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. -
Tse C K. Recent developments in the study of nonlinear phenomena in power electronic circuits. IEEE Circuits and Systems Newsletter, 2000, 12: 14-48.[2]Heidari S, Tsihrintzis G A, Chrysostomos, et al.. Self-similar Set identification in the time scale domain[J].IEEE Transactions on Signal Processing.1996, 44(6):1568-1573[3]Fotiou I A. Fractals and wavelets. IEEE Potentials, 2003, 22(2): 28-31.[4]Daubechies I. The wavelet transform, time-frequency location and signal analysis[J].IEEE Trans. on Information Theory.1990, 36(5):961-1005[5]Mallat S G. A theory for multi-resolution signal decomposition: the wavelet representation[J].IEEE Trans. on Patt. Anal. and Mach. Intell.1989, 11(11):674-693[6]Falconer K J. Techniques in Fractal Geometry. London, UK: WlP, 1998: 7-15.[7]Chan W C Y, Tse C K. Studies of routes to chaos for current-programmed DC/DC converter. IEEE Trans. on Circ. Syst., 1996, 43(5): 789-795.[8]Wen W G, Wei X Y. Study on the route to chaos and stability of the current feedback controlled boost converter. .[J].proceeding of international conference on machine learning and cybernetics.2003, Xian:-[9]王利清, 魏学业, 温伟刚. 电流模式Buck Boost电路从有序到混沌的分形研究. 北京交通大学学报, 2004, 28(5): 62-65. -
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