一类无限维系统的有理小波分解与有限维逼近

[1992] Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis Pub Date : 1992-10-04 DOI:10.1109/TFTSA.1992.274204

Y. C. Pati, P. Krishnaprasad

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引用次数: 0

摘要

研究了Hardy空间H/sup 2/(Pi /sup +/)的框架分解，作为构造一类非理性传递函数的有理逼近的一种方法。感兴趣的帧是通过单个实有理分析小波的扩展和平移来生成的。在构造低阶有理近似时，利用了时频局域表示的紧性

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Rational wavelet decompositions and finite-dimensional approximations of a class of infinite-dimensional systems

Frame decompositions of the Hardy space H/sup 2/( Pi /sup +/) are investigated as a means of constructing rational approximations to a class of nonrational transfer functions. The frames of interest are generated via dilations and translations of a single real-rational analyzing wavelet. The compactness of the time-frequency localized representation is exploited in constructing low-order rational approximants.<>

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

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