Systematic Derivation of Input-Output Relation for 2-D Periodically Time-Variant Digital Filters with an Arbitrary Periodicity

Toshiyuki YOSHIDA
Yoshinori SAKAI

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E81-A    No.8    pp.1699-1702
Publication Date: 1998/08/25
Online ISSN: 
DOI: 
Print ISSN: 0916-8508
Type of Manuscript: Special Section LETTER (Special Section on Digital Signal Processing)
Category: 
Keyword: 
digital filters,  multidimensional filters,  time-variant filters,  periodicity,  

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Summary: 
The authors have proposed a design method for two-dimensional (2-D) separable-denominator (SD) periodically time-variant digital filters (PTV DFs) and confirmed their superiority over 2-D time-invariant DFs. In that result, the periodicity matrix representing the periodicity of the varying filter coefficients is, however, restricted to two cases. This paper extends that idea so that the input-output relation of 2-D SD PTV DFs with an arbitrary periodicity matrix can be determined. This enables us to design wide range of 2-D PTV DFs.