Applied Mathematics & Information Sciences

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Performance evaluation plays a fundamental role in the design of modern underwater wireless communication systems, which are growing rapidly. In this system, performance evaluation of systems plays a fundamental role in determining the effectiveness of the system. Analysis of backlog and delay in any underwater wireless communication networks becomes a tough task. In past few years, the stochastic growth of modern networks resulted in complexity of analysing the algorithms and application. Since traditional mathematical modeling theories such as queuing theory, effective bandwidth, and deterministic networks calculus are not applicable to analyze the Quality of Service (QoS) for the present day packet switched multimedia networks due to their inherently random behavior. To analyze the present day networks, non-deterministic network calculus is much needed. Stochastic network calculus emerges as an appropriate mathematical tool for modeling and calculating the performance of wireless network and wired networks. While research in stochastic network calculus is in early days, it is still gaining much attention in the research community for analyzing any wireless communication networks. In this research article, the authors have analyzed and created a mathematical model for underwater wireless communication channel. The channel is subjected to Rician fading based on SNC that obtains Stochastic Arrival Curve and Stochastic Service Curve, as an extension to the Rayleigh fading. This model is adopted for deriving the performance of delay and backlog bounds in underwater acoustic Rician fading channels using Stochastic Network Calculus.

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