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

Giuseppe Fedele (1) , Francesco Chiaravalloti (1) , Cédric Join (2, 3)

1 Department of Electronics, Computer and System Science
2 CRAN - Centre de Recherche en Automatique de Nancy
3 ALIEN - Algebra for Digital Identification and Estimation

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.

Domaines: Automatique

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⟩