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Recurrence Plots and Cross Recurrence Plots

Zhongnan Daxue Xuebao (Ziran Kexue Ban)/ Journal of Central South University (Science and Technology), 44(7), 3024–3032p. (2013)

Local recurrence rate analysis based non-stationarity measurement for operational vibration signal

D. Yang, W.-X. Ren, D. Li, Y.-D. Hu

According to non-stationary assessment for operational vibration signals, a novel index was proposed based on the recurrence quantification analysis. The non-stationarity patterns in the recurrence plots were studied. To fill up the deficiency of recurrence trend, which was the commonly used non-stationarity measurement in the recurrence plot and was not suitable for assessing non-stationarity of structural operational vibration signals, the variation of local recurrence density was discussed, the minimal local recurrence density was used as a reference, and then a new non-stationarity measurement named recurrence loss value was proposed in which the quality loss function theory was introduced. Some typical non-stationary signals were used to validate it. Comparison of recurrence trend and recurrence loss value was made, and the result illustrates their differences and similarities. For reinforcing proposed measurement, the measurements were used for operational vibration signals. The results show that recurrence loss value has a good applicability for operational vibration signals.


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