Paper Information

Journal:   MODARES MECHANICAL ENGINEERING   MARCH 2017 , Volume 16 , Number 12 #F0074; Page(s) 357 To 364.
 
Paper: 

COMBINED AUTO-REGRESSIVE MIRROR METHOD FOR IMPROVEMENT OF END EFFECTS IN EMPIRICAL MODE DECOMPOSITION

 
 
Author(s):  HOSSEINI KORDKHEILI SEYED ALI*, MOHAMMAD NAVAZI HOSSEIN, MOMENI MASSOULEH SEYYED HASSAN
 
* DEPARTMENT OF AEROSPACE ENGINEERING, SHARIF UNIVERSITY OF TECHNOLOGY, TEHRAN, IRAN
 
Abstract: 

The empirical mode decomposition method is a new technique to obtain constitutive components of a signal. Applicability to all kinds of signals including non-stationary and nonlinear is a main feature of this method. So far, many researches have been done in the literature to eliminate or reduce effects of multiple sources of errors such as stop criteria, end effects and interpolation function. This article focuses on end effects error for which many of the previous solutions have been proposed based on symmetry or similar methods to reduce it. The proposed combined method using auto-regressive (AR) models for short sections of signal edges, forecasts tails of maximum and minimum envelops. Some of the first intrinsic mode functions are initially calculated as a result of AR model application. The methods based on symmetry are then used to continue sifting algorithm for remaining signal that does not have enough extremums to employ AR model. Finally, by executing some examples, more accurate results obtained from proposed method are compared with those achieved from the mirror method.
Noise is also added to signal time history in the last example, to simulate a more realistic situation.

 
Keyword(s): EMPIRICAL MODE DECOMPOSITION, INTRINSIC MODE FUNCTION, END EFFECTS ERROR, AUTOREGRESSIVE MODEL, MIRROR METHOD
 
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