Title

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

Authors

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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