The use of wavelet packets for event detection

Marwa Chendeb (1) , Mohamad Khalil (2) , Jacques Duchene (1)

1 M2S - Modélisation et Sûreté des Systèmes
2 Université Libanaise

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.

Domains: Signal and Image processing

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⟩