Veritas: an admissible detector for targets of unknown strength

James Theiler

doi:10.1117/12.2586125

12 April 2021 Veritas: an admissible detector for targets of unknown strength

James Theiler

Proceedings Volume 11727, Algorithms, Technologies, and Applications for Multispectral and Hyperspectral Imaging XXVII; 117270B (2021) https://doi.org/10.1117/12.2586125
Event: SPIE Defense + Commercial Sensing, 2021, Online Only

Abstract

Inspired by the comic faux-Latin aphorism veritas duo sigma" (truth at two sigmas), an approach to target detection is proposed based on a likelihood ratio test in which the unknown target strength is treated as known, with strength chosen to correspond to a minimal level of detectability. For Gaussian distributions, this strength typically corresponds to two or three sigmas. This detector is admissible, which means that there is no other detector that is uniformly superior to it. The simplicity of the veritas detector permits closed-form solutions to be derived for a variety of signal detection problems. In a series of numerical experiments, these simple detectors are compared to traditional detectors, such as the locally most powerful detector and the generalized likelihood ratio test detector.

Conference Presentation

Citation Download Citation

James Theiler "Veritas: an admissible detector for targets of unknown strength", Proc. SPIE 11727, Algorithms, Technologies, and Applications for Multispectral and Hyperspectral Imaging XXVII, 117270B (12 April 2021); https://doi.org/10.1117/12.2586125

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