Quantum mechanics

Gaussian

Turbulence

Irradiance

Statistics

Computational physics

Fading

Gamma distribution

Inverse

Probability distribution

Statistical physics

Decoding methods

Physics

Mathematics

Inverse-chi-squared distribution

Optics

Inverse-gamma distribution

Geometry

Distribution fitting

Generalized gamma distribution

Probability density function

Meteorology

K-distribution

Applied Optics

We introduce an alternative distribution to the gamma-gamma (GG) distribution, called inverse Gaussian gamma (IGG) distribution, which can efficiently describe moderate-to-strong irradiance fluctuations. The proposed stochastic model is based on a modulation process between small- and large-scale irradiance fluctuations, which are modeled by gamma and inverse Gaussian distributions, respectively. The model parameters of the IGG distribution are directly related to atmospheric parameters. The accuracy of the fit among the IGG, log-normal, and GG distributions with the experimental probability density functions in moderate-to-strong turbulence are compared, and results indicate that the newly proposed IGG model provides an excellent fit to the experimental data. As the receiving diameter is comparable with the atmospheric coherence radius, the proposed IGG model can reproduce the shape of the experimental data, whereas the GG and LN models fail to match the experimental data. The fundamental channel statistics of a free-space optical communication system are also investigated in an IGG-distributed turbulent atmosphere, and a closed-form expression for the outage probability of the system is derived with Meijer's G-function.

Inverse Gaussian gamma distribution model for turbulence-induced fading in free-space optical communication