Treatment of Numerical Overflow in Simulating Error Performance of Free-space Optical Communication

Gamma-gamma distribution model was widely used in numerical simulations of the free-space optical communication system. The simulations are often interrupted by numerical overflow exception due to excessive parameters. Based on former researches, two modified models are presented using mathematical calculation software and computer program. By means of substitution and recurrence, factors of the original model are transformed into corresponding logarithmic formats, and potential overflow in calculation is eliminated. By numerical verification, the practicability and accuracy of the modified models are proved and the advantages and disadvantages are listed. The proper model should be selected according to practical conditions. The two models are also applicable to other numerical simulations based on gamma-gamma distribution such as outrage probability and mean fade time of the free-space optical communication.