Groebner bases and multidimensional FIR multirate systems

The 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 Gröbner bases offers an effective solution to them in the M-D case.


Published in:
Multidimensional Systems and Signal Processing, 8, 11-30
Year:
1997
Laboratories:




 Record created 2005-04-18, last modified 2018-03-17

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