Abstract
Wireless Communication and Signal Processing have become areas of flourishing research and innovation. Mathematical Modeling and Computational Simulations emerge as powerful ways to describe, analyze and control situations, solve problems and then interpret the results. The aim of this paper is to analyze the optimal sensing time made by cognitive radio secondary users during cooperative spectrum sensing in the Distributed Spectrum Utilization. The optimal time made by each cognitive radio user participating in cooperative spectrum sensing is modelled as a stochastic differential equation. The combination of all these sensing of the spectrum leads to a system of stochastic differential equations which is solved using a Runge-Kutta method. Computational simulations are provided to show that the total spectrum sensing time made by cognitive radios in the cooperative spectrum sensing is less than the total time they made in the spectrum sensing without cooperation.
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