Performance analysis of subcarrier intensity modulation using rectangular QAM over Malaga turbulence channels with integer and non‐integer <i>β</i>

Alheadary, Wael G.; Park, Kihong; Alouini, Mohamed‐Slim

doi:10.1002/wcm.2721

Cited by 14 publications

(5 citation statements)

References 31 publications

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“…We consider that channel conditions for the all hops are equal. Moreover, we consider Malaga turbulent channel with integer β as strong (β = 1, α = 2.04), moderate (β = 2, α = 2.296) and weak (β = 3, α = 2.4), which are considered in [16], Also, these values are subject to the standards in [8,26]. For non-integer β, the results will not be presented, while the results are approximately close to integer β case.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…They derived closed-form solutions of non-adaptive and adaptive modulation employing M-ary phase shift keying (M-PSK) and rectangular quadrature amplitude modulation (R-QAM), but they focused only on strong turbulence. In [16], we generalized the performance analysis of adaptive SIM systems over general Malaga channel without pointing error.…”

Section: Accepted Manuscriptmentioning

confidence: 99%

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Performance analysis of multihop heterodyne free-space optical communication over general Malaga turbulence channels with pointing error

Alheadary

Park

Alouini

2017

Optik

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This work investigates the end-to-end performance of a free space optical amplifyand-forward (AF) channel-state-information (CSI)-assisted relaying system using heterodyne detection over Malaga turbulence channels at the presence of pointing error employing rectangular quadrature amplitude modulation (R-QAM). More specifically, we present exact closed-form expressions for average bit-error rate for adaptive/non-adaptive modulation, achievable spectral efficiency, and ergodic capacity by utilizing generalized power series of Meijer's G-function. Moreover, asymptotic closed form expressions are provided to validate our work at high power regime. In addition, all the presented analytical results are illustrated using a selected set of numerical results. Moreover, we applied the bisection method to find the optimum beam width for the proposed FSO system.

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Section: Numerical Resultsmentioning

confidence: 99%

Section: Accepted Manuscriptmentioning

confidence: 99%

Performance analysis of multihop heterodyne free-space optical communication over general Malaga turbulence channels with pointing error

Alheadary

Park

Alouini

2017

Optik

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“…Málaga model represents a general model of atmospheric turbulence [10]. In this paper, we consider the case of Málaga atmospheric turbulence model with integer

β

[11], which can be expressed as

\begin{matrix} right left right left right left right left right left right left0.278em 2em 0.278em 2em 0.278em 2em 0.278em 2em 0.278em 2em 0.278em3pt \\ f_{a} (I_{a}) = A {false\sum}_{k = 1}^{β} a_{k} I_{a}^{\frac{α + k}{2} - 1} K_{α - k} (2 \sqrt{\frac{α β I_{a}}{γ β + Ω^{'}}}) \end{matrix}

where

\begin{matrix} right left right left right left right left right left right left0.278em 2em 0.278em 2em 0.278em 2em 0.278em 2em 0.278em 2em 0.278em3pt \\ A ≜ \frac{2 α^{\frac{α}{2}}}{γ^{1 + \frac{α}{2}} Γ (α)} {()(, \frac{γ β}{γ β + {normalΩ}^{'}})}^{β + \frac{α}{2}} \end{matrix}

\begin{matrix} right left right left right left right left right left right left0.278em 2em 0.278em 2em 0.278em 2em 0.278em 2em 0.278em 2em 0.278em3pt \\ a_{k} ≜ (\begin{matrix} 1em4pt \\ β - 1 \\ k - 1 \end{matrix}) \frac{{(γ β + {normalΩ}^{'})}^{1 - \frac{k}{2}}}{(k - 1)!} {()(, \frac{Ω^{'}}{γ})}^{k - 1} {()(, \frac{α}{β})}^{\frac{k}{2}} \end{matrix}

There is also the case of Málaga atmospheric turbulence model with real

β

[12], but it will not be considered here. Parameters

α

and

…”

Section: System Modelmentioning

confidence: 99%

“…The parameters are expressed as

\begin{matrix} right left right left right left right left right left right left0.278em 2em 0.278em 2em 0.278em 2em 0.278em 2em 0.278em 2em 0.278em3pt \\ α = {()(, exp (][, \frac{0.49 σ_{R}^{2}}{{(1 + 1.11 σ_{R}^{12 / 5})}^{7 / 6}}) - 1)}^{- 1} \end{matrix}

\begin{matrix} right left right left right left right left right left right left0.278em 2em 0.278em 2em 0.278em 2em 0.278em 2em 0.278em 2em 0.278em3pt \\ β = {()(, exp (][, \frac{0.51 σ_{R}^{2}}{{(1 + 0.69 σ_{R}^{12 / 5})}^{5 / 6}}) - 1)}^{- 1} \end{matrix}

where plane wave propagation and zero inner scale is assumed [28].

γ = 2 b_{0} false(1 - ρ false)

denotes the average power of the scattering component received by off‐axis eddies,

2 b_{0}

is the average power of the total scatter components, parameter

0 \leq ρ \leq 1

represents the amount of scattering power coupled to the line‐of‐sight (LOS) component,

Ω^{'} = normalΩ + 2 b_{0} ρ + 2 \sqrt{2 b_{0} ρ Ω} \cos false(θ_{A} - θ_{B} false)

symbolises the average power through the coherent advantages,

normalΩ

is the regular power of the LOS aspect,

()(, θ_{A} - θ_{B})

are the deterministic levels of the LOS and also the coupled‐to‐LOS spread terms, respectively [11].

σ_{R}^{2}

represents the Rytov variance and is used as a metric of turbulence strength.…”

Section: System Modelmentioning

confidence: 99%

“…Málaga model represents a general model of atmospheric turbulence [10], covering other less general models such as K turbulence model, HK turbulence model, gamma and gamma‐gamma turbulence models, exponential‐Weibull turbulence models and so on. System performance for outage probability (

P_{out}

), symbol error rate, bit error rate (BER) over Málaga atmospheric turbulence channel are given in [11–13]. Also, BER for different modulation schemes over Málaga atmospheric turbulence model is presented in [14].…”

Section: Introductionmentioning

confidence: 99%

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