用算子代数对角化随机信号的柯西小波自相关函数

Proceedings of Third International Symposium on Time-Frequency and Time-Scale Analysis (TFTS-96) Pub Date : 1996-06-18 DOI:10.1109/TFSA.1996.546692

F. Sakaguchi

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摘要

如前所述，一类算子的特征函数系统与过完备柯西小波系统相同。本文研究了该算子及其伴随算子之间的重排序问题。然后，将该重排序问题应用于随机过程自相关函数的伪对角化问题。

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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Diagonalization of the auto-correlation functions of random signals in terms of Cauchy wavelets using operator algebra

The eigenfunction system of a kind of operator is identical to the over-complete Cauchy wavelet system, as has been shown previously. In this presentation, the re-ordering problem among this operator and its adjoint is investigated. Then, an application of this re-ordering problem to the pseudo-diagonalization problem of the autocorrelation function of a stochastic process is proposed.

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Proceedings of Third International Symposium on Time-Frequency and Time-Scale Analysis (TFTS-96)

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