Design of 1-D and 2-D IIR eigenfilters

Author

Pei, Soo-Chang ; Shyu, Jong-Jy

Author_Institution

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

Volume

42

Issue

4

fYear

1994

fDate

4/1/1994 12:00:00 AM

Firstpage

962

Lastpage

966

Abstract

An effective method is proposed for the design of recursive digital filters in the time/spatial domain. The method is based on the computation of an eigenvalue and its corresponding eigenvector of an appropriate real symmetric and positive-definite matrix derived from the objective error function of the impulse response in the least-squares sense. The method can be used to design 1D IIR digital filters as well as 2D IIR digital filters. The method is easy and the performance is comparable to those of the existing methods. One of the main advantages of the proposed method is that the solution is obtained directly without the need for iteration

Keywords

digital filters; eigenvalues and eigenfunctions; filtering and prediction theory; time-domain synthesis; two-dimensional digital filters; 1D IIR digital filters; 1D IIR eigenfilters; 2D IIR digital filters; 2D IIR eigenfilters; design; eigenvalue; eigenvector; impulse response; least-squares; objective error function; performance; positive-definite matrix; recursive digital filters; spatial domain; time domain; Digital filters; Eigenvalues and eigenfunctions; Finite impulse response filter; Fourier transforms; Frequency measurement; Frequency response; IIR filters; Signal processing; Stability; Symmetric matrices;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.285662

Filename

285662