Array processing in non-Gaussian noise with the EM algorithm

A central problem in sensor array processing is the localization of multiple sources and the reception of the signals emitted by those sources. Many approaches have been studied for this problem when the additive noise in the sensor array data is modeled with a Gaussian distribution. However, the schemes designed for Gaussian noise typically perform very poorly when the noise is non-Gaussian. An algorithm is presented for array processing in non-Gaussian noise. The algorithm is based on modeling the noise with a Gaussian mixture distribution. The expectation-maximization (EM) algorithm is then used to derive an iterative processing structure that estimates the source locations, estimates the source waveforms, and adapts the processing to match the characteristics of the noise. Simulation examples are presented to illustrate the performance of the algorithm.

[1]  A. Spaulding,et al.  Optimum Reception in an Impulsive Interference Environment - Part I: Coherent Detection , 1977, IEEE Transactions on Communications.

[2]  D. Middleton,et al.  Optimum Reception in an Impulsive Interference Environment - Part II: Incoherent Reception , 1977, IEEE Transactions on Communications.

[3]  D. Rubin,et al.  Maximum likelihood from incomplete data via the EM - algorithm plus discussions on the paper , 1977 .

[4]  Louis A. Liporace,et al.  Maximum likelihood estimation for multivariate observations of Markov sources , 1982, IEEE Trans. Inf. Theory.

[5]  R. Redner,et al.  Mixture densities, maximum likelihood, and the EM algorithm , 1984 .

[6]  S.A. Kassam,et al.  Robust techniques for signal processing: A survey , 1985, Proceedings of the IEEE.

[7]  Ehud Weinstein,et al.  Parameter estimation of superimposed signals using the EM algorithm , 1988, IEEE Trans. Acoust. Speech Signal Process..

[8]  Rangasami L. Kashyap,et al.  Robust maximum likelihood bearing estimation in contaminated Gaussian noise , 1990, Fifth ASSP Workshop on Spectrum Estimation and Modeling.

[9]  Michael I. Miller,et al.  Maximum-likelihood narrow-band direction finding and the EM algorithm , 1990, IEEE Trans. Acoust. Speech Signal Process..

[10]  Alfred O. Hero,et al.  Space-alternating generalized expectation-maximization algorithm , 1994, IEEE Trans. Signal Process..

[11]  Brian M. Sadler,et al.  Noise subspace techniques in non-gaussian noise using cumulants , 1995 .

[12]  Chrysostomos L. Nikias,et al.  Maximum likelihood localization of sources in noise modeled as a stable process , 1995, IEEE Trans. Signal Process..

[13]  T. Moon The expectation-maximization algorithm , 1996, IEEE Signal Process. Mag..

[14]  G. McLachlan,et al.  The EM algorithm and extensions , 1996 .

[15]  M. Viberg,et al.  Two decades of array signal processing research: the parametric approach , 1996, IEEE Signal Process. Mag..

[16]  R.S. Blum,et al.  Signal processing in non-Gaussian noise using mixture distributions and the EM algorithm , 1997, Conference Record of the Thirty-First Asilomar Conference on Signals, Systems and Computers (Cat. No.97CB36136).

[17]  A. Hero,et al.  SPACE-ALTERNATING GENERALIZED EM ALGORITHMS FOR PENALIZED MAXIMUM-LIKELIHOOD IMAGE RECONSTRUCTION , 1997 .

[18]  Rick S. Blum,et al.  An adaptive spatial diversity receiver for non-Gaussian interference and noise , 1997 .

[19]  A. Enis Çetin,et al.  Robust direction-of-arrival estimation in non-Gaussian noise , 1998, IEEE Trans. Signal Process..