Wavelet Filter Banks Using Allpass Filters
Wavelet Filter Banks Using Allpass Filters
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DOI：
10.5772/intechopen.94519
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发表时间：
2020-11
期刊：
影响因子：
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通讯作者：
Xi Zhang
中科院分区：
文献类型：
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作者：
Xi Zhang
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有许多应用。在这一章中，我们讨论了几类小波滤波器组使用全通滤波器。首先描述了由两个真实的全通滤波器和一个复全通滤波器构成的两类正交小波滤波器组，然后分别考虑了无对称性和有对称性的正交滤波器组的设计。其次，我们利用提升格式中的全通滤波器，提出了两类滤波器组。一类是因果稳定的双正交小波滤波器组，另一类是正交小波滤波器组，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。
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.