Performance Analysis of a Laser
Ground-Station-to-Satellite Link With
Modulated Gamma-Distributed
Irradiance Fluctuations
Abstract—The performance of a ground-station-to-space
laser uplink with a Gaussian-beam wave model subject to
turbulence and beam wander effects is the topic of the
present study. The modulated gamma distribution is used to
describe the combined effect of the above two deteriorating
factors. At first, a versatile expression of the above probability
density function is deduced. We then derive novel closedform
expressions for its cumulative distribution function
and the moment-generating function. The scintillation index
and the probability of fade are hence readily evaluated. The
analysis is completed with the evaluation of the bit error
rate assuming heterodyne detection with differential phaseshift
keying. In order to attain an adequate error rate target,
we incorporate diversity at the satellite receiver. A proper
simulation scenario is adopted, and numerical results are
provided to verify the accuracy of the derived expressions.
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