Prime Number Theory based Multi-Radio Rendezvous for Cognitive Radio Communication

Effective utilization of radio spectrum by the secondary user has become a tremendous issue for cognitive radio communication. The agreement of having a common channel for both transmitter and receiver is precondition for effectual transmission in the communication system. In this paper, prime-number theory based multi-radio rendezvous is proposed for asymmetric channel conditions. Statistical distribution analysis of rendezvous is illustrated for different scenarios of channel system. Based on analysis, total probability of rendezvous and time to rendezvous with distribution for single and multi-radio are clarified. The performances are demonstrated through montecarlo based simulation in Matlab. The analytical views and proposed method have shown outperformance over conventional methods for guaranteed rendezvous.