8. Conclusion
A novel CoMAC-based CSS scheme for CRNs has been proposed in [1]. Unlike conventional CSS schemes, the proposed CoMACbased CSS scheme takes advantage of the CoMAC to accelerate the CSS process via merging the reporting and the computation steps of CSS, which noticeably reduces the reporting delay in conventional CSS schemes. Based on the estimation of the desired arithmetic mean function of local statistics, we analyze the detection probability and the false alarm probability of the proposed CoMAC-based CSS scheme. Finally, we obtain the optimal energy detection threshold and spectrum sensing time yielding the maximal average throughput of the CRN. Extensive simulations have demonstrated that, using much less reporting time, the CoMAC-based CSS scheme yields almost the same sensing performance as conventional CSS schemes, provided that the symbol sequence length L is sufficiently large. In addition, for a suitably chosen L, the average throughput of the CoMACbased CSS scheme is shown much higher than that of conventional CSS schemes, especially when the number of cooperative SUs is large. The disadvantage of the proposed CoMAC-based CSS scheme lies in the high energy consumption when the length of the symbol sequence is large. In order to address the issue of high energy consumption, we have to formulate a completely novel optimization problem instead of problem (33) and to redesign a corresponding solution method to it as well. We will leave this interesting direction as a future work.