On the Statistical Nature of Real Sinusoids Associated with Rotating Machinery

✍ Scribed by Peter Sherman

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 461 KB
• Volume: 12
• Category: Article
• ISSN: 1051-2004
• DOI: 10.1006/dspr.2001.0404

✦ Synopsis

This paper represents the first phase of an ongoing investigation into the nature of sinusoidal types of random processes associated with real world phenomena. While perfect sinusoids exist only in the mathematical sense, their use as an approximation model in relation to real world phenomena has been and continues to be widespread, often with much value. The motivation for this work is the belief that knowledge of their deviation from such a model can provide additional useful information. The focus of this paper is on sinusoids in relation to random processes associated with rotating machinery. The tools used include mathematical limit theorem results, standard signal processing tools including spectral estimation and Kalman filtering, and basic statistics. Some noteworthy results include the normality of amplitude and frequency probability distributions, the characterization of the same as stationary random processes, and the potential to improve condition monitoring of rotating machinery.  2002 Elsevier Science (USA)