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在混沌时间序列的复原图(recurrence plot, RP)基础上,提出了两混沌时间序列的相干复原图(cross recurrence plot, CRP)的定义,并在CRP上提取出两时间序列在同一重构相空间中演化趋势接近的轨道的平均长度(近邻轨道平均长度),最终实现对混沌时间序列的分类.通过对Lorenz信号的分析,得出两时间序列的近邻轨道平均长度随着它们的重构轨道在相空间中的演化相似性的减小而减短;通过本方法与Schreiber提出的相干预测误差分类方法对心电信号(ECG)的节律变化的检测实验,得Based on recurrence plot (RP) of chaotic time series, this paper develops the definition of cross recurrence plot (CRP) and the average length of close orbits, which reflects the similarity of two time series and is used to classify time series. By analysing the Lorenz signals, we conclude that the average length is decreased with the decrease of the similarity of two orbits. We have used our method and the crossprediction error in the detection of ECG rhythm. The results show that both methods work for rhythm with different waveforms, but our method works better for rhythms with similar waveforms than the method of cross_prediction error.
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Keywords:
- time series classification /
- recurrence plot /
- cross recurrence plot /
- average length of close orbits /
- crossprediction error







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