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| 基于多尺度分析的混沌态Boost电路的分形研究 | |
| 引用本文： | 温伟刚,郭辉,魏学业,梁艳红.基于多尺度分析的混沌态Boost电路的分形研究[J].电子与信息学报,2006,28(6):1150-1152. |
| 作者姓名： | 温伟刚 郭辉 魏学业 梁艳红 |
| 作者单位： | 1. 北京交通大学电信学院运输自动化研究所,北京,100044 2. 新疆工业高等专科学校,乌鲁木齐,830091 3. 中国科学院电子学研究所,北京,100080 |
| 摘 要： | 分形维数是混沌吸引子的重要特征参数，而小波变换是一种多尺度分析工具。该文研究了混沌信号的自相似性及其不同尺度小波变换系数的特性，推导出计算混沌信号分形维数的多尺度计算方法，并对Boost电路混沌信号的分形维数进行了仿真计算，清楚刻画了其混沌吸引子的分形特性。 |
| 关 键 词： | 混沌 分形 小波 Boost电路 |
| 文章编号： | 1009-5896（2006）06-1150-03 |
| 收稿时间： | 2005-01-06 |
| 修稿时间： | 2005-06-09 |
Study on the Fractal of Chaos Signal in Boost Circuit Based on Multi-scale Analysis |
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| Wen Wei-gang,Guo Hui,Wei Xue-ye,Liang Yan-hong.Study on the Fractal of Chaos Signal in Boost Circuit Based on Multi-scale Analysis[J].Journal of Electronics & Information Technology,2006,28(6):1150-1152. | |
| Authors: | Wen Wei-gang Guo Hui Wei Xue-ye Liang Yan-hong |
| Affiliation: | School of Electronics & Information, Beijing Jiaotong University, Beijing 100044, China; Xinjiang Industrial College, Wulumuqi 830091, China; Institute of Electronics, Chinese Academy of Sciences, Beijing 100080, China |
| Abstract: | The fractal parameter is very import in studying the chaos signal. Wavelet transform is a useful multi-scale tool for analyzing the fractal. In this paper, the self-similarity property of chaos signal and the properties of the coefficient of wavelet transform in different scales are discussed, and the signal of Boost circuit in chaotic state is studied by wavelet transform. From deduction, the algorithm of calculating the fractal parameter of the chaotic attractor of the circuit is got. Finally, the calculation and simulation are done. |
| Keywords: | Chaos Fractal Wavelet Boost circuit |
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