| 基于分形理论的混沌信号与噪声分离方法 |
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| 引用本文： | 裴文江,刘文波.基于分形理论的混沌信号与噪声分离方法[J].南京航空航天大学学报,1997,29(5):483-487. |
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| 作者姓名： | 裴文江 刘文波 |
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| 作者单位： | 南京航空航天大学测试工程系 |
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| 基金项目： | 国家自然科学基金,航空科学基金 |
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| 摘 要： | 提出一种分维数和子波重构相结合的混沌信号与噪声分离方法，与以往出现的子波滤波方法和经典滤波方法相比较，该方法有如下特点；利用子波变换计算带观测噪声混沌信号的真实分数维，进而根据观测序列维数与真实维数的差值控制子波重构的参数，构造出混沌与噪声分离的自适应滤波器结构。仿真实验说明了该算法的有效性。
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| 关 键 词： | 混沌 噪声 分数维 子波重构 分形内插 信号处理 |
Adaptive Noise Reduction Method for Chaotic Signals Based on Fractal |
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| Pei Wenjiang,Liu Wenbo,Yu Shenglin.Adaptive Noise Reduction Method for Chaotic Signals Based on Fractal[J].Journal of Nanjing University of Aeronautics & Astronautics,1997,29(5):483-487. |
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| Authors: | Pei Wenjiang Liu Wenbo Yu Shenglin |
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| Abstract: | A novel adaptive noise reduction method for chaotic signals based on wavelet reconstruction and fractal theory is presented. Compared with traditional methods and wavelet filtration method, the property of the method is: the actual fractal dimension of chaotic signal with noises is estimated by the wavelet transformation, and then the wavelet reconstruction parameter can be controlled in accordance with the deviation of the observed sequence dimension from the actual dimension to construct an adaptive filter structure. The simulation results demonstrate that the algorithm is fairly good in performance. |
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| Keywords: | chaos noise fractal dimension wavelet reconstruction fractal interpolation |
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