TY - JOUR
T1 - Signal Acquisition with Photon-Counting Detector Arrays in Free-Space Optical Communications
AU - Bashir, Muhammad Salman
AU - Alouini, Mohamed Slim
N1 - Funding Information:
Manuscript received March 12, 2019; revised September 14, 2019 and December 8, 2019; accepted December 21, 2019. Date of publication February 3, 2020; date of current version April 9, 2020. This work was supported by the Office of Sponsored Research (OSR) at King Abdullah University of Science and Technology (KAUST). The associate editor coordinating the review of this article and approving it for publication was I. Guvenc. (Corresponding author: Muhammad Salman Bashir.) The authors are with the Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division, King Abdullah University of Science and Technology, Thuwal 23955-6900, Saudi Arabia (e-mail: muhammad.bashir@ fulbrightmail.org; [email protected]).
Funding Information:
This work was supported by the Office of Sponsored Research (OSR) at King Abdullah University of Science and Technology (KAUST).
Publisher Copyright:
© 2002-2012 IEEE.
PY - 2020/4/1
Y1 - 2020/4/1
N2 - Pointing and acquisition are an important aspect of free-space optical communications because of the narrow beamwidth associated with the optical signal. In this paper, we have analyzed the pointing and acquisition problem in free-space optical communications for photon-counting detector arrays and Gaussian beams. In this regard, we have considered the maximum likelihood detection for detecting the location of the array, and analyzed the one-shot probabilities of missed detection and false alarm using the scaled Poisson approximation. Moreover, the upper/lower bounds on the probabilities of missed detection and false alarm for one complete scan are also derived, and these probabilities are compared with Monte Carlo approximations for a few cases. Additionally, the upper bounds on the acquisition time and the mean acquisition time are also derived. The upper bound on mean acquisition time is minimized numerically with respect to the beam radius for a constant signal-to-noise ratio scenario. Finally, the complementary distribution function of an upper bound on acquisition time is also calculated in a closed form. Our study concludes that an array of smaller detectors gives a better acquisition performance (in terms of acquisition time) as compared to one large detector of similar dimensions as the array.
AB - Pointing and acquisition are an important aspect of free-space optical communications because of the narrow beamwidth associated with the optical signal. In this paper, we have analyzed the pointing and acquisition problem in free-space optical communications for photon-counting detector arrays and Gaussian beams. In this regard, we have considered the maximum likelihood detection for detecting the location of the array, and analyzed the one-shot probabilities of missed detection and false alarm using the scaled Poisson approximation. Moreover, the upper/lower bounds on the probabilities of missed detection and false alarm for one complete scan are also derived, and these probabilities are compared with Monte Carlo approximations for a few cases. Additionally, the upper bounds on the acquisition time and the mean acquisition time are also derived. The upper bound on mean acquisition time is minimized numerically with respect to the beam radius for a constant signal-to-noise ratio scenario. Finally, the complementary distribution function of an upper bound on acquisition time is also calculated in a closed form. Our study concludes that an array of smaller detectors gives a better acquisition performance (in terms of acquisition time) as compared to one large detector of similar dimensions as the array.
KW - acquisition
KW - acquisition time
KW - beam radius
KW - Free-space optical communications
KW - Gaussian beam
KW - photon-counting detector arrays
KW - probability of false alarm
KW - probability of missed detection
UR - http://www.scopus.com/inward/record.url?scp=85083182875&partnerID=8YFLogxK
U2 - 10.1109/TWC.2019.2962670
DO - 10.1109/TWC.2019.2962670
M3 - Article
AN - SCOPUS:85083182875
VL - 19
SP - 2181
EP - 2195
JO - IEEE Transactions on Wireless Communications
JF - IEEE Transactions on Wireless Communications
SN - 1536-1276
IS - 4
M1 - 8979264
ER -