具有整数标度因子的紧支持正交小波的设计

[1992] Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis Pub Date : 1992-10-04 DOI:10.1109/TFTSA.1992.274173

M. S. Lazar, L. Bruton

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引用次数: 4

摘要

研究表明，离散时间标准正交小波分解与无损完美重构(PR)多速率滤波器组有关，只是这些滤波器通常在设计时没有考虑小波正则性。在M波段PR滤波器设计的基础上，提出了一种产生任意整数比例因子M的标准正交小波的方法，使小波具有规则性，并使相应的PR滤波器具有良好的阻带和通带响应。这种滤波器的应用包括分析任意缩放的信号，如分形。

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The design of compactly supported orthonormal wavelets with integer scaling factors

It has been shown that discrete-time orthonormal wavelet decompositions are related to lossless perfect reconstruction (PR) multirate filter banks except that such filters are not generally designed with wavelet regularity considerations in mind. The authors present a method, based on the design of M-band PR filters, to generate orthonormal wavelets with arbitrary integer scaling factor M, such that the wavelets are regular and the corresponding PR filters have good stop- and pass-band responses. Applications for such filters include the analysis of signals with arbitrary scaling, such as fractals.<>

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[1992] Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis

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