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Conference papers
Analyse et représentation de signaux transitoires : application à la compression, au débruitage et à la détection de ruptures
Abstract : Noise removal, detection of abrupt changes and compression are studied via an unusual approach of signal analysis and representation. Differential algebra, noncommutative algebra and operational calculus lead to quite efficient and simple identification methods for signals and systems, which may be stationary or not. We thus obtain real time estimators which 1) yield excellent approximations of the signal derivatives, 2) are robust with respect to a large variety of noises without any necessity of knowing their statistical properties, 3) depend on explicit algebraic formulae.
https://hal.inria.fr/inria-00001115
Contributor : Michel Fliess Connect in order to contact the contributor
Submitted on : Wednesday, February 15, 2006 - 10:31:34 PM
Last modification on : Friday, February 4, 2022 - 3:16:51 AM
Long-term archiving on: : Saturday, April 3, 2010 - 7:53:20 PM
Contributor : Michel Fliess Connect in order to contact the contributor
Submitted on : Wednesday, February 15, 2006 - 10:31:34 PM
Last modification on : Friday, February 4, 2022 - 3:16:51 AM
Long-term archiving on: : Saturday, April 3, 2010 - 7:53:20 PM