Application of Monte-Carlo Simulation in Mobile Communications
蒙特卡洛法的实质是利用服从某种分布的随机数来模拟现实系统中可能出现的随机现象。该文首先给出了如何利用蒙特卡洛 (Monte -Carlo ,简称MC)法来近似地描述研究对象的概率分布的一般方法 ;然后利用这一工具重点地研究如何模拟移动通信中的高斯 (正态 )、Reyleigh、Rice和Nakagami-m等四种常见的随机分布。在此基础上 ,该文详细地介绍了如何利用蒙特卡洛法对AWGN信道上的QPSK通信系统的传输特性进行仿真 ,同时也给出了 16PSK系统的仿真结果。由于MC法是一种随机计算机模拟试验 ,其仿真精度与仿真次数有关。论文以AWGN信道的QPSK通信系统为例 ,用MC法仿真QPSK比特误码率BER随仿真次数变化曲线 ,并与理论值曲线做比较。仿真结果表明 :在通信系统中 ,若仿真次数 (或系统发送符号序列数 )大于 5 0 0 0 ,MC仿真精度能基本满足工程上的要求。该文提供的方法对那些缺乏通信仿真软件的通信工作人员有一定的参考作用The essence of Monte-Carlo Simulation is that using the random variable of certain known stochastic distribution to simulate the stochastic phenomena of possible appearance in the real world. Firstly, the paper presents how to simulate approximately the common method of probability distribution of the research objects with Monte-Carlo (MC). Then using the simulation tool, the produce of four frequent stochastic distributions on the mobile communication, which are Gaussian (normal), Reyleigh, Rice and Nakagami, is mainly examined. On the foundation, the paper describes in detail how to simulate QPSK's transmission performance of the communication system on the additive white Gaussian noise (AWGN) channel based on MC method. Meanwhile, the paper also presents the simulation results of 16-PSK. The simulation accuracies of MC method relate with the numbers of simulation, the paper gives an example of QPSK communication system on the AWGN channel, and the simulation curves of its bit probability of errors (BER) in pace with increase of MC simulation numbers are showed, and its comparative curve of theory value is also presented. The result shows that the simulation accuracies of MC method can basically meet the requirement of the engineering on the communication systems if the numbers of simulation are more than 5000.The new method has a reference value for those communication workers who are short of professional simulation software of communication.