Novel approximate and asymptotic expressions of the outage probability and BER in gamma–gamma fading FSO links with generalized pointing errors

Yu, Siyuan; Ding, Junrong; Fu, Yulong; Ma, Jing; Tan, Liying

doi:10.1016/j.optcom.2018.11.021

Cited by 18 publications

(7 citation statements)

References 22 publications

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“…Note that D = 0:1 m for all of the figures in Figure 2 and Table 1. Other system configuration parameters, such as L and λ, have been used in most practical terrestrial FSO systems [25,33]. These are shown in Section 4.…”

Section: Ks Goodness-of-fit Testsmentioning

confidence: 99%

Parameter Estimation of Gamma‐Gamma Fading with Generalized Pointing Errors in FSO Systems

Miao

Cai

2021

Wireless Communications and Mobile Computing

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In this paper, the challenges of parameter estimation for the Gamma-Gamma turbulence channels with generalized pointing errors are addressed. The Kolmogorov-Smirnov goodness-of-fit statistical test results indicate that the approximate probability density function obtained by the saddlepoint approximation (SAP) method provides a better approximation for a larger value w z , and this means that the proposed method is more efficient for the FSO links over long distances when the transmit divergence angle at the transmitter side is fixed. Also, an additional parameter k needs to be estimated in addition to the shaping parameters α and β under the SAP method. An estimation scheme for the shaping parameters is proposed based on the SAP method. The performance of the proposed estimation is investigated by using the mean square error (MSE) and normalized mean square error (NMSE). The results indicate the proposed estimator exhibits satisfactory performance in both noiseless and noisy environments. The effects of the receiver aperture on the estimation performance are also discussed.

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Section: Ks Goodness-of-fit Testsmentioning

confidence: 99%

Parameter Estimation of Gamma‐Gamma Fading with Generalized Pointing Errors in FSO Systems

Miao

Cai

2021

Wireless Communications and Mobile Computing

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“…An outage probability

P_{out}

is defined by the possibilityof that the instantaneous SNR( h ) going under a certain threshold SNR

_{th}

, and given by [10, 31]

\begin{matrix} right left0.278em3pt \\ P_{out} = & P_{normalr} (SNR (h) < {SNR}_{th}) \\ = & P_{normalr} (h < γ_{o}) = F_{normalh} (γ_{o}), \end{matrix}

where

γ_{o} = \sqrt{{SNR}_{th} / \bar{SNR}}

can be calculated using (16), and

F_{h} false(γ_{o} false)

is the well known cumulative distribution function of h , defined as

F_{h} false(γ_{o} false) = \int_{0}^{γ_{o}} f_{h} false(h false) normald h .

Substituting (12) and (29) into (28), the outage probability of

scriptM

turbulence channel with non‐zero boresight and MPPM modulation is obtained as

\begin{matrix} right left0.278em3pt \\ P_{out, M} = \int_{0}^{h_{0}} & \sum_{k = 1}^{β} \sum_{j = 0}^{J} \frac{1}{j!} {()(, \frac{α β}{A_{0} h_{l} false(g β + \overset{´}{normalΩ} false)})}^{normalj} \\ \times (v_{j}) \end{matrix}

…”

Section: Proposed Expressions For Close‐form and Asymptotic Aser Anmentioning

confidence: 99%

“…While K ‐distribution is used to represent strong turbulence [8, 9]. The combined effect of atmospheric turbulence and PEs is further investigated in [10] for gamma–gamma channel with Rician model. Log‐normal and gamma—gamma/Rician are studied in [2] while gamma–gamma/Raylight is shown in [11].…”

Section: Introductionmentioning

confidence: 99%

Generic evaluation of FSO system over Málaga turbulence channel with MPPM and non‐zero‐boresight pointing errors

2020

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“…Because of the lack of single-layer phase screen simulation with pointing errors, theoretical results for the long-term average irradiance or irradiance fluctuation PDF for mobile FSOC have seldom been verified through simulated turbulence distorted optical fields under pointing errors [26]- [34]. Thus, to verify the theoretical results of FSOC performance, the Monte-Carlo method is adopted [30], [32]- [34] to directly generate the irradiance fluctuation PDF, instead of mathematical statistics on the simulated turbulence-distorted optical fields with pointing errors.…”

Section: Introductionmentioning

confidence: 99%

Single-Layer Phase Screen With Pointing Errors for Free Space Optical Communication

Liu

Jiang

et al. 2021

IEEE Access

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Single-layer phase screen is a classical, simple and accurate approach for simulating the optical field under turbulence, and it is generally used in free space optical communication (FSOC). However, conventional single-layer phase screen studies have rarely considered the pointing errors from FSOC, which prevents the theoretical results for mobile FSOC from being verified using simulated optical fields. This work establishes a simulation method for the single-layer phase screen with pointing errors. Statistics on simulated optical field with pointing errors indicated that the previous theoretical results for the long-term average irradiance and irradiance fluctuation probability density function (PDF) for mobile FSOC can be modified to better fit the simulation results. In addition, the received power fluctuation PDF, average bit-error-rate (BER), and the influence of non-zero mean pointing errors are investigated through the simulated optical field with pointing errors. The proposed simulation method provides a powerful approach for understanding and evaluating the comprehensive influences of atmospheric turbulence and pointing errors on the FSOC.

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Novel approximate and asymptotic expressions of the outage probability and BER in gamma–gamma fading FSO links with generalized pointing errors

Cited by 18 publications

References 22 publications

Parameter Estimation of Gamma‐Gamma Fading with Generalized Pointing Errors in FSO Systems

Parameter Estimation of Gamma‐Gamma Fading with Generalized Pointing Errors in FSO Systems

Generic evaluation of FSO system over Málaga turbulence channel with MPPM and non‐zero‐boresight pointing errors

Single-Layer Phase Screen With Pointing Errors for Free Space Optical Communication

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