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Imposing Structure on Smith-Form Decompositions of Rational Resampling Matrices
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| Organization: | University of Texas |
| Department: | Department of Electrical and Computer Engineering |
| Organization: | Georgia Tech |
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| IEEE Transactions on Signal Processing |
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Imposing structure on the Smith form of an (integer) periodicity matrix N=U Lambda V leads to efficient multidimensional (m-D) DFT implementations. For nonsingular integer and rational matrices, we introduce algorithms to generate U (or V) matrices with minimum norm and Lambda matrices whose diagonal elements exhibit minimum variance. Such structure simplifies nonuniform m-D filter-bank design.
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