Abstract
A number of methods have been developed to analyze the response of the linear phased array radar. These perform remarkably well when the number of sources is known, but in cases where a determination of this number is required, problems are often encountered. These problems can be resolved by a Bayesian approach.
Here, a linear phased-array consisting of equally spaced elements is considered. Analytic expressions for the posterior probability distribution over source positions and amplitudes, and the corresponding Hessians are derived. These are integrated to give the evidence for each model order.
Tests using model data showed that performance at the second level of inference is critically determined by the accuracy of position estimation. If adequate parameter optimization is available, the Bayesian approach is demonstrated to work well, even in extreme circumstances. A commonly employed method of source location, noise subspace eigenanalysis of the correlation matrix, was tried and found to be inadequate. A Newton-Raphson optimization was then used starting from the positions predicted by eigenanalysis.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
J. Reilly, J. Litva, P. Bauman, “New Angle-of-Arrival Estimator: Comparative Evaluation Applied to the Low Angle Tracking Problem”, proc. IEEE 135F, 5, 1988.
S.M. Kay, S.L. Marple, “Spectrum Analysis: A Modern Perspective”, proc. IEEE 69, 11, 1981.
S. Alaykin, “Adaptive Filter Theory”, Prentice Hall Information and System Sciences Series.
G.L. Bretthorst, “Bayesian Spectrum Analysis and Parameter Estimation”, Lecture notes in statistics, Springer-Verlag, 1990.
S.F. Gull, “Bayesian Inductive Inference and Maximum Entropy”, in Maximum Entropy and Bayesian Methods in Science and Engineering, Vol. 1, Foundations, ed. G.J. Erickson and C.R. Smith, pp. 53–74, Kluwer, 1988.
E.T. Jaynes, “Bayesian Methods: General Background”, in Maximum Entropy and Bayesian methods in applied statistics, ed. J.H. Justice. pp. 1–25. C.U.P. 1986.
D.J.C. MacKay, `Bayesian Interpolation“, Neural Computation 4, 415–447, 1992.
J.P. Burg, D.G. Luenberger, D.L. Wenger, “Estimation of Structured Covariance Matrices”, proc. IEEE 70 9, 1982.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1996 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Green, A.G., MacKay, D.J.C. (1996). Bayesian Analysis of Linear Phased-Array Radar. In: Heidbreder, G.R. (eds) Maximum Entropy and Bayesian Methods. Fundamental Theories of Physics, vol 62. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8729-7_24
Download citation
DOI: https://doi.org/10.1007/978-94-015-8729-7_24
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4407-5
Online ISBN: 978-94-015-8729-7
eBook Packages: Springer Book Archive