DocumentCode :
1346981
Title :
An introduction to complexity measure: Non-linear statistical parameters in measurements: Part 35 in a series of tutorials on instrumentation and measurement
Author :
Yan, Ruqiang ; Gao, Robert X.
Author_Institution :
Univ. of Massachusetts Amherst, Amherst, MA, USA
Volume :
14
Issue :
5
fYear :
2011
fDate :
10/1/2011 12:00:00 AM
Firstpage :
27
Lastpage :
35
Abstract :
In previous parts of this tutorial series, several data processing techniques have been introduced to benefit members of the Instrumentation and Measurement Society (IMS). These include the Fourier transform [1], the wavelet transform [2], and correlation dimension analysis [3]. The first two techniques have been widely used in various engineering domains, and the underlying principle of those techniques comes from linear system theory. On the other hand, correlation dimension analysis is rooted in non-linear dynamics, and it has been used to interpret signals measured from physical systems where non-linear behaviors exist. With the advance of non-linear dynamics, more and more non-linear statistical parameters have been introduced to characterize physical systems from measured data [4]-[6]. Among these, the complexity measure has been applied to measuring depth of anesthesia for patients [7], detecting human motions [8], identifying image features for compression [9], and assessing machine failures [10]. In this article, we provide an introduction to how the complexity measure is calculated as an indicator for characterizing many of the signals measured during experiments in engineering practice and show its application in the field of bearing degradation measurement.
Keywords :
Fourier transforms; correlation methods; failure (mechanical); fault diagnosis; machine bearings; maintenance engineering; measurement theory; signal processing; statistics; wavelet transforms; Fourier transform; Instrumentation and Measurement Society; bearing degradation measurement; complexity measure; correlation dimension analysis; machine failures; nonlinear dynamics; nonlinear statistical parameters; wavelet transform; Complexity theory; Time frequency analysis; Time measurement; Time series analysis; Tutorials; Vibration measurement;
fLanguage :
English
Journal_Title :
Instrumentation & Measurement Magazine, IEEE
Publisher :
ieee
ISSN :
1094-6969
Type :
jour
DOI :
10.1109/MIM.2011.6041379
Filename :
6041379
Link To Document :
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