Residual Error Formulation And Adaptive Minimization For Representing Nonstationary Signals Using Mixed Transforms

    Authors

    W. B. Mikhael;A. Ramaswamy

    Comments

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    Abbreviated Journal Title

    IEEE Trans. Circuits Syst. II-Analog Digit. Signal Process.

    Keywords

    Engineering, Electrical & Electronic

    Abstract

    A technique is proposed for signal representation using superimposed partial sets of different transforms which are, in general, nonorthogonal to each other. The method is developed to maximize the signal to Boise ratio SNR of the reconstructed signal for a given total number of transform coefficients. First, the residual error, which is the difference between the original signal and the reconstructed signal, is properly formulated. Then, two gradient techniques, in conjunction with an optimization strategy, are developed to minimize the residual error. Sample results using this approach for representing synthetic signals and speech signals employing mixed Fourier/Walsh and Fourier/Haar transforms are given to illustrate the efficiency and accuracy of the proposed method.

    Journal Title

    Ieee Transactions on Circuits and Systems Ii-Analog and Digital Signal Processing

    Volume

    39

    Issue/Number

    7

    Publication Date

    1-1-1992

    Document Type

    Letter

    Language

    English

    First Page

    489

    Last Page

    492

    WOS Identifier

    WOS:A1992JU03500011

    ISSN

    1057-7130

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