| 用RQA 法分析不同信噪比下的非线性系统 |
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| 引用本文： | 高思莉,肖青,徐明奇,王萍.用RQA 法分析不同信噪比下的非线性系统[J].物理实验,2003,23(4):13-17. |
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| 作者姓名： | 高思莉 肖青 徐明奇 王萍 |
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| 作者单位： | 1. 东北师范大学物理系,吉林,长春,130024
2. 文登市第十一中学,山东,文登,264417 |
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| 摘 要： | 以Lorenz系统为例，运用重现图形和重现定量分析法分析了不同信噪比下噪声对连续系统混沌区非线性特征量的影响．选取自相关函数第一次降到C(0)／2时所对应的t作为延迟时间τ，运用错误近邻分析法确定序列的嵌入维m，以重构相空间．结果表明：当信噪比大于5时，序列存在的确定性规律RPA仍能显示出来．随着信噪比的降低，RQA的参量：％recur，％determ，ratio，entropy和trends的绝对值呈下降的趋势．当SNR≥1000时，噪声对各参量的值影响不大．
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| 关 键 词： | 重现图形 重现定量分析 错误近邻分析法 混沌 信噪比 延迟时间 嵌入维 RQA法 非线性系统 噪声 |
| 文章编号： | 1005-4642(2003)04-0013-05 |
| 修稿时间： | 2002年9月17日 |
Analyzing a nonlinear system of various SNR with RQA |
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| GAO Si li,XIAO Qing,XU Ming qi,WANG Ping.Analyzing a nonlinear system of various SNR with RQA[J].Physics Experimentation,2003,23(4):13-17. |
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| Authors: | GAO Si li XIAO Qing XU Ming qi WANG Ping |
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| Institution: | GAO Si li 1) XIAO Qing 1) XU Ming qi 1) WANG Ping 2) |
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| Abstract: | The method of recurrence plot analysis(RPA) and recurrence quantification analysis(RQA) is used to analyze the effects of noise with various the signal to noise ratio (SNR) to a nonlinear chaotic system. Using Lorenz system as an example, the first drop of C (0)/2 of autocorrelation function is choosed as time delay, and the method of false nearest neighbors analysis is used to determine the embedding dimension. Then the phase space is reconstructed. RPA shows that all the series obey the deterministic rule when SNR is greater than 5. With the drop of SNR, all the values of chaos obey a determinate trend. The influence of noise is not obvious when the SNR is not less than 1 000. |
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| Keywords: | recurrence plot and recurrence quantification analysis false nearest neighbors analysis chaos signal to noise ratio time delay embedding dimension |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
