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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...
An efficient scheme for fractal scaleless band automatic identification is proposed, which is based curve-line-curve fitting piecewise. The G-P correlation integral algorithm and the distribution rule of the correlation integral series for vibration signal are studied. Based on the result, a new and more efficient curve-line-curve piecewise fitting scheme instead of the conventional three-line fitting...
An improved algorithm by curve-line-curve fitting piecewise is proposed for fractal scaleless band automatic identification, which is based on the study of the correlation integral algorithm and the distribution rule of the correlation integral series for vibration signal. To get the correlation dimension of vibration signal, a curve-line-curve fitting piecewise on the double logarithmic point series...
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