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迭代變步長LMS算法及性能分析

劉建成 趙宏志 全厚德 唐友喜

劉建成, 趙宏志, 全厚德, 唐友喜. 迭代變步長LMS算法及性能分析[J]. 電子與信息學(xué)報, 2015, 37(7): 1674-1680. doi: 10.11999/JEIT141501
引用本文: 劉建成, 趙宏志, 全厚德, 唐友喜. 迭代變步長LMS算法及性能分析[J]. 電子與信息學(xué)報, 2015, 37(7): 1674-1680. doi: 10.11999/JEIT141501
Liu Jian-cheng, Zhao Hong-zhi, Quan Hou-de, Tang You-xi. Iteration-based Variable Step-size LMS Algorithm and Its Performance Analysis[J]. Journal of Electronics & Information Technology, 2015, 37(7): 1674-1680. doi: 10.11999/JEIT141501
Citation: Liu Jian-cheng, Zhao Hong-zhi, Quan Hou-de, Tang You-xi. Iteration-based Variable Step-size LMS Algorithm and Its Performance Analysis[J]. Journal of Electronics & Information Technology, 2015, 37(7): 1674-1680. doi: 10.11999/JEIT141501

迭代變步長LMS算法及性能分析

doi: 10.11999/JEIT141501
基金項目: 

國家自然科學(xué)基金(U1035002/L05, 61001087, 61101034, 61271164)和國家科技重大專項(2014ZX03003001-002, 2012ZX03003010-003, 2011ZX03001-006-01)

Iteration-based Variable Step-size LMS Algorithm and Its Performance Analysis

  • 摘要: 針對固定步長LMS(Least Mean Square)算法(FXSSLMS)不能同時滿足快速收斂和小穩(wěn)態(tài)失調(diào)誤差的問題,該文提出了迭代變步長LMS算法(IVSSLMS)。與已有的變步長LMS算法(VSSLMS)不同,該算法的步長因子不再是由輸出誤差信號控制,而是建立了與迭代時間的改進Logistic函數(shù)非線性關(guān)系,克服了定步長算法收斂慢及已有變步長算法抗噪聲干擾能力差的問題。最后從理論上分析了算法的性能,給出了其參數(shù)取值方法。理論分析和仿真均表明,所提算法能夠在快速收斂情況下獲得小的穩(wěn)態(tài)失調(diào)誤差,在有色噪聲干擾下穩(wěn)態(tài)失調(diào)誤差比已有算法降低了約7 dB。
  • Simon H著. 鄭寶玉譯. 自適應(yīng)濾波器原理[M]. 第4版, 北京: 電子工業(yè)出版社, 2010: 206-212.
    Huang Bo-yan, Xiao Ye-gui, Sun Jin-wei, et al.. A variable step-size FXLMS algorithm for narrowband active noise control[J]. IEEE Transactions on Audio, Speech and Language Processing, 2013, 21(2): 301-312.
    Xu Ding-jie, Yin Bo, Wang Wei, et al.. Variable tap-length LMS algorithm based on adaptive parameters for TDL structure adaption[J]. IEEE Signal Processing Letters, 2014, 21(7): 809-813.
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    Aboulnasr T and Mayyas K. A robust variable step-size LMS-type algorithm: analysis and simulations[J]. IEEE Transactions on Signal Processing, 1997, 45(3): 631-639.
    羅小東, 賈振紅, 王強. 一種新的變步長LMS 自適應(yīng)濾波算法[J]. 電子學(xué)報, 2006, 34(6): 1123-1126.
    Luo Xiao-dong, Jia Zhen-hong, and Wang Qiang. A new variable step size LMS adaptive filtering algorithm[J]. Acta Electronica Sinica, 2006, 34(6): 1123-1126.
    田福慶, 羅榮, 李克玉, 等. 基于改進的雙曲正切函數(shù)變步長LMS算法[J]. 系統(tǒng)工程與電子技術(shù), 2012, 34(9): 1758-1763.
    Tian Fu-qing, Luo Rong, Li Ke-yu, et al.. New variable step-size LMS algorithm based on modified hyperbolic tangent function[J]. Systems Engineering and Electronics, 2012, 34(9): 1758-1763.
    Mayyas K and Momani F. An LMS adaptive algorithm with a new step-size control equation[J]. Journal of the Frankin Institute, 2011, 348(4): 589-605.
    Huang Hsu-chang and Lee Jung-hsi. A new variable step-size NLMS algorithm and its performance analysis[J]. IEEE Transactions on Signal Processing, 2012, 60(4): 2055-2060.
    Mayyas K. A variable step-size selective partial update LMS algorithm[J]. Digital Signal Processing, 2013, 23(1): 75-85.
    Zhang Sheng and Zhang Jia-shu. New steady-state analysis results of variable step-size LMS algorithm with different noise distributions[J]. IEEE Signal Processing Letters, 2014, 21(6): 653-657.
    Bershad N J, Eweda E, and Bermudez Jos C M. Stochastic analysis of the LMS and NLMS algorithms for cyclostationary white gaussian inputs[J]. IEEE Transactions on Signal Processing, 2014, 62(9): 2238-2249.
    Hwang Jeng-kuang and Li Yuan-ping. Variable step-size LMS algorithm with a gradient-based weighted average[J]. IEEE Signal Processing Letters, 2009, 16(12): 1043-1046.
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出版歷程
  • 收稿日期:  2014-11-26
  • 修回日期:  2015-02-04
  • 刊出日期:  2015-07-19

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