Estimation of structured covariance matrices for radar STAP under practical constraints

Bosung Kang, Vishal Monga, Muralidhar Rangaswamy

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    4 Scopus citations

    Abstract

    Estimation of the disturbance or interference covariance matrix plays a central role in radar target detection. Traditional maximum likelihood (ML) estimators lead to degraded false alarm and detection performance in the realistic regime of limited training. For this reason, structured covariance estimators have been actively researched. This paper reviews as well as proposes new structured covariance estimation methods which exploit physically motivated practical constraints. We first review the rank constrained maximum likelihood (RCML) estimator which explicitly incorporates the rank of the clutter subspace as a constraint in the ML problem. Next, we introduce an efficient approximation of structured covariance under joint Toeplitz and rank constraint (EASTR). In particular, we propose new quadratic optimization problems that enforce Toeplitz structure while preserving rank. Crucially, both the RCML estimator and the EASTR admit closed form solutions and hence facilitate real time implementation. We perform experimental evaluation in the form of normalized SINR, probability of detection, and whiteness tests. In each case, we compare against widely used existing estimators and show that exploiting the practical constraints has significant merits in covariance estimation.

    Original languageEnglish (US)
    Title of host publication2014 IEEE Radar Conference
    Subtitle of host publicationFrom Sensing to Information, RadarCon 2014
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages585-590
    Number of pages6
    ISBN (Print)9781479920341
    DOIs
    StatePublished - Jan 1 2014
    Event2014 IEEE Radar Conference, RadarCon 2014 - Cincinnati, OH, United States
    Duration: May 19 2014May 23 2014

    Publication series

    NameIEEE National Radar Conference - Proceedings
    ISSN (Print)1097-5659

    Other

    Other2014 IEEE Radar Conference, RadarCon 2014
    CountryUnited States
    CityCincinnati, OH
    Period5/19/145/23/14

    All Science Journal Classification (ASJC) codes

    • Electrical and Electronic Engineering

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  • Cite this

    Kang, B., Monga, V., & Rangaswamy, M. (2014). Estimation of structured covariance matrices for radar STAP under practical constraints. In 2014 IEEE Radar Conference: From Sensing to Information, RadarCon 2014 (pp. 585-590). [6875659] (IEEE National Radar Conference - Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/RADAR.2014.6875659