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

Author

Rajaravivarma, Rathika ; Rajan, P.K.

Author_Institution

Dept. of Electr. Eng., Tennessee Technol. Univ., Cookeville, TN, USA

Volume

3

fYear

1992

fDate

10-13 May 1992

Firstpage

1408

Abstract

The least square error optimal design of two-dimensional FIR (finite impulse response) digital filters when the specifications are given in the discrete frequency domain is examined in detail. Employing Parseval´s relation for 2-D DFT (discrete Fourier transform) arrays, optimal filter impulse response is determined for the filter coefficients. Simplified expressions for the cases where the frequency response possesses quadrantal symmetry are also derived

Keywords

frequency response; frequency-domain synthesis; least squares approximations; low-pass filters; transient response; two-dimensional digital filters; 2D FIR filter design; 2D discrete Fourier transform arrays; Parseval relation; circularly symmetric lowpass filter; discrete frequency domain circuits; frequency response; least square error optimal design; nonsymmetric specification; optimal filter impulse response; quadrantal symmetry; symmetric specifications; Digital filters; Discrete Fourier transforms; Finite impulse response filter; Frequency domain analysis; Frequency response; Least squares methods; Manufacturing; Mean square error methods; Symmetric matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1992. ISCAS '92. Proceedings., 1992 IEEE International Symposium on

Conference_Location

San Diego, CA

Print_ISBN

0-7803-0593-0

Type

conf

DOI

10.1109/ISCAS.1992.230239

Filename

230239