Families of Smith form decompositions to simplify multidimensional filter bank design
Brian L. Evans, Jürgen Teich, Ton Kalker · 2002
Imposing structure on the Smith form of an (integer) periodicity matrix N=U/spl Lambda/V leads to efficient m-D DFT implementations. For resampling matrices, i.e. non-singular rational matrices, the authors introduce Smith form decomposition algorithms to generate /spl Lambda/ matrices whose diagonal elements exhibit minimum variance and U matrices with minimum norm. Such structure simplifies non-uniform m-D filter bank design.>