不同的小波基有各自的特点和优点。对三种典型的具有紧支撑的小波 ,即Haar小波、正交小波[1] 、双正交小波[2 ] 在滤波中的应用进行了研究 ,对其滤波效果进行了对比并分析了其原因。指出了Haar小波具有最高的时间分辨率 ,能够对信号的瞬态特征进行很好的识别 ;而正交和双正交小波具有二阶的消失矩 ,对信号的逼近精度高。但正交小波缺乏对称 (反对称 )性 ,有可能造成较多的失真。若能做到对信号的不同特征自适应地采用不同的小波基进行分析 ,则可使滤波效果达到最佳。 Different wavelet bases have their own characteristics and advantages. The application of three typical compactly supported wavelets, namely Haar wavelet, orthogonal wavelet [1] and biorthogonal wavelet [2] in filtering is studied, and the filtering effect is compared and analyzed. . It is pointed out that the Haar wavelet has the highest temporal resolution and can well recognize the transient characteristics of the signal. The orthogonal and biorthogonal wavelets have second order vanishing moments and high approximation accuracy to the signal. However, the orthogonal wavelet lacks symmetry (antisymmetry) and may cause more distortion. If we can achieve different characteristics of the signal adaptively using different wavelet bases for analysis, you can filter to achieve the best results.