Improved Algorithm for Correlation Dimension in Vibration Signal Fault Diagnosis

Abstract-Based on the fact that the fractal scaleless band and correlation dimension will gradually reach saturation and consensus along with the increase of the embedding dimension, an improved correlation dimension algorithm is proposed. The proposed algorithm, which is composed of complex auto-correlation method and curve-line-curve fitting method, can automate the calculation of reconstructing phase space parameters and fractal scaleless band, indeed correlation dimension of vibration signals. Case analysis results showed that the proposed algorithm can be used to calculate the correlation dimension of vibration signals automatically and accurately, without any prior knowledge of vibration signals.