Optimal linear estimation of binary star parameters

Daniel Burke, Nicholas Devaney, Szymon Gladysz, Harrison H Barrett, Meridith Kathryn Kupinski, Luca Caucci

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

3 Citations (Scopus)

Abstract

We propose a new post-processing technique for the detection of faint companions and the estimation of their parameters from adaptive optics (AO) observations. We apply the optimal linear detector, which is the Hotelling observer, to perform detection, astrometry and photometry on real and simulated data. The real data was obtained from the AO system on the 3m Lick telescope 1. The Hotelling detector, which is a prewhitening matched filter, calculates the Hotelling test statistic which is then compared to a threshold. If the test statistic is greater than the threshold the algorithm decides that a companion is present. This decision is the main task performed by the Hotelling observer. After a detection is made the location and intensity of the companion which maximise this test statistic are taken as the estimated values. We compare the Hotelling approach with current detection algorithms widely used in astronomy. We discuss the use of the estimation receiver operating characteristic (EROC) curve in quantifying the performance of the algorithm with no prior estimate of the companion's location or intensity. The robustness of this technique to errors in point spread function (PSF) estimation is also investigated.

Original languageEnglish (US)
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
Volume7015
DOIs
StatePublished - 2008
EventAdaptive Optics Systems - Marseille, France
Duration: Jun 23 2008Jun 26 2008

Other

OtherAdaptive Optics Systems
CountryFrance
CityMarseille
Period6/23/086/26/08

Fingerprint

Linear Estimation
Optimal Estimation
binary stars
Stars
Star
Adaptive optics
Statistics
Binary
Test Statistic
statistics
Adaptive Optics
adaptive optics
Detectors
Observer
Photometry
prewhitening
Astronomy
Matched filters
Optical transfer function
Detector

ASJC Scopus subject areas

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

Cite this

Burke, D., Devaney, N., Gladysz, S., Barrett, H. H., Kupinski, M. K., & Caucci, L. (2008). Optimal linear estimation of binary star parameters. In Proceedings of SPIE - The International Society for Optical Engineering (Vol. 7015). [70152J] https://doi.org/10.1117/12.788973

Optimal linear estimation of binary star parameters. / Burke, Daniel; Devaney, Nicholas; Gladysz, Szymon; Barrett, Harrison H; Kupinski, Meridith Kathryn; Caucci, Luca.

Proceedings of SPIE - The International Society for Optical Engineering. Vol. 7015 2008. 70152J.

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

Burke, D, Devaney, N, Gladysz, S, Barrett, HH, Kupinski, MK & Caucci, L 2008, Optimal linear estimation of binary star parameters. in Proceedings of SPIE - The International Society for Optical Engineering. vol. 7015, 70152J, Adaptive Optics Systems, Marseille, France, 6/23/08. https://doi.org/10.1117/12.788973
Burke D, Devaney N, Gladysz S, Barrett HH, Kupinski MK, Caucci L. Optimal linear estimation of binary star parameters. In Proceedings of SPIE - The International Society for Optical Engineering. Vol. 7015. 2008. 70152J https://doi.org/10.1117/12.788973
Burke, Daniel ; Devaney, Nicholas ; Gladysz, Szymon ; Barrett, Harrison H ; Kupinski, Meridith Kathryn ; Caucci, Luca. / Optimal linear estimation of binary star parameters. Proceedings of SPIE - The International Society for Optical Engineering. Vol. 7015 2008.
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