Analysis of asymptotically tight approximation SER for cooperative NOMA systems

The closed-form formula derivation of the power domain cooperative non-orthogonal multiple access(NOMA) system is of great significance for further improving the performance of the system.However,the system performance formulas of the channel capacity and the paired bit error rate pairwise error probability(PEP) are too complicated,which have increased the difficulty in system performance optimization.Therefore,based on the amplify forward(AF) relay cooperative NOMA model,the signal interference noise ratio(SINR) formulas of the two user nodes are constructed.Through the assumption of that,the symbol error rate(SER) of each user is fair,the simplification condition of moment generating function(MGF) with the harmonic mean form is satisfied.Combined with the SER calculation formula of MGF,the system SER asymptotically tight approximation formula with simple structure is derived at high signal-to-noise ratio(SNR).The Monte Carlo simulation results show that,the formula can accurately describe the SER performance of the power domain cooperative NOMA system with the non-ideal successive interference cancellation(SIC) system when SNR is high.Under the condition of certain total power,the optimal power allocation factor is solved in order to minimize the total system SER.