Maximum likelihood estimation for array processing in colored noise

Authors:
V. Nagesha;S. Kay
Affiliations:
Dept. of Electr. Eng., Rhode Island Univ., Kingston, RI, USA;Dept. of Electr. Eng., Rhode Island Univ., Kingston, RI, USA
Venue:
ICASSP '93 Proceedings of the Acoustics, Speech, and Signal Processing, 1993. ICASSP-93 Vol 4., 1993 IEEE International Conference on - Volume 04
Year:
1993

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Estimation of spectral parameters of correlated signals in wavefields

Signal Processing

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Abstract

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.