西南交通大学本科毕业设计（论文） 第III页 摘 要

通信系统中的常用随机数的研究是通信系统仿真技术的基础。例如在信道仿真过程中，各种信道模型的建立都是常用随机数拓展而来。此外，我国的高速铁路正处于迅猛发展的阶段，该信道的仿真分析过程涉及到的多径径数、传播时延、电波入射相位和衰减系数等参数的分布特性也同样与常用分布随机数相关。因此，基于随机数仿真的信道建模研究对通信的发展与我国的高速铁路发展具有重要的现实意义。

本设计首先通过对概率论与统计学上的几种常用概率分布的介绍，来导出各分布随机数的产生算法并利用VC++6.0进行仿真。接下来根据信道模型与相关随机数的关系，重点分析并仿真了高斯、瑞利、莱斯和nagakami四种典型的信道模型。最后根据高速铁路信道的主要特点，在电波传播特性的研究的基础上，分析了高速铁路环境下的电波传播过程中的各个参数的统计特性。并且利用常用的信道仿真方法Jakes信道仿真器，分两步：多普勒效应模型和多径效应模型，建立了高速铁路信道模型，并对Jakes信道模型进行了仿真分析。

论文首先介绍了通信系统中常用的几种分布，比如均匀分布、指数分布等基础分布的随机数的应用及产生算法，利用MFC仿真并绘制结果。接下来研究了高斯、瑞利、莱斯和nakagami四种典型信道模型与其相关随机数的关系，并在常用分布随机数的基础上利用MFC仿真生成与该四种典型信道模型相关的随机数。最后介绍当前的研究热门——高铁信道模型。先介绍该信道的产生背景以及其主要特征，再着重研究了该信道以Jakes信道仿真模型为基础的信道模型。

关键字：常用分布随机数； 典型信道模型； jake仿真器；多径效应模型；

西南交通大学本科毕业设计（论文） 第IV页 Abstract

Random number used in the communication system is the foundation of communication system simulation technology. For example, in the process of channel simulation, the building of all kinds of channel models is based on common random number. In addition, our country’s high-speed railway is in the stage of rapid development. And the distribution character of the parameters, which are used in the process of simulation and analysis of the high-speed railway channel such as the number of multipath、 propagation delay、the radio waves incident phase、attenuation coefficient, are also related with the common distribution random numbers. Therefore, the research of channel modeling which is based on random number simulation has important practical significance to the development of communication and our country’s high-speed railway.

This subject derives the algorithm of generating these distribution random numbers by introducing several common probability distributions on the probability and statistics and simulates the results on VC++6.0. Then according to the relation between the channel model and the random number，it focuses on the analysis and simulation of four typical channel models such as Gaussian, Rayleigh ,Rice and nakagami. Finally, according to the main characteristics of high-speed railway channel, the statistical characteristics of radio wave parameters are analyzed on the basis of the research of the characteristics of the radio wave propagation. Using the jakes channel model which is commonly used in channel simulation, a high-speed railway channel model is established by dividing into two steps: Doppler effect model and multipath effect model. The jakes channel model is analyzed and simulated.

This thesis first introduces the application and the algorithm of of several distributions random numbers which are widely used in the communication system, such as uniform distribution, exponential distribution and other basic distribution. Then simulates on MFC and draws the results. The next chapter covers four typical channel models like Gaussian, Rayleigh ,Rice and nakagami, and the relationship with their related random number. On the basis of common distribution random number, we can get random numbers which are related with the four typical channel model. At last, it discusses the current hotspot —— high-speed railway channel model. In this part, the background of the channel and its main features are the first section, then focuses on the channel model which is based on the Jakes channel simulation model.

西南交通大学本科毕业设计（论文） 第V页 Key words：common distribution random numbers; typical channel model; jake emulator;

multipath effect model

西南交通大学本科毕业设计（论文） 第VI页 目 录

摘 要 ............................................................................................................................. III Abstrsct ............................................................................................................................. IV 第1章 绪论 ......................................................................................................................... 1 1.1 研究背景和意义 ..................................................................................................... 1 1.2 本课题的研究现状 ................................................................................................. 2 1.3 本文的主要工作 ..................................................................................................... 2 1.4 本文的组织结构 ..................................................................................................... 2 第2章 通信系统常用随机数 ............................................................................................. 4 2.1 均匀分布随机数 ..................................................................................................... 4

2.1.1 概念及主要特点 ......................................................................................... 4 2.1.2产生算法及MFC仿真结果 ........................................................................ 4 2.2 二项分布随机数 ..................................................................................................... 5

2.2.1 概念及主要特点 ......................................................................................... 5 2.2.2产生算法及MFC仿真结果 ........................................................................ 6 2.3泊松分布随机数 ...................................................................................................... 7

2.3.1 概念及主要特点 ......................................................................................... 7 2.3.2产生算法及MFC仿真结果 ........................................................................ 8 2.4拉普拉斯分布随机数 .............................................................................................. 9

2.4.1 概念及主要特点 ......................................................................................... 9 2.4.2产生算法及MFC仿真结果 ...................................................................... 10 2.5韦伯分布随机数 .................................................................................................... 11

2.5.1 概念及主要特点 ....................................................................................... 11 2.5.2产生算法及MFC仿真结果 ...................................................................... 12 2.6贝努力分布随机数 ................................................................................................ 13

2.6.1 概念及主要特点 ....................................................................................... 13 2.6.2产生算法及MFC仿真结果 ...................................................................... 13 2.7指数分布随机数 .................................................................................................... 15

2.7.1 概念及主要特点 ....................................................................................... 15 2.7.2产生算法及MFC仿真结果 ...................................................................... 16

第3章 典型信道模型与相关随机数 ............................................................................... 18 3.1 高斯白噪声(AWGN)信道模型 ............................................................................ 18

3.1.1 信道模型与其相关随机数关系分析 ....................................................... 18