Imposing structure on Smith-form decompositions of rationalresampling matrices
Evans, B.L.; Gardos, T.R.; McClellan, J.H.
Signal Processing, IEEE Transactions on
Volume 42, Issue 4, Apr 1994 Page(s):970 - 973
Digital Object Identifier   10.1109/78.285665
Summary:Imposing structure on the Smith form of an (integer) periodicity matrix N=UΛV leads to efficient multidimensional (m-D) DFT implementations (Guessoum, 1984). For nonsingular integer and rational matrices, the authors introduce algorithms to generate U (or V) matrices with minimum norm and Λ matrices whose diagonal elements exhibit minimum variance. Such structure simplifies nonuniform m-D filter-bank design (Gardos et al. 1992)

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