A Linear-Approach For 2-Dimensional, Frequency-Domain, Least-Square, Signal And System Modeling

    Authors

    W. B. Mikhael;H. P. Yu

    Comments

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    Abbreviated Journal Title

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

    Keywords

    TIME-VARYING SIGNALS; REPRESENTATION; FILTERS; SPEECH; Engineering, Electrical & Electronic

    Abstract

    A linear algorithm for two-dimensional (2-D) least square (LS) approximation in the frequency domain is presented. The algorithm is based on the equation error model. The approximation yields a 2-D rational function in the complex variables, or equivalently a 2-D autoregressive, moving-average (ARMA) process. The proposed two-dimensional, least square, frequency domain (2D-LS-FD) algorithm can efficiently represent 2-D signals or images. It is also capable of accurately modeling 2-D linear and shift invariant (LSI) stable systems, when the model has a sufficient order relative to the unknown and the identification noise is negligible. This paper will also discuss, with proofs, the important existence, uniqueness and convergence properties associated with this technique. Simulation examples for signal and system modeling are given to show the excellent performance of the algorithm. In addition, the successful application of the developed algorithm to image noise cancellation is also presented.

    Journal Title

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

    Volume

    41

    Issue/Number

    12

    Publication Date

    1-1-1994

    Document Type

    Article

    Language

    English

    First Page

    786

    Last Page

    795

    WOS Identifier

    WOS:A1994PZ77900002

    ISSN

    1057-7130

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