Robust Adaptive Minimum Entropy Beamformer in Impulsive Noise

This paper considers the problem of adaptive beamforming in alpha-stable (non-Gaussian) noise using the constrained minimum output entropy (MOE) based algorithm. Following the same rational that lead to the least mean p-norm (LMP), the weight update adjustment for minimum output entropy is constrained by statistics higher than second order. Also, the MOE algorithm is very robust to impulsive noise due to its M-estimator property derived from the fact that MOE constrains the output entropy. We explain these results analytically, and through simulations.

[1]  J. Capon High-resolution frequency-wavenumber spectrum analysis , 1969 .

[2]  L. E. Brennan,et al.  Adaptive arrays in airborne MTI radar , 1976 .

[3]  Jeffrey L. Krolik,et al.  The performance of matched-field beamformers with Mediterranean vertical array data , 1996, IEEE Trans. Signal Process..

[4]  R. Adler,et al.  A practical guide to heavy tails: statistical techniques and applications , 1998 .

[5]  Chrysostomos L. Nikias,et al.  Robust adaptive beamforming in alpha-stable noise environments , 1996, 1996 IEEE International Conference on Acoustics, Speech, and Signal Processing Conference Proceedings.

[6]  B. Ripley,et al.  Robust Statistics , 2018, Encyclopedia of Mathematical Geosciences.

[7]  Theodore S. Rappaport,et al.  Smart antennas: Adaptive arrays, algorithms, & wireless position location , 1998 .

[8]  Deniz Erdogmus,et al.  An error-entropy minimization algorithm for supervised training of nonlinear adaptive systems , 2002, IEEE Trans. Signal Process..

[9]  Zhi-Quan Luo,et al.  Robust adaptive beamforming using worst-case performance optimization: a solution to the signal mismatch problem , 2003, IEEE Trans. Signal Process..

[10]  O. L. Frost,et al.  An algorithm for linearly constrained adaptive array processing , 1972 .

[11]  Alexander G. Sazontov,et al.  Deep-water acoustic coherence at long ranges: theoretical prediction and effects on large-array signal processing , 1999 .

[12]  C. L. Nikias,et al.  Angle/Doppler estimation in heavy-tailed clutter backgrounds , 1999 .

[13]  Deniz Erdoğmuş,et al.  Online entropy manipulation: stochastic information gradient , 2003, IEEE Signal Processing Letters.

[14]  C. L. Nikias,et al.  Signal processing with fractional lower order moments: stable processes and their applications , 1993, Proc. IEEE.

[15]  M. Taqqu,et al.  Stable Non-Gaussian Random Processes : Stochastic Models with Infinite Variance , 1995 .

[16]  B.D. Van Veen,et al.  Beamforming: a versatile approach to spatial filtering , 1988, IEEE ASSP Magazine.

[17]  Peter J. Huber,et al.  Robust Statistics , 2005, Wiley Series in Probability and Statistics.

[18]  W. Linde STABLE NON‐GAUSSIAN RANDOM PROCESSES: STOCHASTIC MODELS WITH INFINITE VARIANCE , 1996 .

[19]  B. Widrow,et al.  Adaptive antenna systems , 1967 .