A Unifying Statistical Model for Atmospheric Optical Scintillation

Jurado-Navas, Antonio; Garrido-Balsells, José María; Paris, José F.; Puerta-Notario, Antonio

doi:10.5772/25097

Cited by 255 publications

(211 citation statements)

References 38 publications

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“…Meanwhile, b corresponds to the amount of fading. Table 1 indicates that the M(alaga) distribution has the concrete advantage of unifying most of the well-known turbulence models reported by Jurado-Navas et al in [11]. [11].…”

Section: Atmospheric Turbulence Modelmentioning

confidence: 83%

“…Moreover, K v (·) is the v-th order modified Bessel function of the second kind (Equation (8.432.2) of Gradsteyn and Ryzhik in [14]),and Γ(·) is the gamma function (Equation (8.310.1) [14]). We should recall here, according to the definition of the M(alaga) distribution, that the observed field at the receiver side is supposed to consist of three terms, i.e., the line-of-sight (LOS) component, the component coupled to LOS that is quasi-scattered forward by eddies on the propagation axis, and a scatter component that is statistically independent from the previous two terms, owing to the energy scattered to the receiver side by off-propagation axis eddies [11]. Thus, a reflects a positive parameter related to the effective number of large-scale cells characterizing the scattering process, and c equals 2b 0 (1 − ρ) [12].…”

Section: Atmospheric Turbulence Modelmentioning

confidence: 99%

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DF Relayed Subcarrier FSO Links over Malaga Turbulence Channels with Phase Noise and Non-Zero Boresight Pointing Errors

et al. 2018

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Subcarrier free-space optical (FSO) systems using coherent recovery techniques at the receiver have acquired growing research interest in recent times. However, their optimal performance is diminished by the non-perfect synchronization of carrier frequency and phase, which is mainly due to phase noise problems. Moreover, turbulence and pointing error effects further deteriorate the overall performance. However, relay transmission schemes can extend the coverage distance and offer substantial improvements over fading conditions. In this respect, we consider a serially relayed network using decode-and-forward relays, and investigate its performance by means of average symbol error probability and mean outage duration. Turbulence is modeled by the recently unified M(alaga) distribution, which constitutes a very general statistical model that accurately describes the irradiance fluctuations from weak-to-strong turbulence conditions. Additionally, the presence of non-zero boresight pointing errors due to misalignment between the transmitter-receiver pair is considered, while the effect of phase noise is specified by a Tikhonov distribution. A comparison between single line-of-sight and serially relayed FSO configurations is provided as well. Novel approximated mathematical expressions are deduced, which are proved to be accurate enough over a wide range of turbulence strengths and signal-to-noise values. Finally, proper numerical results are presented and validated by Monte Carlo simulations.

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Section: Atmospheric Turbulence Modelmentioning

confidence: 83%

Section: Atmospheric Turbulence Modelmentioning

confidence: 99%

DF Relayed Subcarrier FSO Links over Malaga Turbulence Channels with Phase Noise and Non-Zero Boresight Pointing Errors

et al. 2018

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“…Among them, the lognormal and the gamma-gamma are best known distributions designed to model weak or moderate to strong turbulence intensity conditions [2]. As a unifying statistical distribution, the Málaga or M model was proposed in [6] including the previous distributions as particular cases of the M model. In [4], the average bit error rate (ABER) for a Mdistributed optical channel was derived using closed-form expressions corroborated under weak to strong turbulence conditions.…”

Section: Introductionmentioning

confidence: 99%

Performance Evaluation of Atmospheric Optical Communications Links Affected by Generalized Málaga Turbulence Model

López‐González

Garrido-Balsells

Jurado-Navas

et al. 2016

Wireless Pers Commun

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In this paper, the performance analysis of atmospheric optical communications links is analyzed in terms of the average bit error rate. To this end, the optical irradiance scintillation due to the turbulence effects is modeled by a generalization of the Málaga or M distribution. In particular, the behavior of the atmospheric optical channel is treated as a superposition of a finite number of Generalized-K distributed sub-channels, controlled by a discrete Negative-Binomial distribution dependent on the turbulence parameters. All previous results derived until now were restricted to natural numbers for those turbulence parameters. Here, new analytical formalisms for evaluating the average bit error rate performance are proposed. These formalisms are based on considering the most accurate scenario in which such turbulence parameters are extended to real numbers. Theses new expressions are a valuable tool for analysing the performance of atmospheric optical links.

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“…As detailed in [9,10], the RV X follows a Gamma distribution, while Y has the form of a Rician-Shadowed distribution. In this scheme, the small-scale fading characteristic of the atmospheric channel is modeled by three different signal components: a main LOS component, denoted as U L , and two additional scattering components U C S , and U G S , as shown in Fig.…”

Section: Turbulence Fading Modelmentioning

confidence: 99%

“…As a result of this research, different mathematical models for the probability density function (PDF) of the received optical irradiance have been proposed so far [4][5][6][7][8][9]. Such models adapt to a particular range of turbulence intensities, i.e.…”

Section: Introductionmentioning

confidence: 99%

Performance analysis of FSO communications under LOS blockage

et al. 2017

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Abstract:We analyze the performance of a free-space optical (FSO) link affected by atmospheric turbulence and line-of-sight (LOS) blockage. For this purpose, the atmospheric turbulence induced fading is modeled by the M-distribution, which includes the Gamma-Gamma distribution as special case. We exploit the fact that the physical interpretation of the M-distribution allows to split the optical energy through the propagation link into three different components: two coherent components and one incoherent scatter component. Based on this separation, we derive novel analytical expressions for the probability density function (PDF), for the cumulative distribution function (CDF) and for the moment generating function (MGF) of the M-distribution under the temporary blockage of the coherent components, hereinafter referred to as LOS blockage. Further, a new closed-form expression for the outage probability (OP) under LOS blockage is derived in terms of the turbulence model parameters and the LOS blockage probability. By means of an asymptotic analysis, this expression is simplified in the high-SNR regime and the OP in terms of the diversity order and diversity gain is then deduced. Obtained results show that the impact of the LOS blockage on the OP strongly depends on the intensity of the turbulence and on the LOS blockage probability.

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A Unifying Statistical Model for Atmospheric Optical Scintillation

Cited by 255 publications

References 38 publications

DF Relayed Subcarrier FSO Links over Malaga Turbulence Channels with Phase Noise and Non-Zero Boresight Pointing Errors

DF Relayed Subcarrier FSO Links over Malaga Turbulence Channels with Phase Noise and Non-Zero Boresight Pointing Errors

Performance Evaluation of Atmospheric Optical Communications Links Affected by Generalized Málaga Turbulence Model

Performance analysis of FSO communications under LOS blockage

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