Design of 2D FIR digital filters by McClellan transformation and least squares eigencontour mapping

Author

Pei, Soo-Chang ; Shyu, Jong-Jy

Author_Institution

Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan

Volume

40

Issue

9

fYear

1993

fDate

9/1/1993 12:00:00 AM

Firstpage

546

Lastpage

555

Abstract

A powerful eigenfilter approach is proposed to determine the optimal coefficients of McClellan transformation. It can design arbitrary shape transformation contours to map from 1D prototypes to 2D FIR filters very effectively. This paper presents the design methods for 2D fan filters with general slope and inclination angle, elliptically symmetric filters of arbitrary orientation, circularly symmetric filters, and diamond-shaped filters. Several numerical examples are given to demonstrate the usefulness and the efficiency of the present method

Keywords

eigenvalues and eigenfunctions; least squares approximations; two-dimensional digital filters; 2D FIR digital filters; 2D fan filters; McClellan transformation; arbitrary shape transformation contours; circularly symmetric filters; design methods; diamond-shaped filters; eigenfilter approach; elliptically symmetric filters; inclination angle; least squares eigencontour mapping; optimal coefficients; slope; Circuits; Digital filters; Digital signal processing; Finite impulse response filter; Least squares methods; Prototypes; Shape; Signal design; Signal mapping; 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

10.1109/82.257332

Filename

257332