关键词: 双正交小波, 滤波器, 求和法则

Abstract: The symmetric biorthogonal low-pass filters of 4-band and the corresponding scaling functions are constructed by using the sum rules. Also, the symmetric or anti-symmetric biorthogonal wavelet filters of 4-band with high order vanishing moment and short support are obtained. Especially, the coefficients of filter constructed are all rational numbers and their denominators are all binary. Therefore, it is very convenient for these filters to be applied. At last, the smoothness index of the scaling functions constructed can be estimated by the method of Hanbin.

Key words: biorthogonal wavelets, filters, sum rules