Design of Multidimensional Separable-Denominator DigitalFilters in the Spatial Domain

Authors:
Takao Hinamoto;Akimitsu Doi;Ken-Ichi Harada
Affiliations:
Faculty of Engineering, Hiroshima University, Higashi-Hiroshima 739, Japan. E-mail: hinamoto@ecl.sys.hiroshima-u.ac.jp;Faculty of Engineering, Hiroshima University, Higashi-Hiroshima 739, Japan. E-mail: hinamoto@ecl.sys.hiroshima-u.ac.jp;Faculty of Engineering, Hiroshima University, Higashi-Hiroshima 739, Japan. E-mail: hinamoto@ecl.sys.hiroshima-u.ac.jp
Venue:
Multidimensional Systems and Signal Processing
Year:
1997

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Abstract

Based on a concept of minimal decomposition and balancedrealization, a novel technique is developed for designing multidimensional(M-D) separable-denominator digital filters inthe spatial domain. This is done by decomposing a desired M-DFIR filter into M parts and by representing it bya cascade connection of M 1-D filters. The minimaldecomposition treated here can be viewed as an extension of thatin 2-D separable-denominator case in some sense. However, theproposed technique differs from the existing one even in 2-Dcase and is simpler. Two numerical examples are also given toillustrate the utility of the proposed technique. The amountof calculation required here is relatively small and the stabilityof the filter is always guaranteed.