A new method for estimating parameters of a skewed alpha-stable distribution

2002 ◽  
Author(s):  
S. Maymon ◽  
J. Friedmann ◽  
H. Messer
Keyword(s):  
Stable Distribution ◽  
New Method ◽  
Alpha Stable Distribution

A New Method for Multi-Fault Diagnosis of Rotating Machinery Based on the Mixture Alpha Stable Distribution Model

2014 ◽  
Vol 977 ◽  
pp. 349-352 ◽  
Author(s):  
Gang Yu ◽  
Jian Kang
Keyword(s):  
Pattern Recognition ◽  
Fault Diagnosis ◽  
Stable Distribution ◽  
Estimation Algorithm ◽  
Rotating Machinery ◽  
Parameters Estimation ◽  
New Method ◽  
Distribution Model ◽  
Model Parameters ◽  
Alpha Stable Distribution

As one of the most important type of machinery, rotating machinery may malfunction due to various reasons. Sometimes the fault is a single one, but sometimes it maybe in multi-fault condition, this paper mainly focus on the latter. First, the paper gives a brief introduction of the study on multi-fault, then it introduces the mixture of Alpha stable distribution model, besides, it gives the model parameters estimation algorithm in detail, at last we use the SOM net to complete pattern recognition. The results prove that this modeling method is effective in multi-fault diagnosis in rotating machinery.

Radar Clutter Recognition Using Alpha Stable Distribution

2011 ◽  
Vol 30 (9) ◽  
pp. 2042-2045 ◽  
Author(s):  
Xu-tao Li ◽  
Shou-yong Wang ◽  
Lian-wen Jin
Keyword(s):  
Stable Distribution ◽  
Radar Clutter ◽  
Alpha Stable Distribution

SAR image classification based on alpha-stable distribution

2011 ◽  
Vol 2 (1) ◽  
pp. 51-59 ◽  
Author(s):  
Yijin Peng ◽  
Xin Xu ◽  
Wanbin Zhou ◽  
Yin Zhao
Keyword(s):  
Image Classification ◽  
Stable Distribution ◽  
Sar Image ◽  
Alpha Stable Distribution

Adaptive Stochastic Resonance Method for Early Fault Detection of Rotating Machinery Based on Alpha Stable Distribution

2014 ◽  
Vol 618 ◽  
pp. 458-462
Author(s):  
Gang Yu ◽  
Ye Chen
Keyword(s):  
Fault Detection ◽  
Stochastic Resonance ◽  
Stable Distribution ◽  
Signal To Noise Ratio ◽  
Resonance Method ◽  
Rotating Machinery ◽  
Sliding Windows ◽  
Alpha Stable Distribution ◽  
Early Fault Detection ◽  
The Impact

This paper proposes an adaptive stochastic resonance (SR) method based on alpha stable distribution for early fault detection of rotating machinery. By analyzing the SR characteristic of the impact signal based on sliding windows, SR can improve the signal to noise ratio and is suitable for early fault detection of rotating machinery. Alpha stable distribution is an effective tool for characterizing impact signals, therefore parameter alpha can be used as the evaluating parameter of SR. Through simulation study, the effectiveness of the proposed method has been verified.

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