Abstract
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 unbiased estimators of beam position. Furthermore, we have also derived the Cramer-Rao lower bounds of other system parameters such as signal peak intensity, and dark current noise power, on the array. In this sense, we have considered robust estimation of 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 and noise 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 signal peak and dark current noise intensities are estimated using a method of moments estimator, and the beam center position is estimated with the help of a maximum likelihood estimator.
Highlights
F REE-SPACE optical (FSO) communications is an important technology that will help us support high data rates between satellites in deep-space communication systems [1]
We have considered the optical beam position estimation on a photon-counting detector array as part of “fine beam tracking” component in a deep space optical communication receiver
LITERATURE REVIEW There is a significant number of studies carried out on research in pointing, acquisition and tracking (PAT) systems in FSO that treat the beam position estimation/tracking problem purely from a hardware point-of-view
Summary
F REE-SPACE optical (FSO) communications is an important technology that will help us support high data rates between satellites in deep-space communication systems [1]. BACKGROUND LITERATURE REVIEW There is a significant number of studies carried out on research in pointing, acquisition and tracking (PAT) systems in FSO that treat the beam position estimation/tracking problem purely from a hardware point-of-view In this respect, [2] provides a detailed overview of the current stateof-the-art hardware solutions for optical beam tracking. The authors in [11] investigate a slightly different optimization problem concerning pointing: They consider the maximization of link availability as a function of beam radius (for fixed signal power) In addition to these papers, the interested reader may be directed to [12]–[15] for a detailed study on the performance of FSO systems when the optical channel suffers degradation due to pointing errors for a single-detector receiver.
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