Optimum localization of multiple sources by passive arrays
Abstract
The maximum likelihood (ML) estimator of the location of multiple sources and the corresponding CramerRao lower bound on the error covariance matrix are derived. The derivation is carried out for the general case of correlated sources so that multipath propagation is included as a special case. It is shown that the ML processor consists of a bank of beamformers, each focused to a different source, followed by a variable matrixfilter that is controlled by the assumed location of the sources. In the special case of uncorrelated sources and very low signaltonoise ratio this processor reduces to an aggregate of ML processors for a single source with each processor matched to a different source. Iterative algorithms for the actual computation of the ML estimator are also presented.
 Publication:

IEEE Transactions on Acoustics Speech and Signal Processing
 Pub Date:
 October 1983
 Bibcode:
 1983ITASS..31.1210W
 Keywords:

 Estimators;
 Maximum Likelihood Estimates;
 Position (Location);
 Radiation Sources;
 Signal Transmission;
 Arrays;
 Iterative Solution;
 Matrices (Mathematics);
 Communications and Radar