Bayesian Radar Detection with Orthogonal Rejection

Chengpeng HAO; Xiuqin SHANG; Francesco BANDIERA; Long CAI

doi:10.1587/transfun.E95.A.596

Bayesian Radar Detection with Orthogonal Rejection

Chengpeng HAO, Xiuqin SHANG, Francesco BANDIERA, Long CAI

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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.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E95-A No.2 pp.596-599

Publication Date: 2012/02/01

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Online ISSN: 1745-1337

DOI: 10.1587/transfun.E95.A.596

Type of Manuscript: LETTER

Category: Digital Signal Processing

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Chengpeng HAO, Xiuqin SHANG, Francesco BANDIERA, Long CAI, "Bayesian Radar Detection with Orthogonal Rejection" in IEICE TRANSACTIONS on Fundamentals, vol. E95-A, no. 2, pp. 596-599, February 2012, doi: 10.1587/transfun.E95.A.596.
Abstract: 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.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E95.A.596/_p

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@ARTICLE{e95-a_2_596,
author={Chengpeng HAO, Xiuqin SHANG, Francesco BANDIERA, Long CAI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Bayesian Radar Detection with Orthogonal Rejection},
year={2012},
volume={E95-A},
number={2},
pages={596-599},
abstract={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.},
keywords={},
doi={10.1587/transfun.E95.A.596},
ISSN={1745-1337},
month={February},}

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TY - JOUR
TI - Bayesian Radar Detection with Orthogonal Rejection
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 596
EP - 599
AU - Chengpeng HAO
AU - Xiuqin SHANG
AU - Francesco BANDIERA
AU - Long CAI
PY - 2012
DO - 10.1587/transfun.E95.A.596
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E95-A
IS - 2
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - February 2012
AB - 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.
ER -