Adapted Bases of Time-Frequency Local Cosines

Adapted Bases of Time-Frequency Local Cosines

We develop and analyze a best basis algorithm for orthonormal bases of local cosines which satisfy a uniform bound on their time-frequency concentration. All waveforms are obtained from three elementary window functions by shifts, rescaling, and modulation. For a discrete signal of length N, the com...

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Veröffentlicht in:Applied and computational harmonic analysis 2001-03, Vol.10 (2), p.139-162
1. Verfasser: Villemoes, Lars F
Format: Artikel
Sprache:eng
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Zusammenfassung:We develop and analyze a best basis algorithm for orthonormal bases of local cosines which satisfy a uniform bound on their time-frequency concentration. All waveforms are obtained from three elementary window functions by shifts, rescaling, and modulation. For a discrete signal of length N, the complexity is of order N(log N) 2.
ISSN:1063-5203
1096-603X
DOI:10.1006/acha.2000.0335