论有理矩阵函数的精确谱因式分解及其在准单元滤波器库中的应用

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-07-31 DOI:10.1007/s00041-024-10100-3

Lasha Ephremidze, Gennady Mishuris, Ilya M. Spitkovsky

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引用次数: 0

摘要

在本文中，我们改进了一种最新的矩阵函数近似谱因式分解算法，将其功能扩展到在有精确的下上三角因式分解时精确分解有理矩阵。这种新方法利用了改进算法的一个基本组成部分，用于精确设计有理准单元滤波器组，允许预先确定零点和极点的位置。引入的算法不仅推动了谱因式分解技术的发展，而且为具有特定谱特性的准单位滤波器的定制设计开辟了新途径，为信号处理及其他领域的应用提供了巨大潜力。

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On the Exact Spectral Factorization of Rational Matrix Functions with Applications to Paraunitary Filter Banks

In this paper, we enhance a recent algorithm for approximate spectral factorization of matrix functions, extending its capabilities to precisely factorize rational matrices when an exact lower-upper triangular factorization is available. This novel approach leverages a fundamental component of the improved algorithm for the precise design of rational paraunitary filter banks, allowing for the predetermined placement of zeros and poles. The introduced algorithm not only advances the state-of-the-art in spectral factorization but also opens new avenues for the tailored design of paraunitary filters with specific spectral properties, offering significant potential for applications in signal processing and beyond.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.