Abstract
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 Malaga or $${\mathcal {M}}$$ 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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