Interference and performance analysis for cognitive adhoc network with relay assisted primary link

In our study we have analyzed the interference, modeled as a Gamma variable, at the primary receiver by a cognitive radio adhoc network distributed in a Poisson point process (PPP) with relay assisted primary communication link. We have shown through the density functions that the signal to interference ratio (SIR) concentrates at high values with an increased number of relays leading to better performance. Outage probability, symbol error rate (SER) and ergodic capacity are analyzed to take more insight of the system and it is further shown that the best performance increase can be obtained with a single relay.