Wavelet Filter Banks Using Allpass Filters

Xi Zhang
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引用次数: 1

Abstract

Allpass filter is a computationally efficient versatile signal processing building block. The interconnection of allpass filters has found numerous applications in digital filtering and wavelets. In this chapter, we discuss several classes of wavelet filter banks by using allpass filters. Firstly, we describe two classes of orthogonal wavelet filter banks composed of two real allpass filters or a complex allpass filter, and then consider design of orthogonal filter banks without or with symmetry, respectively. Next, we present two classes of filter banks by using allpass filters in lifting scheme. One class is causal stable biorthogonal wavelet filter bank and another class is orthogonal wavelet filter bank, all with approximately linear phase response. We also give several design examples to demonstrate the effectiveness of the proposed method.
使用全通滤波器的小波滤波器组
全通滤波器是一种计算效率高的通用信号处理模块。全通滤波器的互连在数字滤波和小波中得到了广泛的应用。在本章中,我们讨论了几种使用全通滤波器的小波滤波器组。首先描述了由两个实全通滤波器和一个复全通滤波器组成的两类正交小波滤波器组,然后分别考虑了不对称和对称正交滤波器组的设计。然后,我们提出了两类在提升方案中使用全通滤波器的滤波器组。一类是因果稳定双正交小波滤波器组,另一类是正交小波滤波器组,它们都具有近似线性的相位响应。最后给出了几个设计实例来验证该方法的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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