Significant atom determination of basis pursuit decomposition

L. J. Rankine, M. Mesbah

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Citations (Scopus)

Abstract

Atomic decomposition methods have been introduced as an alternative to classical signal representation. The use of redundant dictionaries in decomposition methods provides an adaptive signal processing technique. The choice of atoms to represent the signal of interest depends on the decomposition method chosen. In most cases, a highly sparse representation is desired. We examine basis pursuit (BP) decomposition of signals synthesised from elements not contained in the decomposition dictionary, real electroencephalogram (EEG) and whale signals in an effort to define significant atoms. Matching pursuit (MP) decomposition is then used as a reference for sparsity comparison with BP.

Original languageEnglish
Title of host publicationProceedings - 7th International Symposium on Signal Processing and Its Applications, ISSPA 2003
PublisherIEEE Computer Society
Pages573-576
Number of pages4
Volume1
ISBN (Print)0780379462, 9780780379466
DOIs
Publication statusPublished - 2003
Event7th International Symposium on Signal Processing and Its Applications, ISSPA 2003 - Paris, France
Duration: Jul 1 2003Jul 4 2003

Other

Other7th International Symposium on Signal Processing and Its Applications, ISSPA 2003
CountryFrance
CityParis
Period7/1/037/4/03

Fingerprint

Decomposition
Atoms
Glossaries
Electroencephalography
Signal processing

ASJC Scopus subject areas

  • Signal Processing

Cite this

Rankine, L. J., & Mesbah, M. (2003). Significant atom determination of basis pursuit decomposition. In Proceedings - 7th International Symposium on Signal Processing and Its Applications, ISSPA 2003 (Vol. 1, pp. 573-576). [1224768] IEEE Computer Society. https://doi.org/10.1109/ISSPA.2003.1224768

Significant atom determination of basis pursuit decomposition. / Rankine, L. J.; Mesbah, M.

Proceedings - 7th International Symposium on Signal Processing and Its Applications, ISSPA 2003. Vol. 1 IEEE Computer Society, 2003. p. 573-576 1224768.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Rankine, LJ & Mesbah, M 2003, Significant atom determination of basis pursuit decomposition. in Proceedings - 7th International Symposium on Signal Processing and Its Applications, ISSPA 2003. vol. 1, 1224768, IEEE Computer Society, pp. 573-576, 7th International Symposium on Signal Processing and Its Applications, ISSPA 2003, Paris, France, 7/1/03. https://doi.org/10.1109/ISSPA.2003.1224768
Rankine LJ, Mesbah M. Significant atom determination of basis pursuit decomposition. In Proceedings - 7th International Symposium on Signal Processing and Its Applications, ISSPA 2003. Vol. 1. IEEE Computer Society. 2003. p. 573-576. 1224768 https://doi.org/10.1109/ISSPA.2003.1224768
Rankine, L. J. ; Mesbah, M. / Significant atom determination of basis pursuit decomposition. Proceedings - 7th International Symposium on Signal Processing and Its Applications, ISSPA 2003. Vol. 1 IEEE Computer Society, 2003. pp. 573-576
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