Analysis of alternative realizations of adaptive IIR filters

M. Nayeri, William Kenneth Jenkins

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    11 Scopus citations

    Abstract

    A general theory, based on an analysis of stationary points, presented which shows that whenever a direct-form IIR (infinite-impulse-response) filter with unimodal MSE (mean-squared-error) surface is transformed into an alternate realization, the MSE surface associated with the new structure may have additional stationary points, which are either new equivalent minima (and hence indistinguishable at the filter ouput), or saddle points, which are unstable solutions in the parameter space. The general theory is specialized to parallel and cascade forms. It is also shown that, for both the parallel and cascade forms, a gradient algorithm will find a global minimum as long as there is some noise present to jitter the solution away from the reduced-order manifolds which may contain saddle points. Experimental examples were presented to illustrate that the predicted behavior is indeed observed in practice.

    Original languageEnglish (US)
    Title of host publicationProceedings - IEEE International Symposium on Circuits and Systems
    PublisherPubl by IEEE
    Pages2157-2160
    Number of pages4
    ISBN (Print)9517212410
    StatePublished - Dec 1 1988

    Publication series

    NameProceedings - IEEE International Symposium on Circuits and Systems
    Volume3
    ISSN (Print)0271-4310

    All Science Journal Classification (ASJC) codes

    • Electrical and Electronic Engineering

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  • Cite this

    Nayeri, M., & Jenkins, W. K. (1988). Analysis of alternative realizations of adaptive IIR filters. In Proceedings - IEEE International Symposium on Circuits and Systems (pp. 2157-2160). (Proceedings - IEEE International Symposium on Circuits and Systems; Vol. 3). Publ by IEEE.