等偶长度反对称双正交小波滤波器组设计

new class of biorthogonal wavelet filter banks, named equal-even length anti-symmetric biorthogonal wavelet filter banks, was constructed in this paper. Any filter in each of these filter banks has the same even length and support interval, and that the corresponding dual wavelet function hold anti-symmetric property. Design conditions were proved in theory and design steps were described in detail based on computing formulas deduced. Moreover, characteristics of this class of wavelet were studied, and particularly differential operator function was analyzed in detail. As an example, filter coefficients of the equal-even length Bior5.5 were given and these graphs of dual wavelet functions were also drawn, which verified these characteristics of this class of wavelet correctly.