Basis pursuit

Basis pursuit

The time-frequency and time-scale communities have recently developed an enormous number of over-complete signal dictionaries, wavelets, wavelet packets, cosine packets, Wilson bases, chirplets, warped bases, and hyperbolic cross bases being a few examples. Basis pursuit is a technique for decomposi...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Shaobing Chen, Donoho, D.
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Chirp
Dictionaries
Explosions
Matching pursuit algorithms
Signal representations
Signal resolution
Stability
Statistics
Time frequency analysis
Wavelet packets
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Beschreibung
Zusammenfassung:The time-frequency and time-scale communities have recently developed an enormous number of over-complete signal dictionaries, wavelets, wavelet packets, cosine packets, Wilson bases, chirplets, warped bases, and hyperbolic cross bases being a few examples. Basis pursuit is a technique for decomposing a signal into an "optimal" superposition of dictionary elements. The optimization criterion is the l/sup 1/ norm of coefficients. The method has several advantages over matching pursuit and best ortho basis, including super-resolution and stability.< >
ISSN:1058-6393
2576-2303
DOI:10.1109/ACSSC.1994.471413