Weighted least-squares design technique for two-dimensional finite impulse response digital filters

Author

Smith, L. Montgomery

Author_Institution

Dept. of Electr. and Comput. Eng., Tennessee Univ. Space Inst., Tullahoma, TN, USA

Volume

42

Issue

4

fYear

1995

fDate

4/1/1995 12:00:00 AM

Firstpage

282

Lastpage

287

Abstract

A method for designing multidimensional finite impulse response digital filters with minimum weighted mean square error is presented. This technique allows for the design of filters with arbitrary desired frequency characteristics and frequency band weighting. The design equations consist of a system of linear equations with closed-form expressions for the matrix and vector elements. The design of one-dimensional multiband filters, two-dimensional circularly symmetric multiband filters and two-dimensional single-frequency-selective bandpass filters is described in detail to provide illustrative examples of the use of this method. Computer implementation of the design algorithm for these filter types is described and sample numerical results are presented

Keywords

FIR filters; band-pass filters; circuit CAD; filtering theory; least squares approximations; two-dimensional digital filters; 2D FIR digital filters; circularly symmetric multiband filters; computer implementation; design algorithm; finite impulse response filters; frequency band weighting; minimum weighted mean square error; single-frequency-selective bandpass filters; two-dimensional digital filters; weighted least-squares design technique; Band pass filters; Closed-form solution; Design methodology; Digital filters; Equations; Finite impulse response filter; Frequency; Mean square error methods; Multidimensional systems; Symmetric matrices;

fLanguage

English

Journal_Title

Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7130

Type

jour

DOI

10.1109/82.378043

Filename

378043