基于多尺度分析的混沌態(tài)Boost電路的分形研究
Study on the Fractal of Chaos Signal in Boost Circuit Based on Multi-scale Analysis
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摘要: 分形維數(shù)是混沌吸引子的重要特征參數(shù)，而小波變換是一種多尺度分析工具。該文研究了混沌信號的自相似性及其不同尺度小波變換系數(shù)的特性，推導(dǎo)出計算混沌信號分形維數(shù)的多尺度計算方法，并對Boost電路混沌信號的分形維數(shù)進行了仿真計算，清楚刻畫了其混沌吸引子的分形特性。
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關(guān)鍵詞:
- 混沌;分形;小波;Boost電路
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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