In this paper we present a new model for describing the turbulence-induced fading that uses the representation
of the phase in the aperture plane as a collection of random “cells”. This model serves as input to calculate the
probability density function of fading intensity. The model has two parameters: phase variance and number of
wavefront cells . We derive expressions for the signal-to-noise ratio in the presence of atmospheric turbulence and
adaptive optics compensation. We estimate symbol error probabilities for M-ary phase shift keying and evaluate
the performance of coherent receivers as a function of the normalized aperture and the number of actuators on
the deformable mirror or the number of compensated modes. We perform numerical simulations of the fading
intensity for different uncompensated and compensated scenarios and we compare the results with the proposed
Esdras Anzuola and Szymon Gladysz, "Statistical model for free-space optical coherent communications using adaptive optics," Proc. SPIE 9991, Advanced Free-Space Optical Communication Techniques and Applications II, 999108 (Presented at SPIE Security + Defence: September 26, 2016; Published: 21 October 2016); https://doi.org/10.1117/12.2244018.
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