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

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 t...

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Bibliographic Details
Published in:IEEE signal processing letters 2004-10, Vol.11 (10), p.784-787
Main Authors: Koshita, S., Kawamata, M.
Format: Article
Language:English
Subjects:
Algorithms
Band pass filters
Digital filters
Equations
Formulations
Frequency
Inverse
Mathematical analysis
Mathematical model
MATLAB
Prototypes
Resultants
Signal processing algorithms
Transfer functions
Transformations
Two dimensional displays
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Summary: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.
ISSN:1070-9908
1558-2361
DOI:10.1109/LSP.2004.835469