A novel SER and PAPR reduction scheme for complex field network coding

For multi-source relay-based cooperative communications, it is widely believed that Complex Field Network Coding (CFNC) achieves better throughput performance than Physical-layer Network Coding (PNC). However, traditional CFNC schemes suffer a considerable loss on the performance of symbol to error ratio (SER) and peak-toaverage power ratio (PAPR) as the number of source nodes increases. In this paper, to tackle this problem in some extent, a novel CFNC scheme, which comprises of two SER and PAPR reduction algorithms, is proposed and analyzed. Particularly, by optimizing the complex coefficient vector at the source nodes at first, the performance of SER is improved; while by shrinking the amplitude of some signals selectively, the PAPR at the destination nodes is reduced. Simulations are provided to validate our analytical results. From the simulation results, it is observed that the proposed CFNC scheme significantly improves the performance of SER and PAPR.