| 基于双提升小波的自适应混沌信号降噪 |
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| 引用本文： | 刘云侠,杨国诗,贾群. 基于双提升小波的自适应混沌信号降噪[J]. 电子学报, 2011, 39(1): 13-17 |
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| 作者姓名： | 刘云侠 杨国诗 贾群 |
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| 作者单位： | 淮南师范学院计算机与信息工程系,安徽淮南 232038 |
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| 基金项目： | 淮南师范学院青年科学研究项目(No.2010QNL15) |
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| 摘 要： | 根据信号和噪声的特性不同,本文提出了一种基于双提升小波的自适应混沌信号降噪方法.该方法结合奇异谱和梯度下降算法,分别对双提升小波变换后的近似部分和细节部分进行了分析.一方面,奇异谱分析更大程度的去除了代表噪声的较小奇异值;另一方面,神经网络对非线性阈值的自学习,实现了小波系数的自适应选取,提高了信号的定位精度.通过对Lorenz模型和月太阳黑子时序进行仿真,证实了本文所提方法能够对实际观测的混沌信号进行有效的降噪.
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| 关 键 词： | 双提升小波 奇异谱分析 梯度下降算法 混沌信号 降噪 |
| 收稿时间： | 2009-11-14 |
Adaptive Noise Reduction for Chaotic Signals Based on Dual-Lifting Wavelet Transform |
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| LIU Yun-xia,YANG Guo-shi,JIA Qun. Adaptive Noise Reduction for Chaotic Signals Based on Dual-Lifting Wavelet Transform[J]. Acta Electronica Sinica, 2011, 39(1): 13-17 |
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| Authors: | LIU Yun-xia YANG Guo-shi JIA Qun |
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| Affiliation: | Department of Computer and Information Engineering,Huainan Normal University,Huainan,Anhui 232038,China |
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| Abstract: | According to different characteristics of chaotic signals and Gaussian noises,an adaptive noise reduction method is proposed based on dual-lifting wavelet.Singular spectrum analysis(SSA) and gradient decent algorithm are respectively used for the analysis of coarse approximation and detail information.The former removes smaller singular value representing noises in a greater degree,while the latter employed for the adaptive choice of wavelet coefficients further improves the positioning accuracy of signals.... |
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| Keywords: | dual-lifting wavelet singular spectrum analysis gradient decent algorithm chaotic signals noise reduction |
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