Robust Beam Position Estimation with Photon Counting Detector Arrays in Free-Space Optical Communications
Type
PreprintKAUST Department
Communication Theory LabComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Electrical Engineering Program
Date
2020-09-21Permanent link to this record
http://hdl.handle.net/10754/665446
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Optical beam center position on an array of detectors is an important parameter that is essential for estimating the angle-of-arrival of the incoming signal beam. In this paper, we have examined the beam position estimation problem for photon-counting detector arrays, and to this end, we have derived and analyzed the Cramer-Rao lower bounds on the mean-square error of the unbiased estimators of the beam position. Furthermore, we have also derived the Cramer-Rao lower bounds of other beam parameters such as peak intensity, and the intensity of background radiation on the array. In this sense, we have considered a robust estimation of the beam position in which none of the parameters are assumed to be known beforehand. Additionally, we have derived the Cramer-Rao lower bounds of beam parameters for observations based on both pilot and data symbols of a pulse position modulation (PPM) scheme. Finally, we have considered a two-step estimation problem in which the peak intensity and background radiation are estimated using a method of moments estimator, and the beam center position is estimated with the help of a maximum likelihood estimator.Citation
Bashir, M. S., Tsai, M.-C., & Alouini, M.-S. (2020). Robust Beam Position Estimation with Photon Counting Detector Arrays in Free-Space Optical Communications. doi:10.31224/osf.io/nqf3ySponsors
This work is supported by Office of Sponsored Research (OSR) at King Abdullah University of Science and Technology (KAUST).Publisher
Center for Open ScienceAdditional Links
https://osf.io/nqf3yae974a485f413a2113503eed53cd6c53
10.31224/osf.io/nqf3y
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Except where otherwise noted, this item's license is described as Archived with thanks to Center for Open Science