Research and Simulation of Variable Step-Size Uncorrelated Adaptive Volterra Filter Algorithm on Anti-Vibration and De-Noising

Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 135)

Abstract

In order to realize anti-vibration and de-noising on the aircraft main wing through the active control, the research of non-linear adaptive control algorithm is particularly important. Based on the study of the Volterra LMS algorithm, we improved a kind of variable step-size uncorrelated algorithm with better convergence speed and precision under the strong correlation input signal. Through the simulation, the new algorithm can realize faster convergence under strong correlation input signal of 500 times iterative computation, the weight coefficient mean-square error norm (NSWE) can achieve ?30 dB, which verifying the accuracy of improved algorithm.

Keywords

Volterra series  Improved LMS algorithm  Non-linear adaptive filter  Convergence character  Anti-vibration  

Notes

Acknowledgments

This paper is supported by the Aeronautical Science Foundation in China. (Nos. 2009ZD55001 and 2010ZD55006).

References

  1. 1.
    Kwong RH, Johnston EW (1992) A variable step size LMS algorithm. IEEE Trans Signal Process 40:1633–1642CrossRefMATHGoogle Scholar
  2. 2.
    Aboulnasr T, Mayas K (1997) A robust variable step-size LMS-type algorithm: analysis and simulation. IEEE Trans Signal Process 45:631–639CrossRefGoogle Scholar
  3. 3.
    Jianyou L, Zizhan W, Shunhui X, Zhenghua D (2006) An uncorrelated variable step-size normalized LMS adaptive algorithm. Comput Eng Sci 4:60–62Google Scholar
  4. 4.
    Guangsen W, Cheng W (2005) Nonlinear systems identification based on adaptive Volterra filter. Electr Opt Control 4:42–43Google Scholar
  5. 5.
    Feuer A, Weinstein E (1985) Convergence analysis of LMS filters with uncorrelated Gaussian data. IEEE Trans Acoust Speech Signal Process 33:222–229CrossRefGoogle Scholar
  6. 6.
    MATHEWS VJ (1991) Adaptive polynomial filters. IEEE Signal Process Mag 8:10–26CrossRefGoogle Scholar
  7. 7.
    Jie JIN, Donghui LI, Yinhao XU (2008) New uncorrelated variable step LMS algorithm and its application. Comput Eng Appl 44:57Google Scholar
  8. 8.
    Jianyou Long, Zizhan Wang, Shunhui Xia, Zhenghua Duan (2006) An uncorrelated variable step-size normalized LMS adaptive algorithm. Comput Eng Sci 28:60–61Google Scholar
  9. 9.
    Fangwei Li, Hao Zhang (2009) A new variable step size LMS adaptive filtering algorithm and its simulation. J Chongqing University Posts Telecomm (Natural Science Edition) 10:591–593Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Zhengzhou Institute of Aeronautical Industry ManagementZhengzhouChina
  2. 2.Interactive Media, Computer Science DepartmentUniversity College CorkCorkIreland

Personalised recommendations