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An algebraic derivative-based approach for the zero-crossings estimation

Giuseppe Fedele 1 Francesco Chiaravalloti 1 Cédric Join 2, 3
3 ALIEN - Algebra for Digital Identification and Estimation
Inria Lille - Nord Europe, Inria Saclay - Ile de France, Ecole Centrale de Lille, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR8146
Abstract : A new approach to the design of a zero-crossings estimation algorithm is proposed. The approach uses elementary differential algebraic operations in the frequency domain for accu- rate derivative estimation. Such estimates are composed of iterated integrals of noisy observed signal. A detector-signal, which is exactly equal to zero when there is no intersection between the observed signal and the real axis and is greater than zero when a zero-crossing occurs, is obtained. To justify the theoretical analysis and to investigate the performances of the developed method, simulated experiments are performed.
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https://hal.inria.fr/inria-00389872
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Submitted on : Friday, May 29, 2009 - 10:23:38 PM
Last modification on : Tuesday, November 24, 2020 - 2:18:21 PM
Long-term archiving on: : Friday, June 11, 2010 - 12:05:24 AM

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Giuseppe Fedele, Francesco Chiaravalloti, Cédric Join. An algebraic derivative-based approach for the zero-crossings estimation. 17th European Signal Processing Conference, EUSIPCO 2009, Aug 2009, Glasgow, United Kingdom. ⟨inria-00389872⟩

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