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Proceedings Paper

Optimal linear estimation of binary star parameters
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Paper 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 telescope1. 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.

Paper Details

Date Published: 10 July 2008
PDF: 12 pages
Proc. SPIE 7015, Adaptive Optics Systems, 70152J (10 July 2008); doi: 10.1117/12.788973
Show Author Affiliations
Daniel Burke, National Univ. of Ireland, Galway (Ireland)
Nicholas Devaney, National Univ. of Ireland, Galway (Ireland)
Szymon Gladysz, National Univ. of Ireland, Galway (Ireland)
Harrisson H. Barrett, College of Optical Sciences, Univ. of Arizona (United States)
Ctr. for Gamma Ray Imaging, Univ. of Arizona (United States)
Meredith K. Whitaker, College of Optical Sciences, Univ. of Arizona (United States)
Ctr. for Gamma Ray Imaging, Univ. of Arizona (United States)
Luca Caucci, College of Optical Sciences, Univ. of Arizona (United States)
Ctr. for Gamma Ray Imaging, Univ. of Arizona (United States)


Published in SPIE Proceedings Vol. 7015:
Adaptive Optics Systems
Norbert Hubin; Claire E. Max; Peter L. Wizinowich, Editor(s)

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