| 基于Shannon熵噪声表征能力的系统状态辨识 |
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| 引用本文： | 张雨.基于Shannon熵噪声表征能力的系统状态辨识[J].中南大学学报(自然科学版),2008,39(6). |
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| 作者姓名： | 张雨 |
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| 作者单位： | 南京工程学院,车辆工程系,江苏,南京,211167;东南大学交通学院,江苏,南京,210096 |
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| 基金项目： | 江苏省"六大人才高峰"项目
，
江苏省高校自然科学基础研究项目
，
南京工程学院科研基金资助项目
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| 摘 要： | 研究利用含噪程度差异辨识动力系统不同状态的可能性，采用符号时间序列的Shannon熵表征动力系统的含噪状态。由协方差矩阵最大特征值法或最小Shannon熵法获得符号序列长度厶得到符号序列直方图后便可计算Shannon熵。分别对不同瞬态工况的汽油汽车尾气HC排放、不同活塞环状态的柴油机机身振动、转子一定子不同碰摩状态的转子振动、汽车前悬架状态变化时的振动这4种动力系统计算Shannon熵，考察其对于系统含噪的表征能力和对于系统状态的辨识能力。研究结果表明：对于上述4种动力系统，Shannon熵都能指出含噪最强或最弱的那个状态，表明Shannon熵可用于辨识系统不同状态，但是，采用Shannon熵辨识系统状态的效能主要受状态之间含噪程度差异的影响。
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| 关 键 词： | 信号处理 符号时间序列分析 Shannon熵 动力系统 |
System condition identifying based on capacity of expressing noise with Shannon entropy |
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| ZHANG Yu.System condition identifying based on capacity of expressing noise with Shannon entropy[J].Journal of Central South University:Science and Technology,2008,39(6). |
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| Authors: | ZHANG Yu |
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| Institution: | ZHANG Yu1,2(1.Department of Vehicle Engineering,Nanjing Institute of Technology,Nanjing 211167,China,2.College of Transportation,Southeast University,Nanjing 210096,China) |
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| Abstract: | The probability to identify the different conditions of dynamical system by using the difference of noise degree was studied.The Shannon entropy of symbolic time series was taken for the noise condition of dynamical system.After the length L of symbolic series was obtained by the method of covariance matrix maximal eigenvalue or the method of minimal Shannon entropy,the symbolic series histogram was gotten,and then the value of Shannon entropy was calculated.For the four kinds of dynamical systems,i.e.,the ... |
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| Keywords: | signal processing symbolic time series analysis Shannon entropy dynamical system |
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