On the decoupling of system and noise model parameter estimation in time-series analysis

1981 ◽  
Vol 34 (3) ◽  
pp. 423-431 ◽  
Author(s):  
A. J. JAKEMAN ◽  
P. C. YOUNG
1989 ◽  
Vol 111 (3) ◽  
pp. 199-205 ◽  
Author(s):  
S. Y. Liang ◽  
D. A. Dornfeld

This paper discusses the monitoring of cutting tool wear based on time series analysis of acoustic emission signals. In cutting operations, acoustic emission provides useful information concerning the tool wear condition because of the fundamental differences between its source mechanisms in the rubbing friction on the wear land and the dislocation action in the shear zones. In this study, a signal processing scheme is developed which uses an autoregressive time-series to model the acoustic emission generated during cutting. The modeling scheme is implemented with a stochastic gradient algorithm to update the model parameters adoptively and is thus a suitable candidate for in-process sensing applications. This technique encodes the acoustic emission signal features into a time varying model parameter vector. Experiments indicate that the parameter vector ignores the change of cutting parameters, but shows a strong sensitivity to the progress of cutting tool wear. This result suggests that tool wear detection can be achieved by monitoring the evolution of the model parameter vector during machining processes.


2015 ◽  
Vol 738-739 ◽  
pp. 423-429
Author(s):  
Jian Jun Zhang

High calculation precision and speed of the model parameter estimation has become the theoretical research emphasis and the key link of the applications of the time series analysis based methods. Aiming at the problem that some of the previous parameter estimation methods exist the weakness of stronger constraints, higher time complexity, lower precision of the whole recurrence process and insufficient online diagnosis power, this paper proposes an approach which repeatedly uses the auto-covariance function and the autocorrelation function throughout the recurrent process while guaranteeing not to increase the time complexity of the proposed algorithm and, hence improve the calculation speed and accuracy of parameter estimation simultaneously. As compared to related work, it has lower time complexity, shorter computation time and higher parameter estimation accuracy. The fault diagnosis steps based on the proposed parameter estimation approach are also suggested.


2014 ◽  
Vol 96 ◽  
pp. 266-273 ◽  
Author(s):  
Bo Gyu Jeong ◽  
Byoung Chul Kim ◽  
Yong Ho Moon ◽  
Il Kyu Eom

NeuroImage ◽  
2001 ◽  
Vol 13 (6) ◽  
pp. 990
Author(s):  
Daniel Kelley ◽  
Rasmus Birn ◽  
Ziad Saad ◽  
Peter Bandettini

2014 ◽  
Vol 687-691 ◽  
pp. 3968-3971
Author(s):  
Wei Shan ◽  
Lei Li ◽  
Qun He

Time series analysis has been extensively used in many fields, such as system identification, modeling and data predication, and played an important role in system design, planning and performance analysis. The focus of time series application study is how to improve the accuracy and computation speed of the parameter estimation. Many researchers have carried out system modeling study by applying time series analysis and have gained their research results. The traditional methods such as maximum likelihood estimation, moment estimate and least square estimate which exit the defect of low precision, poor convergence and parameter estimation white noises coupling, are mostly utilized in parameter estimation for model. Taking this as basis the data forecasting and anomaly detection are conducted, which is hard to ensure the system’s stability. Different from the traditional algorithm, this paper proposes a new weighted iterative stage parameter estimation algorithm which avoids the coupling with white noise estimation of ARMA model parameter and improves the accuracy of parameter estimation. In theory, this algorithm tends to provide a good convergence performance. The experimental results based on ARIMA model show that the algorithm can improve the accuracy of parameter estimation and provide a good convergence performance.


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