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首页> 外文期刊>Mechanical systems and signal processing >CS2 analysis in presence of non-Gaussian background noise - Effect on traditional estimators and resilience of log-envelope indicators
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CS2 analysis in presence of non-Gaussian background noise - Effect on traditional estimators and resilience of log-envelope indicators

机译：存在非高斯背景噪声的CS2分析-对传统估计量的影响和对数包络指标的弹性

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Second-order cyclostationary (CS2) analysis has become popular in the field of machine diagnostics and a series of digital signal processing techniques have been developed to extract CS2 components from the background noise. Among those techniques, squared envelope spectrum (SES) and cyclic modulation spectrum (CMS) have gained popularity thanks to their high computational efficiency and simple implementation. The effectiveness of CMS and SES has been previously quantified based on the hypothesis of Gaussian background noise and has led to statistical tests for the presence of CS2 peaks in squared envelope spectra and cyclic modulation spectra. However a recently established link of CMS with SES and of SES with kurtosis has exposed a potential weakness of those indicators in the case of highly leptokurtic background noise. This case is often present in practice when the machine is subjected to highly impulsive phenomena, either due to harsh operating conditions or to electric noise generated by power electronics and captured by the sensor. This study investigates and quantifies for the first time the effect of leptokurtic noise on the capabilities of SES and CMS, by analysing three progressively harsh situations: high kurtosis, infinite kurtosis and alpha-stable background noise (for which even first and second-order moments are not defined). Then the resilience of a recently proposed family of CS2 indicators, based on the log-envelope, is verified analytically, numerically and experimentally in the case of highly leptokurtic noise.
机译：二阶循环平稳（CS2）分析在机器诊断领域变得很流行，并且已经开发了一系列数字信号处理技术来从背景噪声中提取CS2分量。在这些技术中，平方包络频谱（SES）和循环调制频谱（CMS）由于其高计算效率和简单实现而获得了普及。 CMS和SES的有效性先前已经基于高斯背景噪声的假设进行了量化，并导致对平方包络谱和循环调制谱中CS2峰的存在进行统计测试。但是，最近建立的CMS与SES以及峰度与SES的联系已经暴露出在高脂蛋白背景噪声情况下这些指标的潜在弱点。实际上，在这种情况下，由于恶劣的运行条件或由于电力电子设备产生的并由传感器捕获的电噪声而导致机器遭受高度脉冲现象时，通常会出现这种情况。这项研究通过分析三种渐进苛刻的情况：高峰度，无限峰度和α稳定背景噪声（即使是一阶和二阶矩），也首次调查并量化了脂蛋白噪声对SES和CMS功能的影响。未定义）。然后，在对数噪声较大的情况下，基于对数包络对最近提出的CS2指标系列的弹性进行了分析，数值和实验验证。

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