具有规律的正交双通道FIR滤波器组的迭代设计方法

R. Bregović, T. Saramäki
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引用次数: 10

摘要

本文描述了一种设计正交双通道完全重构FIR滤波器组的有效迭代方法,该方法使低通分析滤波器在z=-1处具有给定数量的固定零,并使其在给定阻带区域的能量最小。当使用所得到的双通道滤波器组生成离散时间小波组时,消失矩的数量等于位于z=-1处的零的数量。所提出的设计方案速度快,且收敛到最优解与起始点滤波器组无关。与Rioul和Duhamel(1994)提出的在极小极大意义上设计的双通道滤波器组等效物相比,所得到的小波的规律性增加,子滤波器的阻带能量降低。如果在z=-1处对零的数量没有限制,那么结果组是生成频率选择多通道滤波器组和倍频滤波器组的有用构建块。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
An iterative method for designing orthogonal two-channel FIR filter banks with regularities
An efficient iterative method is described for designing orthogonal two-channel perfect-reconstruction FIR filter banks in such a way that the low-pass analysis filter has the given number of fixed zeros at z=-1 and its energy in the given stopband region is minimized. When using the resulting two-channel filter bank for generating discrete-time wavelet banks, the number of vanishing moments is equal to the number of zeros being located at z=-1. The proposed design scheme is fast and the convergence to the optimum solution is independent of the starting-point filter bank. Compared to the two-channel filter bank equivalents designed in the minimax sense as proposed by Rioul and Duhamel (1994), the regularities of the resulting wavelets are increased and the stopband energies of the subfilters are decreased. If there are no constraints on the number of zeros at z=-1, then the resulting banks are useful building blocks in generating frequency-selective multi-channel filter banks and octave filter banks.
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