A Generic Simulation Approach for the Fast and Accurate Estimation of the Outage Probability of Single Hop and Multihop FSO Links Subject to Generalized Pointing Errors

Issaid, Chaouki Ben; Park, Kihong; Alouini, Mohamed‐Slim

doi:10.1109/twc.2017.2731947

Cited by 26 publications

(17 citation statements)

References 36 publications

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“…where F H (h 0 ) = P (H ≤ h 0 ) is the CDF of H evaluated at h 0 . In the remainder of this section, we will be interested in determining the LCR and the AOD of H. The CDF of H presents a lower bound for the outage probability of the multihop system (see [23] and Section IV of [24] for more details on how to obtain this lower bound). Since {h a,i } N i=1 are lognormal RVs, then H a is also a lognormal RV with PDF…”

Section: Lcr and Aod Computationmentioning

confidence: 99%

Level Crossing Rate and Average Outage Duration of Free Space Optical Links

Issaid

Alouini

2019

IEEE Trans. Commun.

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The level crossing rate (LCR) and the average outage duration (AOD) are two important second order statistics that allow a deeper understanding of the behavior of the channel. In this paper, we study these metrics in order to assess the performance of free space optical (FSO) communication links in the presence of weak atmospheric turbulence and Rice-induced pointing errors. More specifically, we derive an integral and a Gauss-Laguerre quadrature representation for both the LCR and the AOD in the single hop case and for their respective bounds in the multihop case. Selected numerical simulations are presented to show the accuracy of the derived results and to study the effect of certain system parameters on these two performance metrics.

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Section: Lcr and Aod Computationmentioning

confidence: 99%

Level Crossing Rate and Average Outage Duration of Free Space Optical Links

Issaid

Alouini

2019

IEEE Trans. Commun.

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“…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 singledetector receiver.…”

Section: L R C /O T P a Background Literature Reviewmentioning

confidence: 99%

Cramér–Rao Bounds for Beam Tracking With Photon Counting Detector Arrays in Free-Space Optical Communications

Bashir

Tsai

Alouini

2021

IEEE Open J. Commun. Soc.

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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 Cramér-Rao lower bounds on the mean-square error of unbiased estimators of beam position. Furthermore, we have also derived the Cramér-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 Cramér-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.

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“…There are a number of probability distributions with which the pointing error at the receiver can be modeled: i) Rayleigh, if the error in θ beamwidth (radians) φ angle-of-arrival at receiver γ angle-of-arrival variance to beamwidth squared ratio σ 2 θ 2 α attenuation coefficient due to fog/dirt σ 2 angle-of-arrival variance P t transmitted power by first relay M total number of hops in backhaul z m hop distance of mth hop 0 ≤ m ≤ M − 1 z hop distance vector P u power rating (maximum power) of a relay G u gain rating (maximum gain) of a relay a aperture radius D total backhaul link distance σ 2 n receiver thermal noise variance each of the two dimensions are zero-mean i.i.d Gaussian random variables, and ii) the Beckmann model which is a more general model than Rayleigh distribution that caters to nonzero-mean errors with unequal variance in the two dimensions [5]. For more literature on generalized pointing error models, the reader is referred to [6], [7], [8].…”

Section: Imentioning

confidence: 99%

Optimal Placement of UAV-Assisted Amplify-and-Forward Relays for Mitigation of Pointing Error in Optical Wireless Backhaul

Bashir¹,

Alouini²

2021

Preprint

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The angular instability of unmanned-aerial-vehicle (UAV) relays as well as the turbulence-induced beam wander may lead to significant pointing error in free-space optical backhaul. The hop distance between each relay in a serial relay scheme is an important parameter that can be optimized in order to enhance the performance of the system. In this study, we have optimized the error and outage probabilities as a function of the hop distance vector for amplify-and-forward relays (AF) under a number of constraints such as the maximum and average relay power and the maximum relay gain. We have discovered that for the unconstrained optimization problem, the optimum hop distances is a strictly increasing sequence for both the error and outage probabilities. For maximum power constraint optimization, the optimum hop distances form a strictly increasing sequence, whereas for maximum gain constraint optimization, the optimum hop distances lead to a nondecreasing sequence. <br>

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A Generic Simulation Approach for the Fast and Accurate Estimation of the Outage Probability of Single Hop and Multihop FSO Links Subject to Generalized Pointing Errors

Cited by 26 publications

References 36 publications

Level Crossing Rate and Average Outage Duration of Free Space Optical Links

Level Crossing Rate and Average Outage Duration of Free Space Optical Links

Cramér–Rao Bounds for Beam Tracking With Photon Counting Detector Arrays in Free-Space Optical Communications

Optimal Placement of UAV-Assisted Amplify-and-Forward Relays for Mitigation of Pointing Error in Optical Wireless Backhaul

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