A General Exact Formulation for the Outage Probability in Interference-Limited Systems

This paper presents a useful, novel formulation for the outage probability in interference-limited communication systems, here named Joint Outage Probability (JOP). Given a set of SIR restrictions for mutually interfering signals, the JOP corresponds to the probability that at least one of the restrictions is not satisfied. A general exact solution for the joint outage probability is derived, along with a necessary and sufficient condition for a non-null JOP. Furthermore, a closed-form expression for the joint outage probability in a non-identically distributed Rayleigh scenario with independent signals is obtained. The results presented here can be directly applied in a wide range of practical scenarios.