State-space formulation of frequency transformation for 2-D digital filters

Author

Koshita, Shunsuke ; Kawamata, Masayuki

Author_Institution

Dept. of Electron. Eng., Tohoku Univ., Sendai, Japan

Volume

11

Issue

10

fYear

2004

Firstpage

784

Lastpage

787

Abstract

This letter proposes frequency transformation for two-dimensional (2-D) digital filters in terms of the state-space equations. In order to derive the 2-D state-space formulation of the frequency transformation, we extend Mullis and Roberts´ state-space formulation of one-dimensional frequency transformation to 2-D case. The proposed frequency transformation is very suitable for state-space analysis of the transformed filters since the resultant formulation consists of simple algebraic operations such as matrix addition, multiplication, inverse and so on. It can be easily implemented in MATLAB without any complicated algorithm.

Keywords

state-space methods; two-dimensional digital filters; 2-D digital filter; MATLAB; frequency transformation; state-space analysis; state-space equation; state-space formulation; transformed filter; Band pass filters; Digital filters; Equations; Frequency; MATLAB; Mathematical model; Prototypes; Signal processing algorithms; Transfer functions; Two dimensional displays; 2-D digital filter; frequency transformation; state-space equation;

fLanguage

English

Journal_Title

Signal Processing Letters, IEEE

Publisher

ieee

ISSN

1070-9908

Type

jour

DOI

10.1109/LSP.2004.835469

Filename

1336825