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Statistical Modeling of the Impact of Underwater Bubbles on an Optical Wireless Channel

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Document pages: 10 pages

Abstract: In underwater wireless optical communications (UWOC), the random obstructionof light propagation by air bubbles can cause fluctuations in the incominglight intensity of a receiver. In this paper, we propose a statistical modelfor determining the received power by a receiver in the presence of airbubbles. First, based on real experiments of the behavior of air bubblesunderwater, we propose statistical models for the generation, size, andhorizontal distribution of each air bubble. Second, we mathematically derivethe obstruction caused by the shadow of each bubble as it passes over the beamarea. We then compute the combined obstruction of all generated air bubbles todetermine the total obstructed power, which is a random variable due to therandomness of bubble behavior. Next, we find the first and second moments ofthe total obstructed power to model the statistical distribution of theobstructed received power by using the method of moments, which shows that theWeibull distribution suitably matches the simulation data. We also estimate theshape and scale parameters by using two derived moments. Furthermore, we alsoconstruct a statistical model of the received power with complete blockage inthe presence of air bubbles and we derive the distribution of the compositechannel model combining the proposed bubble-obstruction model with aGamma-Gamma turbulence model. Finally, we obtain and verify the analytic formsof the average bit error rate and the capacity of UWOC systems under this newlyproposed composite channel model.

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