Imposing structure on Smith-form decompositions of rational resampling matrices

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
Hauptverfasser: Evans, B.L., Gardos, T.R., McClellan, J.H.
Format: Artikel
Sprache:eng
Schlagworte:
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
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Zusammenfassung: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).< >
ISSN:1053-587X
1941-0476
DOI:10.1109/78.285665