The spectral kurtosis: a useful tool for characterising non-stationary signals

被引:1038
作者
Antoni, J [1 ]
机构
[1] Univ Technol Compiegne, CNRS, UMR 6066, Lab Roberval Mecan, F-60206 Compiegne, France
关键词
spectral kurtosis; non-stationary processes; Wold-Cramer decomposition; transients detection;
D O I
10.1016/j.ymssp.2004.09.001
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
The spectral kurtosis (SK) is a statistical tool which can indicate the presence of series of transients and their locations in the frequency domain. As such, it helpfully supplements the classical power spectral density, which as is well known, completely eradicates non-stationary information. In spite of being particularly suited to many detection problems, the SK had rarely been used before now, probably because it lacked a formal definition and a well-understood estimation procedure. The aim of this paper is to partly fill these gaps. We propose a formalisation of the SK by means of the Wold-Cramer decomposition of "conditionally non-stationary" processes. This definition then engenders many useful properties enjoyed by the SK. In particular, we establish to which extent the SK is capable of detecting transients in the presence of strong additive noise by finding a closed-form relationship in terms of the noise-to-signal ratio. We finally propose a short-time Fourier-transform-based estimator of the SK which helps to link theoretical concepts with practical applications. This paper is also a prelude to a second paper where the SK is shown to find successful applications in vibration-based condition monitoring. (c) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码:282 / 307
页数:26
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