Imposing structure on Smith-form decompositions of rational resampling matrices
Imposing structure on the Smith form of an (integer) periodicity matrix N=U/spl Lambda/V 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...
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| Veröffentlicht in: | IEEE transactions on signal processing 1994-04, Vol.42 (4), p.970-973 |
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| container_end_page | 973 |
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| container_issue | 4 |
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| container_title | IEEE transactions on signal processing |
| container_volume | 42 |
| creator | Evans, B.L. Gardos, T.R. McClellan, J.H. |
| description | Imposing structure on the Smith form of an (integer) periodicity matrix N=U/spl Lambda/V 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 /spl Lambda/ matrices whose diagonal elements exhibit minimum variance. Such structure simplifies nonuniform m-D filter-bank design (Gardos et al. 1992).< > |
| doi_str_mv | 10.1109/78.285665 |
| format | Article |
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For nonsingular integer and rational matrices, the authors introduce algorithms to generate U (or V) matrices with minimum norm and /spl Lambda/ matrices whose diagonal elements exhibit minimum variance. 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For nonsingular integer and rational matrices, the authors introduce algorithms to generate U (or V) matrices with minimum norm and /spl Lambda/ matrices whose diagonal elements exhibit minimum variance. Such structure simplifies nonuniform m-D filter-bank design (Gardos et al. 1992).< ></abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/78.285665</doi><tpages>4</tpages></addata></record> |
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| ispartof | IEEE transactions on signal processing, 1994-04, Vol.42 (4), p.970-973 |
| issn | 1053-587X 1941-0476 |
| language | eng |
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| source | IEEE Electronic Library (IEL) |
| subjects | Applied sciences Convolution Detection, estimation, filtering, equalization, prediction Digital signal processing Exact sciences and technology Information, signal and communications theory Matrix decomposition Multidimensional signal processing Multidimensional systems Reduced instruction set computing Signal and communications theory Signal processing algorithms Signal sampling Signal, noise Speech processing Telecommunications and information theory Unmanned aerial vehicles |
| title | Imposing structure on Smith-form decompositions of rational resampling matrices |
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