Transient Analysis of Error saturation Nonlinearity LMS in Impulsive Noise

This paper introduces a new approach for the transient analysis of adaptive filter with error saturation nonlinearity in presence of impulsive noise. The recursive expressions for mean-square deviation(MSD) and excess mean-square error(EMSE) are derived based on weighted energy conservation arguments. The approach is leads to new performance results without restricting the input regression data to be white.

[1]  B. El-Jabu,et al.  Optimal Robust Adaptive LMS Algorithm without Adaptation Step-Size , 2008, 2008 Global Symposium on Millimeter Waves.

[2]  Bernard Widrow,et al.  Adaptive Signal Processing , 1985 .

[3]  Neil J. Bershad,et al.  On error-saturation nonlinearities in LMS adaptation , 1988, IEEE Trans. Acoust. Speech Signal Process..

[4]  Robert F. Pawula,et al.  A modified version of Price's theorem , 1967, IEEE Trans. Inf. Theory.

[5]  Ali H. Sayed,et al.  Fundamentals Of Adaptive Filtering , 2003 .

[6]  N. Bershad.  On weight update saturation nonlinearities in LMS adaptation , 1990, IEEE Trans. Acoust. Speech Signal Process..

[7]  S. Haykin,et al.  Adaptive Filter Theory , 1986 .

[8]  R. Vemuri,et al.  Robust adaptive algorithms for active noise and vibration control , 1990, International Conference on Acoustics, Speech, and Signal Processing.

[9]  Neil J. Bershad,et al.  Saturation effects in LMS adaptive echo cancellation for binary data , 1990, IEEE Trans. Acoust. Speech Signal Process..

[10]  Shing-Chow Chan,et al.  A recursive least M-estimate algorithm for robust adaptive filtering in impulsive noise: fast algorithm and convergence performance analysis , 2004, IEEE Transactions on Signal Processing.

[11]  Tareq Y. Al-Naffouri,et al.  Transient analysis of data-normalized adaptive filters , 2003, IEEE Trans. Signal Process..

[12]  H. Vincent Poor,et al.  Joint channel estimation and symbol detection in Rayleigh flat-fading channels with impulsive noise , 1997, IEEE Communications Letters.

[13]  Tareq Y. Al-Naffouri,et al.  Transient analysis of adaptive filters with error nonlinearities , 2003, IEEE Trans. Signal Process..

[14]  Neil J. Bershad.  On Error Saturation Nonlinearities for LMS Adaptation in Impulsive Noise , 2008, IEEE Transactions on Signal Processing.

[15]  Tareq Y. Al-Naffouri,et al.  Adaptive Filters with Error Nonlinearities: Mean-Square Analysis and Optimum Design , 2001, EURASIP J. Adv. Signal Process..