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

Shunsuke Koshita, Masayuki Kawamata

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


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 languageEnglish
Pages (from-to)784-787
Number of pages4
JournalIEEE Signal Processing Letters
Issue number10
Publication statusPublished - 2004 Oct
Externally publishedYes

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering
  • Applied Mathematics


Dive into the research topics of 'State-space formulation of frequency transformation for 2-D digital filters'. Together they form a unique fingerprint.

Cite this