Title

Weighted least mean square design of 2-d fir digital filters: the general case

Document Type

Article

Publication Date

12-1-1996

Abstract

This paper solves the weighted least mean square (WLMS) design of two-dimensional (2-D) finite impulse response (FIR) filters with general half plane symmetric frequency responses and nonnegative weighting functions. The optimal solution is characterized by a pair of coupled integral equations and the existence and uniqueness of the WLMS solution for 2-D FIR filter design are established. Two efficient numerical algorithms using a 2-D fast Fourier transform (FFT) are proposed to solve the WLMS solution. One is based on the contraction mapping and fix point theorem characterizing the coupled integral equation; the other uses conjugate gradient techniques which guarantees Unite convergence. The associated computational complexity is analyzed and compared with existing algorithms. Examples are used to illustrate the effectiveness of the proposed design algorithms. The selection of weighting functions to improve the minima performance of the filter is also discussed. © 1996 IEEE.

Publication Source (Journal or Book title)

IEEE Transactions on Signal Processing

First Page

2568

Last Page

2578

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