Maximum likelihood estimation for array processing in colored noise

The problem of direction of arrival estimation of multiple sources in noise with unknown covariance is considered. The noise is modeled as a spatial autoregressive process with unknown parameters. An approximate maximum likelihood estimator (MLE) of the signal and noise parameters is derived. It requires numerical maximization of a compressed likelihood function over the unknown arrival angles. Analytical expressions for the MLEs of the signal covariance and the autoregressive (AR) parameters are given.<<ETX>>

[1]  James P. Reilly,et al.  Maximum likelihood estimation for array processing in unknown noise environments , 1992, [Proceedings] ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[2]  John D. Healy Maximum likelihood estimation of a multivariate linear functional relationship , 1980 .

[3]  Franklin A. Graybill,et al.  Theory and Application of the Linear Model , 1976 .

[4]  Mati Wax Detection and localization of multiple sources in noise with unknown covariance , 1992, IEEE Trans. Signal Process..

[5]  Petre Stoica,et al.  Performance study of conditional and unconditional direction-of-arrival estimation , 1990, IEEE Trans. Acoust. Speech Signal Process..

[6]  Venkatesh Nagesha,et al.  Maximum likelihood estimation of signals in autoregressive noise , 1994, IEEE Trans. Signal Process..

[7]  Steven Kay,et al.  Spectral analysis based on the canonical autoregressive decomposition , 1991, [Proceedings] ICASSP 91: 1991 International Conference on Acoustics, Speech, and Signal Processing.

[8]  Shelemyahu Zacks,et al.  The Theory of Statistical Inference. , 1972 .

[9]  Jean-Pierre Le Cadre Parametric methods for spatial signal processing in the presence of unknown colored noise fields , 1989, IEEE Trans. Acoust. Speech Signal Process..

[10]  W. N. Venables,et al.  Estimation of Variance Components and Applications. , 1990 .

[11]  Petre Stoica,et al.  MUSIC, maximum likelihood, and Cramer-Rao bound , 1989, IEEE Transactions on Acoustics, Speech, and Signal Processing.

[12]  J. Kiefer,et al.  CONSISTENCY OF THE MAXIMUM LIKELIHOOD ESTIMATOR IN THE PRESENCE OF INFINITELY MANY INCIDENTAL PARAMETERS , 1956 .

[13]  Thomas Kailath,et al.  Eigenstructure methods for direction of arrival estimation in the presence of unknown noise fields , 1986, IEEE Trans. Acoust. Speech Signal Process..

[14]  J. Neyman,et al.  Consistent Estimates Based on Partially Consistent Observations , 1948 .

[15]  J. F. Böhme,et al.  Estimation of spectral parameters of correlated signals in wavefields , 1986 .

[16]  Maurice G. Kendall The advanced theory of statistics , 1958 .

[17]  Bjorn Ottersten,et al.  An instrumental variable approach to array processing in spatially correlated noise fields , 1992, [Proceedings] ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[18]  T. W. Anderson Estimating Linear Statistical Relationships , 1984 .

[19]  Surendra Prasad,et al.  A transform-based covariance differencing approach for some classes of parameter estimation problems , 1988, IEEE Trans. Acoust. Speech Signal Process..