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

Shunsuke Koshita; Masayuki Kawamata

doi:10.1109/LSP.2004.835469

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

Shunsuke Koshita, Masayuki Kawamata

ENG - Electronic Engineering

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

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.

Original language	English
Pages (from-to)	784-787
Number of pages	4
Journal	IEEE Signal Processing Letters
Volume	11
Issue number	10
DOIs	https://doi.org/10.1109/LSP.2004.835469
Publication status	Published - 2004 Oct 1

ASJC Scopus subject areas

Signal Processing
Electrical and Electronic Engineering
Applied Mathematics

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AB - 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.

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