Radio source parameter estimation by maximum likelihood processing of variable baseline correlation interferometer data

Details Radio source parameter estimation by maximum likelihood processing of variable baseline correlation interferometer data Radio source parameter estimation by maximum likelihood processing of variable baseline correlation interferometer data

Mar 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976itap...24..163e&link_type=abstract

IEEE Transactions on Antennas and Propagation, vol. AP-24, Mar. 1976, p. 163-173. National Research Council of Canada

Mathematics

Probability

Electromagnetic Interference, Interferometry, Maximum Likelihood Estimates, Noise Intensity, Noise Measurement, Radio Signals, Signal To Noise Ratios, Background Noise, Computerized Simulation, Covariance, Point Sources, Probability Density Functions, Radio Astronomy, Radio Receivers, Statistical Analysis

Scientific paper

A statistical approach is presented for the accurate determination of the two basic parameters of a point noise source - direction and strength - from a set of M measurements spaced a half wavelength apart and obtained by a variable baseline correlation interferometer. The measurements are corrupted by the additive background and receiver noises at the interferometer antennas and by the finite integration time of a practical correlator. The probability density function of the measurements is derived and the direction and strength are jointly estimated by the maximum likelihood method. It is shown that the estimates are virtually unbiased with variances that effectively attain the standard Cramer-Rao lower bound when the number of measurements exceeds a threshold which is a decreasing function of the measurements' SNR. The problem discussed in this paper is directly encountered in such areas as radio astronomy and passive direction finding.

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