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基于多重分形分析的故障诊断
引用本文:岳建海,董科强,赵晓军.基于多重分形分析的故障诊断[J].科学技术与工程,2010,10(9).
作者姓名:岳建海  董科强  赵晓军
作者单位:1. 北京交通大学机械与电子控制工程学院,北京,100044
2. 北京交通大学理学院,北京,100044
摘    要:引入一种新的时间序列的重分形性——Hlder指数定义,并给出其计算方法。这种方法不仅具有易计算和计算量小的特点,而且可以做到实时计算,可以满足现有设备对故障诊断的实时性的要求。Hlder指数方法通过引入两个参数,可以调整其时间序列的Hlder指数的灵敏度,根据具体情况进行调整,使得各种情况下的重分形性得到较精确地刻划。

关 键 词:故障诊断  Hlder指数  分形  时间序列  
收稿时间:1/20/2010 8:42:23 AM
修稿时间:3/5/2010 9:42:25 AM

Fault Diagnosis Based on analysis of multifractal
yuejianhai,dongkeqiang and zhaoxiaojun.Fault Diagnosis Based on analysis of multifractal[J].Science Technology and Engineering,2010,10(9).
Authors:yuejianhai  dongkeqiang and zhaoxiaojun
Institution:School of Mechanical/a>;Electronic and Control Engineering/a>;Department of Mathematics/a>;School of Science/a>;Beijing Jiaotong University/a>;Beijing 100044/a>;P.R.China
Abstract:This paper proposes a novel measure, called the Hölder exponent, which is based on the multifractal time series analysis. Due to the simplicity and rapidity of calculation, the new method is suitable for demand of real-time in fault diagnosis. By tuning the sensibility of Hölder exponent for a time series, the method captures the concise multifractal properties in any circumstances with two parameters.
Keywords:
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