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针对载波加权正交频分复用系统中权值选择的不确定性,提出了一种载频盲同步的性能分析方法.根据循环矩阵可对角化的理论给出了载波加权分别与载频罗-克拉美界(CRB)和系统误码率之间的闭式表达式,由此可建立起一个使系统误码率和载波CRB最小的最优化问题,再通过求该最优化问题的解得到最优的载波权值,从而可以对系统的性能进行分析,得到相应的载频同步误差和系统误码率.理论分析表明,载波加权对载频CRB的影响大于对系统误码率的影响,并且不同载波加权下的载频CRB越小,相应的系统误码率越大.基于802.11a系统的仿真结果表明,载频同步误差和系统误码率都能与各自的理论分析结果很好地吻合,最优的载波权值也使载频同步误差和系统误码率接近于理论分析的最优值.
Aiming at the uncertainty of weight selection in carrier weighted orthogonal frequency division multiplexing system, a method of performance analysis of carrier frequency blind synchronization is proposed.According to the theory of diagonalizability of cyclic matrices, The closed-form expression between CRB and system error rate can be used to establish an optimization problem that minimizes the system error rate and carrier CRB. By solving the solution of the optimization problem The optimal carrier weight can be obtained and the performance of the system can be analyzed to obtain the corresponding carrier frequency synchronization error and system error rate.The theoretical analysis shows that the impact of carrier weight on the carrier frequency CRB is greater than the impact on the system error rate , And the smaller the carrier frequency CRB under different carrier weights, the greater the system bit error rate.The simulation results based on the 802.11a system show that the carrier frequency synchronization error and the system bit error rate can all be well correlated with their theoretical analysis results The optimal carrier weight also makes the carrier frequency synchronization error and system error rate close to the optimal value of theoretical analysis.