Title :
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
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;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2004.835469
