A new LMS/Newton algorithm for robust adaptive filtering in impulsive noise

This paper proposes a new LMS/Newton algorithm for robust adaptive filtering in impulse noise. The new algorithm is obtained by applying the non-linear filtering technique and the robust statistic approach to the conventional fast LMS/Newton method. A robust method for estimating the required threshold parameters for impulse suppression is also given. Simulation results show that aside from retaining the advantages of the LMS/Newton algorithm such as low complexity and numerical stability, the new algorithm is more robust and effective in suppressing the adverse effects of the impulses.

[1]  Peter M. Clarkson,et al.  A class of order statistic LMS algorithms , 1992, IEEE Trans. Signal Process..

[2]  Behrouz Farhang-Boroujeny,et al.  Fast LMS/Newton algorithms based on autoregressive modeling and their application to acoustic echo cancellation , 1997, IEEE Trans. Signal Process..

[3]  C. L. Nikias,et al.  Algorithms for Statistical Signal Processing , 2002 .

[4]  S. C. Chan,et al.  Robust M-estimate adaptive filtering , 2001 .

[5]  Tung-Sang Ng,et al.  Fast least mean M-estimate algorithms for robust adaptive filtering in impulse noise , 2000, 2000 10th European Signal Processing Conference.

[6]  Dimitris G. Manolakis,et al.  Statistical and Adaptive Signal Processing: Spectral Estimation, Signal Modeling, Adaptive Filtering and Array Processing , 1999 .

[7]  Bernard Mulgrew,et al.  A self-orthogonalizing efficient block adaptive filter , 1986, IEEE Trans. Acoust. Speech Signal Process..

[8]  Sergios Theodoridis,et al.  Fast Newton transversal filters-a new class of adaptive estimation algorithms , 1991, IEEE Trans. Signal Process..

[9]  T. Ng,et al.  A recursive least M-estimate (RLM) adaptive filter for robust filtering in impulse noise , 2000, IEEE Signal Processing Letters.

[10]  George-Othon Glentis,et al.  Efficient least squares adaptive algorithms for FIR transversal filtering , 1999, IEEE Signal Process. Mag..

[11]  Shin'ichi Koike Adaptive threshold nonlinear algorithm for adaptive filters with robustness against impulse noise , 1997, IEEE Trans. Signal Process..