正交小波的线性参数化

Conference Record of the Thirty-First Asilomar Conference on Signals, Systems and Computers (Cat. No.97CB36136) Pub Date : 1997-11-02 DOI:10.1109/ACSSC.1997.679104

W. Lu

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引用次数: 3

摘要

提出了一种紧支撑正交小波滤波器参数化的新方法。众所周知的Daubechies(1988)正交小波可以看作是参数化正交小波类的一个子集，它在给定的滤波器长度下处理最大数量的消失矩。与现有的正交小波参数化方法不同，该方法通过对所有半带滤波器进行线性表征来实现参数化。本文还介绍了将该参数化技术与高效线性规划或二次规划相结合得到的正交小波优化设计的实例，以及这些小波在信号压缩和去噪中的应用。

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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Linear parameterization of orthogonal wavelets

This paper describes a new method for the parameterization of compactly supported orthogonal wavelet filters. The well-known Daubechies (1988) orthogonal wavelets can be viewed as a subset in the parameterized orthogonal wavelet class, which processes a maximum number of vanishing moments for a given filter length. Unlike the existing parameterizations of orthogonal wavelets, the proposed method does the parameterization through a linear characterization of all halfband filters. The paper also includes examples of optimal designs of orthogonal wavelets obtained using this parameterization technique in conjunction with efficient linear programming or quadratic programming, and application of these wavelets to signal compression and signal denoising.

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Conference Record of the Thirty-First Asilomar Conference on Signals, Systems and Computers (Cat. No.97CB36136)

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