基于多尺度分析的混沌态Boost电路的分形研究
Study on the Fractal of Chaos Signal in Boost Circuit Based on Multi-scale Analysis
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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。
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关键词:
- 混沌;分形;小波;Boost电路
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. -
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