OATAO - Open Archive Toulouse Archive Ouverte Open Access Week

Consequences of non-respect of the Bedrosian theorem when demodulating

Pachaud, Christian and Gerber, Timothée and Firla, Marcin and Martin, Nadine and Mailhes, Corinne Consequences of non-respect of the Bedrosian theorem when demodulating. (2013) In: 10th International Conference on Condition Monitoring and Machinery Failure Prevention Technologies (CM & MFPT 2013), 18 June 2013 - 20 June 2013 (Krakow, Poland).

(Document in English)

PDF (Author's version) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader


Vibration data acquired during system monitoring periods are rich in harmonics characterizing the presence of several mechanical parts in the system. Periodic variations of the torque or of the load create modulation side-bands around those harmonics. Even if the energy impact of the side-bands is small compared to the total energy of the signal, they are strong indicators of failures in mechanical systems. Unfortunately, these effects are of little concern in most of condition monitoring systems. When considering the problem with a signal processing point of view, a demodulation of those side-bands allows a time visualization of the modulating functions which are a precise image of the torque or the load variations. This demodulation can be done on the analytical signal directly derived from the original data. But to do that, data and specifically its spectrum should respect some constraints. The purpose of this paper is to underline those constraints, often forgotten. In particular, the respect of the non-overlapping condition in the Bedrosian theorem is discussed for signals and modulation rates that can be encountered on rotating machines. The respect of the constraints depends on the monitored phenomenon (e.g., gearmesh, rotating shaft), the modulation phenomenon (e.g., belt frequency, rotor current) and the type of medium (e.g., vibrations, electrical current). In the case where the constraints are not satisfied, we explain the consequences in terms of signal processing. These results are illustrated by two industrial case studies.

Item Type:Conference or Workshop Item (Paper)
Additional Information:Thanks to British Institute of Non-Destructive Testing (BINDT) editor. This papers appears in Proceedings of 10th International Conference on Condition Monitoring and Machinery Failure Prevention Technologies ISBN: 978-1629939926 The proceedings can be found at: http://www.proceedings.com/21456.html
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Other partners > Université Grenoble Alpes - UGA (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Other partners > Laboratoire de recherche en télécommunications spatiales et aéronautiques - TéSA (FRANCE)
Laboratory name:
Deposited On:04 Jan 2017 13:24

Repository Staff Only: item control page