Numerical Simulations of Physical and Engineering Processes 2011
DOI: 10.5772/25097
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A Unifying Statistical Model for Atmospheric Optical Scintillation

Abstract: In this paper we develop a new statistical model for the irradiance fluctuations of an unbounded optical wavefront (plane and spherical waves) propagating through a turbulent medium under all irradiance fluctuation conditions in homogeneous, isotropic turbulence. The major advantage of the model is that leads to closed-form and mathematically-tractable expressions for the fundamental channel statistics of an unbounded optical wavefront under all turbulent regimes. Furthermore, it unifies most of the proposed s… Show more

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Cited by 268 publications
(211 citation statements)
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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%
See 1 more Smart Citation
“…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%
“…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%
“…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%