有限域上滤波器组理论

Proceedings of APCCAS'94 - 1994 Asia Pacific Conference on Circuits and Systems Pub Date : 1994-12-05 DOI:10.1109/APCCAS.1994.514560

T. Cooklev, A. Nishihara, M. Sablatash

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引用次数: 18

摘要

用于子带编码的数字滤波器组理论得到了很好的发展。本文的目的是开发一个类似的框架，用于多分辨率分析属于有限域的元素序列。讨论从有限域上的抽取和插值的分析开始。n波段数字滤波器是在有限域上定义的。然后对滤波器组进行了研究。提出了正交滤波器组和双正交滤波器组的设计理论，并给出了设计实例。

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Theory of filter banks over finite fields

The theory of digital filter banks for subband coding is well developed. The purpose of this paper is to develop an analogous framework for the multiresolution analysis of sequences of elements belonging to a finite field. The discussion starts with analysis of decimation and interpolation over finite fields. N-band digital filters are defined over finite fields. Then filter banks are studied. A design theory of orthogonal and biorthogonal filter banks is advanced and examples are given.

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Proceedings of APCCAS'94 - 1994 Asia Pacific Conference on Circuits and Systems

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