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Advances in Acoustics and Vibration
Volume 2008, Article ID 828562, 7 pages
Research Article

Statistical Signal Processing by Using the Higher-Order Correlation between Sound and Vibration and Its Application to Fault Detection of Rotational Machine

1Department of Circulation Information, Hiroshima National College of Maritime Technology, Toyota-gun, Hiroshima 725-0231, Japan
2Department of Management Information Systems, Prefectural University of Hiroshima, Hiroshima 734-8558, Japan

Received 27 June 2008; Revised 16 September 2008; Accepted 10 November 2008

Academic Editor: Fidel E. Hernandez Montero

Copyright © 2008 Hisako Masuike and Akira Ikuta. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In this study, a stochastic diagnosis method based on the changing information of not only a linear correlation but also a higher-order nonlinear correlation is proposed in a form suitable for online signal processing in time domain by using a personal computer, especially in order to find minutely the mutual relationship between sound and vibration emitted from rotational machines. More specifically, a conditional probability hierarchically reflecting various types of correlation information is theoretically derived by introducing an expression on the multidimensional probability distribution in orthogonal expansion series form. The effectiveness of the proposed theory is experimentally confirmed by applying it to the observed data emitted from a rotational machine driven by an electric motor.