Title

Weighted Least Mean Square Design of 2-D FIR Digital Filters

Document Type

Article

Publication Date

1-1-1994

Abstract

This paper is concerned with weighted least mean square design of two-dimensional (2-D) zero-phase FIR filters with quadrantally symmetric and antisymmetric frequency responses. The optimal solutions are first characterized by certain integral equations, and the existence, and uniqueness of the weighted least mean square solution for 2-D FIR filter design are then established using contraction mapping, and fixed point theorem [13]. Explicit solution in closed form for discretized weighted least mean square error is obtained for 2-D zero-phase FIR filters, which can be considered as an extension of [15], [1], Further, two numerical algorithms are proposed to iteratively solve the weighted least mean square solution. Convergence of the iterative algorithms is established, and estimates of the convergence rate are also derived. Examples are used to illustrate the effectiveness of the proposed design algorithms. © 1994 IEEE

Publication Source (Journal or Book title)

IEEE Transactions on Signal Processing

First Page

3178

Last Page

3187

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