Abstract:
This project derives closed-form expressions for significant statistical properties of the link signal-to-noise ratio (SNR) and separation distance in mobile ad hoc networks with Ornstein-Uhlenbeck (OU) mobility and Rayleigh fading. These systems depend on SNR for link performance. The mobility model governs the link SNR distribution without signal fading.
In our analysis, nodes move randomly according to an Ornstein-Uhlenbeck process with one tuning parameter to control temporal dependency in mobility pattern. We describe the squared distance statistically and show that it is a stationary Markov process.
We then calculate closed-form expressions for the probability density function (pdf), cumulative distribution function (cdf), bivariate pdf, and bivariate cdf of the link SNR.
Next, we introduce Rayleigh random variable-modeled small-scale fading and evaluate the link SNR pdf for rational path loss exponents. Extensive simulations confirm our theoretical analysis. This study quantifies link uncertainty and evaluates mobile ad hoc wireless system stability.
Note: Please discuss with our team before submitting this abstract to the college. This Abstract or Synopsis varies based on student project requirements.
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