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The use of wavelet packets for event detection

Marwa Chendeb 1 Mohamad Khalil 2 Jacques Duchene 1 
1 M2S - Modélisation et Sûreté des Systèmes
ISTIT - Institut des Sciences et Technologies de l'Information de Troyes
Abstract : In this paper, we propose a best basis selection method to choose a set of packets from a wavelet packet tree. Our goal is to obtain packets that show changes in both energy and frequency. The criterion adapted to choose the best basis is the Kullback-Leibler Distance (KLD). When there is no event to be detected, the estimated KLD follows roughly an exponential distribution depending on only one parameter: the length of the windows partitioning the signal. When events are detected in a packet, the distribution of the estimated KLD deviates from the exponential distribution. The statistics Kolmogorov-Smirnov are used to measure the separation between experimental and theoretical cumulative distributions in order to highlight the presence of ruptures, then to select the most relevant packets.
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Submitted on : Friday, November 15, 2019 - 1:46:52 PM
Last modification on : Wednesday, August 31, 2022 - 6:55:01 PM


  • HAL Id : hal-02365413, version 1



Marwa Chendeb, Mohamad Khalil, Jacques Duchene. The use of wavelet packets for event detection. 2005 13th European Signal Processing Conference, Sep 2005, Antalya, Turkey. ⟨hal-02365413⟩



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