一种设计最佳小波滤波器组的方法

ICSP '98. 1998 Fourth International Conference on Signal Processing (Cat. No.98TH8344) Pub Date : 1998-10-12 DOI:10.1109/ICOSP.1998.770200

Peng Zhiwei, Wang Bo, Liao Guisheng

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引用次数: 1

摘要

紧支持的正交小波是由两带准准FIR滤波器组解获得的，具有额外的“平坦度”约束，即低通滤波器在采样频率的一半处应该有K个零。设置这个约束是为了获得一个“规则”小波，但它与优秀的频率选择性的要求有些矛盾。产生多贝西小波的最平坦滤波器具有最差的频率选择性。针对这些缺点，提出了两种基于简单线性优化的设计方法，通过最大化滤波器通带内的能量含量来生成具有良好频率选择性的小波滤波器组。最后给出了设计实例。

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A method of designing optimal wavelet filter banks

Compactly supported orthogonal wavelets are obtained from two-band paraunitary FIR filter bank solutions, with the additional "flatness" constraint that the low-pass filter should have K zeros at half of the sampling frequency. This constraint is set to obtain a "regular" wavelet, but it is somewhat in contradiction with the requirement of excellent frequency selectivity. Maximally flat filters yielding Daubechies wavelets have the worst frequency selectivity. According to those drawbacks, two design methods based on simple linear optimizations are proposed to generate wavelet filter banks with excellent frequency selectivity by maximizing the energy content in the filter passband. Finally, designed examples are given.

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ICSP '98. 1998 Fourth International Conference on Signal Processing (Cat. No.98TH8344)

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