New insights in the analysis of polynomial adaptive filters

Charles W. Therrien, William Kenneth Jenkins

    Research output: Contribution to conferencePaper

    6 Scopus citations

    Abstract

    New results are reported on the structure of the correlation matrix for the data vector in Volterra second order adaptive filters for a general colored Gaussian input process. The structure becomes apparent when the input to the quadratic part of the filter is represented as a Kronecker product of the vector of terms to the linear part, and the redundant terms in the product are not removed. This approach leads to bounds on the eigenvalues of the correlation matrix which characterize the performance of LMS algorithms, and suggestions for possibly improved nonlinear adaptive filtering algorithms.

    Original languageEnglish (US)
    Pages382-385
    Number of pages4
    StatePublished - Jan 1 1996
    EventProceedings of the 1996 7th IEEE Digital Signal Processing Workshop - Loen, Norway
    Duration: Sep 1 1996Sep 4 1996

    Other

    OtherProceedings of the 1996 7th IEEE Digital Signal Processing Workshop
    CityLoen, Norway
    Period9/1/969/4/96

    All Science Journal Classification (ASJC) codes

    • Signal Processing
    • Electrical and Electronic Engineering

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  • Cite this

    Therrien, C. W., & Jenkins, W. K. (1996). New insights in the analysis of polynomial adaptive filters. 382-385. Paper presented at Proceedings of the 1996 7th IEEE Digital Signal Processing Workshop, Loen, Norway, .