Least square error optimal 2-D FIR filter design for nonsymmetric and symmetric specifications in discrete frequency domain

Author

Rajaravivarma, Rathika ; Rajan, P.K.

Author_Institution

Dept. of Inf. Sci., Morehead State Univ., KY, USA

Volume

39

Issue

12

fYear

1992

fDate

12/1/1992 12:00:00 AM

Firstpage

857

Lastpage

862

Abstract

The least square error optimal design of two-dimensional finite-impulse response (FIR) digital filters when the specifications are given in discrete frequency domain is examined in detail. Optimal filter impulse response is determined for the filter coefficients using the Parseval relation for two-dimensional discrete Fourier transform (DFT) arrays. Simplified expressions for the cases where the frequency response possesses quadrantal symmetry or antisymmetry are also derived

Keywords

Fourier transforms; filtering and prediction theory; frequency response; matrix algebra; two-dimensional digital filters; 2D digital filters; DFT arrays; FIR filter design; Parseval relation; antisymmetry; discrete frequency domain; filter coefficients; filter impulse response; finite-impulse response; frequency response; least square error optimal design; nonsymmetric specifications; quadrantal symmetry; symmetric specifications; two-dimensional discrete Fourier transform; Circuits; Closed-form solution; Digital signal processing; Discrete Fourier transforms; Finite impulse response filter; Frequency domain analysis; Frequency response; Least squares methods; Signal design; Two dimensional displays;

fLanguage

English

Journal_Title

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

Publisher

ieee

ISSN

1057-7130

Type

jour

DOI

10.1109/82.208577

Filename

208577