,a filter is constructed by using B-spline wavelets bases.By computing theoretical total variation,a criterion of the regularity is obtained.Result shows that the regularity of B-spline wavelets bases is better than that of Haar and shanonon bases.And a cross-correlation algorithm is proposed for solving problems of delay of original signal and reconstructed signal in this paper.Experimental results show that the signal to noise ration of the filter constructed by B-spline wavelets bases is improved greatly than that of Haar and shanonon bases in using nonabrupt changing signal.