Gröbner Bases for Problem Solving in Multidimensional Systems

Authors:
C. Charoenlarpnopparut;N. K. Bose
Affiliations:
121 Electrical Engineering East, The Pennsylvania State University, University Park, PA 16802, USA;121 Electrical Engineering East, The Pennsylvania State University, University Park, PA 16802, USA nkb@stspbkn.ee.psu.edu
Venue:
Multidimensional Systems and Signal Processing
Year:
2001

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Abstract

The objective here is to underscore recent usage of the algorithmic theory of Gröbner bases in multidimensional systems since that possibility was highlighted about fifteen years back. The main contribution here focuses on the constructive aspects of the solution, known to exist, of the two-band multidimensional IIR perfect reconstruction problem using Gröbner bases. Other recent research results on the subject with future prospects are also briefly cited.