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一种参数优化的混沌信号自适应去噪算法

王梦蛟 吴中堂 冯久超

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一种参数优化的混沌信号自适应去噪算法

王梦蛟, 吴中堂, 冯久超

A parameter optimization nonlinear adaptive denoising algorithm for chaotic signals

Wang Meng-Jiao, Wu Zhong-Tang, Feng Jiu-Chao
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  • 针对非线性自适应混沌信号去噪算法的参数优化问题, 考虑到最优滤波窗长受到不同因素的影响, 为提高该算法的自适应性, 提出一种滤波窗长自动最优化的判决准则. 依据混沌信号和噪声自相关函数的不同, 首先采用不同窗长对含噪混沌信号进行去噪, 然后计算每个窗长对应的残差自相关度(RAD), 最后通过对最小RAD所对应的窗长进行一定比例收缩实现窗长的最优化. 仿真结果表明, 该判决准则能够在不同条件下对滤波窗长进行有效的自动最优化, 提高了混沌信号去噪算法的自适应性.
    In the parameter optimization issue of nonlinear adaptive denoising algorithm for chaotic signals, the window length is affected by different factors. In this paper, a criterion is proposed for selecting the optimal window length. According to the difference in autocorrelation function between chaotic signal and noise, first, the different window sizes are used for denoising noisy chaotic signals. Then, the residual autocorrelation degree (RAD) of each window length is computed. Finally, the optimal window length is obtained by shrinking the window length corresponding to the minimum RAD. Simulation results show that this criterion can automatically optimize the window length efficiently under different conditions, which improves the adaptivity of the denoising algorithm of chaotic signals.
    • 基金项目: 国家自然科学基金(批准号: 60872123)、国家自然科学基金-广东省自然科学基金联合基金(批准号: U0835001)和中央高校基本科研业务费专项资金(批准号: 2013ZM0080)资助的课题.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 60872123), the Joint Fund of the National Natural Science Foundation of China and the Guangdong Provincial Natural Science Foundation (Grant No. U0835001), and the Fundamental Research Funds for the Central Universities, China (Grant No. 2013ZM0080).
    [1]

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    [2]

    Lorenz E N 1963 J. Atmos. Sci. 20 130

    [3]

    Han M, Xu M L 2013 Acta Phys. Sin. 62 120510 (in Chinese) [韩敏, 许美玲 2013 物理学报 62 120510]

    [4]

    Sun J W, Shen Y, Yin Q, Xu C J 2013 Chaos 23 013140

    [5]

    Wang X Y, Zhang N, Ren X L, Zhang Y L 2011 Chin. Phys. B 20 020507

    [6]

    Xing H Y, Zhu Q Q, Xu W 2014 Acta Phys. Sin. 63 100505 (in Chinese) [行鸿彦, 朱清清, 徐伟 2014 物理学报 63 100505]

    [7]

    Wang X Y, Liu L T 2013 Chin. Phys. B 22 050503

    [8]

    Wang X Y, Bao X M 2013 Chin. Phys. B 22 050508

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    Urbanowicz K, Hołyst J A 2003 Phys. Rev. E 67 046218

    [10]

    Feng J C 2012 Chaotic Signals and Information Processing (Beijing: Tsinghua University Press) pp32-35 (in Chinese) [冯久超 2012 混沌信号与信息处理(北京: 清华大学出版社)第32–35页]

    [11]

    Badii R, Broggi G, Derighetti B, Ravani M 1988 Phys. Rev. Lett. 60 979

    [12]

    Tung W W, Gao J B, Hu J, Yang L 2011 Phys. Rev. E 83 046210

    [13]

    Gao J B, Sultan H, Hu J, Tung W W 2010 IEEE Signal Proc. Lett. 17 237

    [14]

    Donoho D L 1995 IEEE Trans. Inform. Theory 41 613

    [15]

    Han M, Liu Y H, Xi J H, Guo W 2007 IEEE Signal Proc. Lett. 14 62

    [16]

    Cawley R, Hsu G H 1992 Phys. Rev. A 46 3057

    [17]

    Schreiber T, Richter M 1999 Int. J. Bifurcation Chaos 9 2039

    [18]

    Kopsinis Y, McLaughlin S 2009 IEEE Trans. Signal Proc. 57 1351

    [19]

    Wang W B, Zhang X D, Wang X L 2013 Acta Phys. Sin. 62 050201 (in Chinese) [王文波, 张晓东, 汪祥莉 2013 物理学报 62 050201]

    [20]

    Feng J C 2005 Chin. Phys. Lett. 22 1851

    [21]

    Arasaratnam I, Haykin S, Hurd T R 2010 IEEE Trans. Signal Proc. 58 4977

    [22]

    Curtis F, Patrick O (translated by L S J) 2006 Applied Numerical Analysis (Beijing: China Machine Press) pp164-166 (in Chinese) [柯蒂斯F, 帕特里克O 著(吕淑娟 译) 2006 应用数值分析(北京: 机械工业出版社)第164–166页]

    [23]

    Schafer R W 2011 IEEE Signal Proc. Mag. 28 111

    [24]

    Savitzky A, Golay M J E 1964 Anal. Chem. 36 1627

    [25]

    Krishnan S R, Seelamantula C S 2013 IEEE Trans. Signal Proc. 61 380

    [26]

    Vivó-Truyols G, Schoenmakers P J 2006 Anal. Chem. 78 4598

    [27]

    Chen G R, Ueta T 1999 Int. J. Bifurcation Chaos 9 1465

  • [1]

    L J H, Lu J A, Chen S H 2002 The Analysis and Applications of Chaotic Time Series (Wuhan: Wuhan University Press) pp1-8 (in Chinese) [吕金虎, 陆君安, 陈士华 2002 混沌时间序列分析及其应用 (武汉: 武汉大学出版社)第1–8页]

    [2]

    Lorenz E N 1963 J. Atmos. Sci. 20 130

    [3]

    Han M, Xu M L 2013 Acta Phys. Sin. 62 120510 (in Chinese) [韩敏, 许美玲 2013 物理学报 62 120510]

    [4]

    Sun J W, Shen Y, Yin Q, Xu C J 2013 Chaos 23 013140

    [5]

    Wang X Y, Zhang N, Ren X L, Zhang Y L 2011 Chin. Phys. B 20 020507

    [6]

    Xing H Y, Zhu Q Q, Xu W 2014 Acta Phys. Sin. 63 100505 (in Chinese) [行鸿彦, 朱清清, 徐伟 2014 物理学报 63 100505]

    [7]

    Wang X Y, Liu L T 2013 Chin. Phys. B 22 050503

    [8]

    Wang X Y, Bao X M 2013 Chin. Phys. B 22 050508

    [9]

    Urbanowicz K, Hołyst J A 2003 Phys. Rev. E 67 046218

    [10]

    Feng J C 2012 Chaotic Signals and Information Processing (Beijing: Tsinghua University Press) pp32-35 (in Chinese) [冯久超 2012 混沌信号与信息处理(北京: 清华大学出版社)第32–35页]

    [11]

    Badii R, Broggi G, Derighetti B, Ravani M 1988 Phys. Rev. Lett. 60 979

    [12]

    Tung W W, Gao J B, Hu J, Yang L 2011 Phys. Rev. E 83 046210

    [13]

    Gao J B, Sultan H, Hu J, Tung W W 2010 IEEE Signal Proc. Lett. 17 237

    [14]

    Donoho D L 1995 IEEE Trans. Inform. Theory 41 613

    [15]

    Han M, Liu Y H, Xi J H, Guo W 2007 IEEE Signal Proc. Lett. 14 62

    [16]

    Cawley R, Hsu G H 1992 Phys. Rev. A 46 3057

    [17]

    Schreiber T, Richter M 1999 Int. J. Bifurcation Chaos 9 2039

    [18]

    Kopsinis Y, McLaughlin S 2009 IEEE Trans. Signal Proc. 57 1351

    [19]

    Wang W B, Zhang X D, Wang X L 2013 Acta Phys. Sin. 62 050201 (in Chinese) [王文波, 张晓东, 汪祥莉 2013 物理学报 62 050201]

    [20]

    Feng J C 2005 Chin. Phys. Lett. 22 1851

    [21]

    Arasaratnam I, Haykin S, Hurd T R 2010 IEEE Trans. Signal Proc. 58 4977

    [22]

    Curtis F, Patrick O (translated by L S J) 2006 Applied Numerical Analysis (Beijing: China Machine Press) pp164-166 (in Chinese) [柯蒂斯F, 帕特里克O 著(吕淑娟 译) 2006 应用数值分析(北京: 机械工业出版社)第164–166页]

    [23]

    Schafer R W 2011 IEEE Signal Proc. Mag. 28 111

    [24]

    Savitzky A, Golay M J E 1964 Anal. Chem. 36 1627

    [25]

    Krishnan S R, Seelamantula C S 2013 IEEE Trans. Signal Proc. 61 380

    [26]

    Vivó-Truyols G, Schoenmakers P J 2006 Anal. Chem. 78 4598

    [27]

    Chen G R, Ueta T 1999 Int. J. Bifurcation Chaos 9 1465

计量
  • 文章访问数:  5105
  • PDF下载量:  306
  • 被引次数: 0
出版历程
  • 收稿日期:  2014-08-11
  • 修回日期:  2014-09-29
  • 刊出日期:  2015-02-05

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