Tracking and removing modulated sinusoidal components: A solution based on the kurtosis and the Extended Kalman Filter

Jean-Luc Dion (1, 2) , Cyrille Stephan (3) , Gaël Chevallier (1, 2) , Hugo Festjens (1, 2)

1 LISMMA - Laboratoire d'Ingénierie des Systèmes Mécaniques et des MAtériaux
2 SUPMECA - SUPMECA - Institut supérieur de mécanique de Paris
3 ONERA - The French Aerospace Lab [Châtillon]

This work describes an automatic method for removing modulated sinusoidal compo- nents in signals. The method consists in using the Optimized Spectral Kurtosis for initializing Series of Extended Kalman Filters. The first section is an introduction to vibration applications with Kalman Filters and modulated sinusoids. The detection process with OSK is described in the second section. The third section concerns the tracking algorithm with SEKF for amplitude and frequency modulated sinusoidal components. The last section deals with the complete process illustrated with an experimental application on a rotating machine.

Domaines: Sciences de l'ingénieur [physics]

Jean-Luc Dion, Cyrille Stephan, Gaël Chevallier, Hugo Festjens. Tracking and removing modulated sinusoidal components: A solution based on the kurtosis and the Extended Kalman Filter. Mechanical Systems and Signal Processing, 2013, 38 (2), pp.428-439. ⟨10.1016/j.ymssp.2013.04.001⟩. ⟨hal-01911012⟩