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Bernoulli generalized likelihood ratio test for signal detection from photon counting images

Hu, Mengya (Mia) and Sun, He and Harness, Anthony and Kasdin, N. Jeremy (2021) Bernoulli generalized likelihood ratio test for signal detection from photon counting images. Journal of Astronomical Telescopes, Instruments, and Systems, 7 (2). Art. No. 028006. ISSN 2329-4124. doi:10.1117/1.jatis.7.2.028006. https://resolver.caltech.edu/CaltechAUTHORS:20210821-165843612

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Abstract

Because exoplanets are extremely dim, an electron multiplying charge-coupled device operating in photon counting (PC) mode is necessary to reduce the detector noise level and enable their detection. Typically, PC images are added together as a co-added image before processing. We present a signal detection and estimation technique that works directly with individual PC images. The method is based on the generalized likelihood ratio test (GLRT) and uses a Bernoulli distribution between PC images. The Bernoulli distribution is derived from a stochastic model for the detector, which accurately represents its noise characteristics. We show that our technique outperforms a previously used GLRT method that relies on co-added images under a Gaussian noise assumption and two detection algorithms based on signal-to-noise ratio. Furthermore, our method provides the maximum likelihood estimate of exoplanet intensity and background intensity while doing detection. It can be applied online, so it is possible to stop observations once a specified threshold is reached, providing confidence for the existence (or absence) of planets. As a result, the observation time is efficiently used. In addition to the observation time, the analysis of detection performance introduced in the paper also gives quantitative guidance on the choice of imaging parameters, such as the threshold. Lastly, though our work focuses on the example of detecting point source, the framework is widely applicable.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1117/1.jatis.7.2.028006DOIArticle
https://arxiv.org/abs/2005.09808arXivDiscussion Paper
ORCID:
AuthorORCID
Hu, Mengya (Mia)0000-0003-4867-1367
Sun, He0000-0003-1526-6787
Harness, Anthony0000-0002-1300-4321
Kasdin, N. Jeremy0000-0002-6963-7486
Alternate Title:A Sequential Generalized Likelihood Ratio Test for Signal Detection from Photon Counting Images
Additional Information:© The Authors. Published by SPIE under a Creative Commons Attribution 4.0 Unported License. Distribution or reproduction of this work in whole or in part requires full attribution of the original publication, including its DOI. Paper 20141 received Sep. 17, 2020; accepted for publication May 20, 2021; published online Jun. 17, 2021. This work was supported by Caltech-JPL NASA under Grant No. NNN12AA01C. The authors would like to thank the anonymous reviewers for the insightful comments, especially for suggesting the comparison with methods based on SNR defined with our Bernoulli model results. The authors have no relevant financial interests in the paper and no other potential conflicts of interest to disclose.
Funders:
Funding AgencyGrant Number
NASANNN12AA01C
Subject Keywords:signal detection; photon counting mode; starshade; high contrast imaging; direct imaging; exoplanet detection
Issue or Number:2
DOI:10.1117/1.jatis.7.2.028006
Record Number:CaltechAUTHORS:20210821-165843612
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20210821-165843612
Official Citation:Mengya (Mia) Hu, He Sun, Anthony Harness, and N. Jeremy Kasdin "Bernoulli generalized likelihood ratio test for signal detection from photon counting images," Journal of Astronomical Telescopes, Instruments, and Systems 7(2), 028006 (17 June 2021). https://doi.org/10.1117/1.JATIS.7.2.028006
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:110371
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:21 Aug 2021 17:28
Last Modified:21 Aug 2021 17:28

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