IJPAM: Volume 80, No. 2 (2012)

A GENERAL STRUCTURAL PROPERTY IN WAVELET
PACKETS FOR DETECTING OSCILLATION AND
NOISE COMPONENTS IN SIGNAL ANALYSIS

Paolo Mercorelli
Institute of Product and Process Innovation
Leuphana University of Lueneburg
Volgershall 1, D-21339 Lueneburg, GERMANY


Abstract. The paper presents a general structural mathematical property of the wavelet packets, which can be used in various industrial applications, such as the identification of signals, fault detection, harmonic detection, denoising and more in general oscillation detection. In particular, possible algorithms based on this mathematical property can find application and be implemented in wavelets-based outlier packages. Some of these algorithms are currently being integrated into the Inferential Model Platform of the Advanced Control and Simulation Solution Responsible Unit within ABB's Industry division.

Received: September 20, 2012

AMS Subject Classification: 94A12, 65T60, 60G35

Key Words and Phrases: signal analysis, wavelet packets, oscillations identification

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 80
Issue: 2