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Bayesian Radar Detection with Orthogonal Rejection
Chengpeng HAO Xiuqin SHANG Francesco BANDIERA Long CAI
Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Vol.E95-A
No.2
pp.596-599 Publication Date: 2012/02/01 Online ISSN: 1745-1337
DOI: 10.1587/transfun.E95.A.596 Print ISSN: 0916-8508 Type of Manuscript: LETTER Category: Digital Signal Processing Keyword: bayesian detection, generalized likelihood ratio test (GLRT), heterogenous environments, orthogonal rejection,
Full Text: PDF(161.7KB)>>
Summary:
This letter focuses on the design of selective receivers for homogeneous scenarios where a very small number of secondary data are available. To this end, at the design stage it is assumed that the cell under test (CUT) contains a fictitious signal orthogonal to the nominal steering vector under the null hypothesis; the clutter covariance matrix is modeled as a random matrix with an inverse complex Wishart distribution. Under the above assumptions, we devise two Bayesian detectors based on the GLRT criterion, both one-step and two-step. It is shown that the proposed detectors have the same detection structure as their non-Bayesian counterparts, substituting the colored diagonal sample covariance matrix (SCM) for the classic one. Finally, a performance assessment, conducted by Monte Carlo simulations, has shown that our detectors ensure better rejection capabilities of mismatched signals than the existing Bayesian detectors, at the price of a certain loss in terms of detection of matched signals.
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