Conditional fading statistics of scintillation

Physics – Optics

Scientific paper

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Atmospheric Turbulence, Scintillation, Signal Fading, Stochastic Processes, Turbulence Effects, Atmospheric Optics, Irradiance, Normal Density Functions, Probability Density Functions, Time Lag

Scientific paper

The level-crossing theory for Gaussian stochastic processes is used to predict the behavior of an optical channel in the turbulent atmosphere. The log-irradiance is assumed to be Gaussian with a known correlation function and the conditional probability that it be below a 'fade' at a time in the future given that it currently exceeds a threshold level is derived. The probability density, two-point conditional density, and the correlation function of the log-irradiance as determined from experimental data collected under weak, moderate, and strong turbulence conditions are presented. The Gaussian assumption is justified on the basis of the measured probability densities but the correlation functions show that the process is not Markov. The measured correlation functions are used to generate the probability of fading as a function of the time delay and a measure of the effectiveness of a channel-monitoring system is defined and calculated.

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