A Novel Idea of Implementing Birth-Death Process to Model SU Transmission in CRN Over MPC

This article proposes a solution to address spectrum scarcity matter by providing birth-death process dealing with a secondary user (SU) transmission over multiple primary channels (MPC) in a cognitive radio network (CRN). By taking advantage of the under-use of spectrum resources of licensed users, CR systems can develop the use of radio spectrum efficiently. The SU must remain in the interweaving performance process and find spectrum gaps before transmission. Furthermore, both expected slots and transmission slots comprise the extended delivery time (EDT) for the secondary user. In order to model the cognitive transmission of the SU on MPC, especially the author has made a birth-death model. This strategy is referred to as an accurate probability density function (PDF) and probability mass function (PMF) of EDT of the secondary transmission for both continuous and periodic sensing cases. In this research, the author also represents numerical and simulation results to demonstrate analysis and mathematical expression.