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

Mahesh C. Shastry, Ram Mohan Narayanan, Muralidhar Rangaswamy

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

3 Scopus citations

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.

Original languageEnglish (US)
Title of host publicationCompressive Sensing II
DOIs
StatePublished - Aug 8 2013
EventCompressive Sensing II - Baltimore, MD, United States
Duration: May 2 2013May 3 2013

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume8717
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X

Other

OtherCompressive Sensing II
CountryUnited States
CityBaltimore, MD
Period5/2/135/3/13

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

Fingerprint Dive into the research topics of 'Characterizing detection thresholds using extreme value theory in compressive noise radar imaging'. Together they form a unique fingerprint.

  • Cite this

    Shastry, M. C., Narayanan, R. M., & Rangaswamy, M. (2013). Characterizing detection thresholds using extreme value theory in compressive noise radar imaging. In Compressive Sensing II [87170B] (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 8717). https://doi.org/10.1117/12.2016899