Mathematical Analysis of Interference Issues and Study of Path Loss, Fading and Shadowing Effects on Cognitive Radio Networks

Handling interference in wireless communication system is a challenging task. This paper aims about mathematical analysis of interference in general and also in cognitive radio networks. This paper concentrates on various sources of interferences such as path loss, fading and shadowing. Interference system model was created by considering spatial distribution of nodes, wave propagation characteristics and mobility of the interferers. Interference from active set of nodes and aggregate interference was analysed mathematically. Finally, interference in cognitive radio network was analysed under different circumstances. Simulation results showed that the outage probability of secondary user to sense the transmission between primary transmitter and receiver with respect to path loss, fading and shadowing.