Improved correlation dimension algorithm with its application to mechanical fault diagnosis

A method for automatical scaling region recognition and further for automatical correlation dimension computation based on parameter combination and second derivative of correlation integral was presented.The effectiveness of the method was verified by the analysis of Lorenz attractor.In addition,the correlation dimensions of signals in different conditions sampled on an automobile main reducer performance test bed were computed by using this method.Experiment results show that correlation dimensions of different main reducers are distinguishable,so correlation dimension can be used as a quantitative criterion for recognizing fault property and its level,and the improved algorithm for calculating correlation dimension can be applied to product testings.