About the cumulants of periodic signals

被引：4

作者：

Barrau, Axel ^{[1
]}

El Badaoui, Mohammed ^{[2
]}

机构：

[1] SAFRAN TECH, Grp Safran, Rue Jeunes Bois, F-78772 Magny Les Hameaux, France

[2] Univ Lyon, UJM St Etienne, LASPI, EA3059, F-42023 St Etienne, France

来源：

MECHANICAL SYSTEMS AND SIGNAL PROCESSING | 2018年 / 99卷

关键词：

Kurtosis; Health monitoring; Statistical independence; Source separation; JADE; INDEPENDENT COMPONENT ANALYSIS; ROLLING ELEMENT BEARINGS; SPECTRAL KURTOSIS; FAULT-DETECTION; IDENTIFICATION; DIAGNOSIS; GEAR; DECONVOLUTION; SEPARATION; MACHINES;

D O I：

10.1016/j.ymssp.2017.06.019

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This note studies cumulants of time series. These functions originating from the probability theory being commonly used as features of deterministic signals, their classical properties are examined in this modified framework. We show additivity of cumulants, ensured in the case of independent random variables, requires here a different hypothesis. Practical applications are proposed, in particular an analysis of the failure of the JADE algorithm to separate some specific periodic signals. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：684 / 690

页数：7

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