Adaptive, Frequency Domain, 2-D Modeling Using Spatiotemporal Signals

    Authors

    W. B. Mikhael;H. P. Yu

    Comments

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    Abbreviated Journal Title

    J. Circuits Syst. Comput.

    Keywords

    Computer Science, Hardware & Architecture; Engineering, Electrical &; Electronic

    Abstract

    In this paper, an adaptive, frequency domain, steepest descent algorithm for two-dimensional (2-D) system modeling is presented. Based on the equation error model, the algorithm, which characterizes the 2-D spatially linear and invariant unknown system by a 2-D auto-regressive, moving-average (ARMA) process, is derived and implemented in the 3-D spatiotemporal domain. At each iteration, corresponding to a given pair of input and output 2-D signals, the algorithm is formulated to minimize the error-function's energy in the frequency domain by adjusting the 2-D ARMA model parameters. A signal dependent, optimal convergence factor, referred to as the homogeneous convergence factor, is developed. It is the same for all the coefficients but is updated once per iteration. The resulting algorithm is called the Two-Dimensional, Frequency Domain, with Homogeneous mu*, Adaptive Algorithm (ZD-FD-HAA). In addition, the algorithm is implemented using the 2-D Fast Fourier Transform (FFT) to enhance the computational efficiency. Computer simulations demonstrate the algorithm's excellent adaptation accuracy and convergence speed. For illustration, the proposed algorithm is successfully applied to modeling a time varying 2-D system.

    Journal Title

    Journal of Circuits Systems and Computers

    Volume

    6

    Issue/Number

    4

    Publication Date

    1-1-1996

    Document Type

    Article

    Language

    English

    First Page

    351

    Last Page

    358

    WOS Identifier

    WOS:A1996VR40400002

    ISSN

    0218-1266

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