A new method for the design of two-dimensional recursive digital filters

Author

Le, J.-H. ; Chen, Yih-Min

Author_Institution

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

Volume

36

Issue

4

fYear

1988

fDate

4/1/1988 12:00:00 AM

Firstpage

589

Lastpage

598

Abstract

A method for designing general two-dimensional digital recursive filters is presented. This method involves an iterative optimization procedure that is based on a modified Marquardt algorithm. The error function to be minimized is composed of the real part and imaginary part of the frequency response error and of stability error that is computed in the spatial domain. Analytic formulas for the derivatives of error function with respect to filter coefficients are derived, so the error derivatives requires in the optimization procedure can be calculated analytically rather than numerically. This results in saving design time significantly. Several examples that demonstrate the capability and the efficiency of this method are given

Keywords

iterative methods; optimisation; two-dimensional digital filters; 2D recursive digital filters; design; error derivatives; error function; filter coefficients; frequency response error; iterative optimization; modified Marquardt algorithm; spatial domain; stability error; Algorithm design and analysis; Cepstral analysis; Design methodology; Digital filters; Fast Fourier transforms; Finite impulse response filter; Frequency response; Iterative methods; Stability analysis; Testing;

fLanguage

English

Journal_Title

Acoustics, Speech and Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

0096-3518

Type

jour

DOI

10.1109/29.1561

Filename

1561