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Proceedings of 1994 28th Asilomar Conference on Signals, Systems and Computers (1994)
Pacific Grove, CA, USA
Oct. 31, 1994 to Nov. 2, 1994
ISSN: 1058-6393
ISBN: 0-8186-6405-3
pp: 363-367
B.L. Evans , Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA, USA
J. Teich , Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA, USA
T.A. Kalker , Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA, USA
ABSTRACT
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.<>
INDEX TERMS
matrix decomposition, multidimensional digital filters, discrete Fourier transforms, signal sampling, minimisation
CITATION

B. Evans, J. Teich and T. Kalker, "Families of Smith form decompositions to simplify multidimensional filter bank design," Proceedings of 1994 28th Asilomar Conference on Signals, Systems and Computers(ACSSC), Pacific Grove, CA, USA, 1995, pp. 363-367.
doi:10.1109/ACSSC.1994.471477
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