针对实际应用要求正交小波基具有一定的光滑性和正则性，利用B样条正交小波基构造滤波器，理论上通过对total variation这一正则性度量的计算，得出B样条小波的正则性优于Haar、shanonon小波，并且提出应用互相关算法来解决原信号和重构信号的延迟问题，实验分析表明：由其构造的滤波器应用在非突变信号下比Haar、shanonon小波基构造的滤波器的信噪比得到了显著性的提高。

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 non-abrupt changing signal.

TN957.51