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

• This work describes an automatic method for removing modulated sinusoidal components in signals.
• Sinusoidal components are assumed to be both amplitude and frequency modulated.
• The method consists in using the Optimized Spectral Kurtosis for initializing Series of Extented Kalman Filters.
• The method is successfully used with experimental measures.

This work describes an automatic method for removing modulated sinusoidal components 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.