Notes on factor prime factorizations for n-D polynomial matrices

Multidimensional (n−D) polynomial matrix factorizations have been widely investigated during the past years due to the fundamental importance in the areas of multidimensional systems and signal processing. This note is a continuation of the papers in Wang (Circuits Syst I 54: 1398–1405, 2007 and Circuits Syst II 55: 61–64, 2008). A complete constructive criterion is given for a matrix of 2 × m full row rank to be FLP. We also present a reduction method for dealing with the factorization problems with cases of non-regular divisors.

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