单径瑞利衰落信道误比特率仿真置信度

研究了单径瑞利衰落信道、数据采用二进制相移键控（BPSK）调制等条件下，系统误比特率蒙特卡罗仿真结果的置信度与仿真量之间的关系。首先给出传统蒙特卡罗仿真的定义及若干结论，并将这些结论推广至广义情形。然后给出单径瑞利衰落信道的若干统计特性，并给出3个积分函数。最后推导出仿真结果最大相对误差、信噪比、数据速率与最大多普勒频移的比值和数据历经的衰落数之间基于一定置信概率下满足的数量关系；依据该数量关系可导出不同条件下需要的仿真量，并用图表的形式给出了典型仿真条件下需要的仿真量的数值，供工程实践参考。仿真结果验证了结论的正确性。

Investigation on Simulation Confidence Probability in Rayleigh Fading Channels

It is investigated the confidence probability of Monte Carlo(MC) simulation results of system bit error rate(BER),under condition of single-path Rayleigh fading channels and data modulated in binary phase shift key(BPSK).Firstly,some principles and conclusions of traditional MC methods are put forward.And extended these conclusions to more general conditions.Secondly,the numerical relations among the max relative error of the simulation results,the signal to noise ratio,ratio of the data rate to the Doppler shift,and the fading cycles under certain confidence probability based on the characteristics of Rayleigh fading channels are deduced.The simulation number can be deduced by this numerical relation.It is also indicated in graphs under typical simulations for reference of engineering practice.All conclusions are demonstrated by computer simulations.