✦ LIBER ✦

FRACTAL APPROACH FOR SIGNAL PROCESSING AND APPLICATION TO THE DIAGNOSIS OF CAVITATION

✍ Scribed by PATRICE SIMARD; EMMANUEL LE TAVERNIER

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 292 KB
Volume: 14
Category: Article
ISSN: 0888-3270
DOI: 10.1006/mssp.1999.1245

No coin nor oath required. For personal study only.

✦ Synopsis

The 1/ f noises [1] are turbulent signals that are found in many physical processes. Their name comes from the decreasing law of the spectral density irrespective of the de"nition used. One of the most famous 1/ f noise models is the fractional Brownian motion de"ned by Mandelbrot and Van Ness [2]. Their analysis requires the use of non-classical analysis method as, for example, the fractal theory. In this paper, we "rst give some results from this theory and discuss the tools that can be used. This analysis is then carried out on signals obtained on a centrifugal pump where cavitation phenomenon occurs. The spectrum analysis of these signals reveals the presence of 1/ f noise. A fractal study is then carried out with the help of the Higuchi method. The results highlight the sensitivity of the fractal dimension parameter to the degree of cavitation in the pump.

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