Asymptotic distribution of the conditional signal-to-noise ratio in an eigenanalysis-based adaptive array

Document Type

Article

Publication Date

12-1-1997

Abstract

The statistical characterization of the conditioned signal-to-noise ratio (SNR) of the sample matrix inversion (SMI) method has been known for some time. An eigenanalysis-based detection method, referred to as the eigencanceler, has been shown to be a useful alternative to SMI, when the interference has low rank. In this work, the density function of the conditioned SNR is developed for the eigencanceler. The development is based on the asymptotic expansion of the distribution of the principal components of the covariance matrix. It is shown that, unlike the SMI method, the eigencanceler yields a conditional SNR distribution that is dependent on the covariance matrix. It is further shown that simpler, covariance matrix-independent approximations can be found for the large interference-to-noise case. The new distribution is shown to be in good agreement with the numerical data obtained from simulations. © 1997 IEEE.

Identifier

0031192580 (Scopus)

Publication Title

IEEE Transactions on Aerospace and Electronic Systems

External Full Text Location

https://doi.org/10.1109/7.599322

ISSN

00189251

First Page

988

Last Page

997

Issue

3

Volume

33

Grant

F30602-94-1-0012

Fund Ref

Air Force Research Laboratory

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