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TitleGroebner Bases and Multidimensional FIR Multirate Systems
Author(s) Ton Kalker, Hyungju Park, Martin Vetterli
TextH. Park, T. Kalker, and M. Vetterli, Groebner Bases and Multidimensional FIR Multirate Systems, Journal of multidimensional systems and signal processing, vol. 8, pp. 11-30, 1997.
TypeTechnical Report, Misc
AbstractThe polyphase representation with respect to sampling lattices in multidimensional (M-D) multirate signal processing allows us to identify perfect reconstruction (PR) filter banks with unimodular
Laurent polynomial matrices, and various problems in the design and analysis of invertible MD multirate systems can be algebraically formulated with the aid of this representation. While the resulting algebraic problems can be solved in one dimension (1-D) by the Euclidean Division
Algorithm, we show that Groebner bases offers an effective solution to them in the M-D case.
JournalJournal of multidimensional systems and signal processing
Pages11 - 30
Translation No
Refereed No