Characterizing detection thresholds using extreme value theory in compressive noise radar imaging

Mahesh C. Shastry; Ram M. Narayanan; Muralidhar Rangaswamy

doi:10.1117/12.2016899

31 May 2013 Characterizing detection thresholds using extreme value theory in compressive noise radar imaging

Mahesh C. Shastry, Ram M. Narayanan, Muralidhar Rangaswamy

Proceedings Volume 8717, Compressive Sensing II; 87170B (2013) https://doi.org/10.1117/12.2016899
Event: SPIE Defense, Security, and Sensing, 2013, Baltimore, Maryland, United States

Abstract

An important outcome of radar signal processing is the detection of the presence or absence of target reflections at each pixel location in a radar image. In this paper, we propose a technique based on extreme value theory for characterizing target detection in the context of compressive sensing. In order to accurately characterize target detection in radar systems, we need to relate detection thresholds and probabilities of false alarm. However, when convex optimization algorithms are used for compressive radar imaging, the recovered signal may have unknown and arbitrary probability distributions. In such cases, we resort to Monte Carlo simulations to construct empirical distributions. Computationally, this approach is impractical for computing thresholds for low probabilities of false alarm. We propose to circumvent this problem by using results from extreme-value theory.

Citation Download Citation

Mahesh C. Shastry, Ram M. Narayanan, and Muralidhar Rangaswamy "Characterizing detection thresholds using extreme value theory in compressive noise radar imaging", Proc. SPIE 8717, Compressive Sensing II, 87170B (31 May 2013); https://doi.org/10.1117/12.2016899

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