Sensing Performance of Improved Cyclostationary Detector with Multiple Correlated Antennas over Nakagami Fading Channel

In this paper, we analyze the sensing performance of multi-cycle cyclostationary (MC) detection-based spectrum sensing in a secondary user (SU) possessing multiple correlated antennas when the channel from the primary user (PU) to the SU suffers from Nakagami fading. We first propose an improved MC detector, aiming at reducing the computational complexity of conventional MC detector by simplifying its test statistic. Compared with the conventional one, our proposed detector achieves low-computational complexity and high-accuracy on sensing performance. Based on the proposed detector, square-law combining (SLC) diversity of multiple antennas technique is introduced to improve the detection capability over the Nakagami fading channel. Subsequently, the effect of multiple correlated antennas is investigated. A special correlated antenna case of a linear array of 2 and 4 arbitrarily correlation is then treated. The corresponding closed-form average detection probability is derived by using the moment generation function (MGF) approach. Finally, results show the efficiency and reliability of the proposed detector and the degradation on sensing performance with correlated antennas over the Nakagami fading channel.