Determination of the angular coordinates of sources of radiation with a planar equidistant antenna array using the maximum-likelihood method

Authors

  • L. N. Konovalov
  • I. D. Merkulenko

DOI:

https://doi.org/10.3103/S073527271988010017

Abstract

A method of constructing maximum-likelihood estimates in the problem of determining the angular coordinates of the sources of a known number K of monochromatic signals from a single sample of observations from the outputs of a plane equidistant antenna array is considered. The solution of the problem is reduced to obtaining the roots of two K-degree polynomials, which determine the maximum-likelihood estimates of the direction cosines. The maximum-likelihood estimates of the vectors of the coefficients of these polynomials are determined by the eigenvectors corresponding to the minimum eigenvalues of two Hermitian matrices, the elements of which are known functions of the sufficient statistics in this problem. The results of an analysis of the quality of the estimates obtained are given.

References

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KAY, S.M.; MARPLE, S.L. Spectrum analysis—A modern perspective. Proc. IEEE, v.69, n.11, p.1380-1419, 1981. doi:http://dx.doi.org/10.1109/PROC.1981.12184.

REPIN, V.G.; TARTAKOVSKII, G.P. Statistical Synthesis in the Case of a Priori Ambiguity and Adaptation of Information Systems [in Russian]. Moscow: Sovetskoe Radio, 1977.

KORN, G.; KORN, T. Mathematical Handbook for Scientists and Engineers. Dover, 1968.

ANDERSON, T. An Introduction to Multivariate Statistical Analysis. Wiley, 1963.

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Published

1988-01-01

Issue

Vol. 31 No. 1 (1988)

Section

Research Articles