Error analysis of dual-hop DF relayed underlay cognitive networks over EGK fading channels

In the presented work, we analyze an underlay cognitive relay network, with a decode and forward relay, for its error performance. The channel is modelled on extended generalized-K fading statistics. Interference temperature here is taken as a constraint which puts a limit on the secondary network transmit powers at the source and the relay. This is to ensure that the interference with the primary communication is kept to a minimum which is a mandatory condition for an underlay system. For the system under consideration, the computation of signal-to-noise ratio, respectively at the secondary relay and the destination, is the first step in our analysis. This is followed by the computation of the equivalent cumulative distribution functions. These quantities are then used for the calculation of the analytic expression for the probability of error of the dual-hop underlay system. Our results demonstrate how the error performance depends on different system parameters when working under the mentioned system constraints. Various numerical examples in the end illustrate how these parameters affect the system error performance of the relayed dual-hop underlay cognitive radio network.