Maarig Aregawi Hagos; Marshed Mohamed , pp. 80. ING/School of Engineering, 2012.
This thesis report presents background knowledge about cognitive radio network (CRN) and investigates performance of underlay cognitive radio networks based on an adaptive power allocation policy of secondary transmitter (SU-Tx). In particular, it has been assumed that SU-Tx and primary user transmitter (PU-Tx) are equipped with a single antenna, while the corresponding receivers are equipped with multiple antennas. Additionally, SU-Tx operates under the joint constraint of its peak transmission power and outage constraint of the primary network. The probability density function (PDF) and cumulative density function (CDF) of the signal to interference and noise ratio (SINR) of SU over Rayleigh fading channel are derived. Using these two functions, a closed-form expression for the outage probability and an approximate expression for ergodic capacity of the considered system are obtained. Matlab simulation results are provided to validate the correctness of the analyses. The results show that simulation and analytical results closely match. The results show that the performance of SU increases as power of PU increases, but behaves the opposite after SU-Tx reaches its peak transmission power. Furthermore, the results reveal that as the number of antennas at the receivers (both SU and PU receivers) increases, the performance of the SU network increases.