随机信号随机信号经线性系统并行叠加后分析以及其他实验讲义

引 言

随机信号分析是一门理论性很强的专业基础课程。在理论课上主要通过一些数学公式

讲述随机信号的分析和变换。那么，随机信号通过实际的系统时又是如何分析呢？我们想

通过实验，使学生对随机信号的产生方法、统计特性、数字特征及随机信号分析应用有较

全面的了解和深刻的理解，有助于学生对本课程的理解与掌握。

随机信号分析实验模型如下所示：

随机信号分析实验要求

实报告要求如下：

实验一 随机信号通过线性系统和非线性系统后的特性分析

１．实验目的

⒉ 实验原理

　 ② 随机过程的均方值：

 ③ 随机信号的方差：

⑤ 随机过程的频谱：

⑥ 随机过程的功率谱密度：

输出信号的均方值（平均功率）为；

⑶ 非线性系统

⒊　实验任务与要求

低通滤波器：

通带截止频率 

⒉ 实验原理

⒉ 实验原理

⒊ 实验任务与要求

实验四 窄带信号及包络和相位检波（一）

⒈　实验目的

⒉　实验原理

图 窄带信号及包络和相位检波器

⒊　实验任务与要求

实验五 窄带信号及包络和相位检波（二）

⒈　实验目的

⒉　实验原理

信号与理想高斯白噪声进行互相关运算，产生相应的输出通过一个低通滤波器，获得线性

系统单位冲激响应 。其原理框图如图  所示：



图 利用互相关测量线性系统单位冲击响应

实验七 白化滤波器的设计

⒈　实验目的

⒉　实验原理

图 

⒊　实验任务与要求

图 系统设计框图

实验八 微弱信号的检测提取及分析

１．实验目的

⒉ 实验原理

⑴ 随机信号的分析方法

⑵ 微弱随机信号的检测及提取方法

① 自相关检测方法

② 　多重自相关法

图 微弱信号提取方案设计

１．实验目的

⒉ 实验原理

图 模拟型相关函数测量仪

⒊　实验任务与要求

 ⑵ 设计模拟相关器包含的所有电路，其中延迟线为可变延迟线。低通滤波器通带为 

。

 ⑶ 输入信号： ，信号频率 ，幅值为 !，为白噪声。

实验十一 理想白噪声和带限白噪声的产生与分析

１．实验目的

⒉ 实验原理

１．实验目的

⒉ 实验原理

⒊　实验任务与要求

⑷ 低通滤波器设计：

低通滤波器技术要求：

通带截止频率 

实验十四 准正弦信号通过非线性系统

１．实验目的

⒊　实验任务与要求

图 准正弦信号通过非线性系统

实验十五 平稳随机过程的采样插值

１．实验目的

⒉ 实验原理

上式就是平稳随机过程的采样定理。式中 " 为采样周期。

⒊　实验任务与要求

横轴是频率

 ⑶ 低通滤波器设计

１．实验目的

１．实验目的

⒉ 实验原理

⒊　实验任务与要求

实验十八 随机信号的仿真与分析

１．实验目的

⒉ 实验原理

⒊　实验任务与要求

实验十九 随机信号的调制解调分析

１．实验目的

⒉ 实验原理

⒉ 实验原理

⒊　实验任务与要求

实验二十一 随机信号经线性系统串行叠加后分析

１．实验目的

⒉ 实验原理

⒊　实验任务与要求

实验二十二 随机信号经线性系统串并叠加后分析

１．实验目的

⒊　实验任务与要求

实验二十三 窄带信号复检测系统分析

１．实验目的

⒉ 实验原理

⒊　实验任务与要求

实验二十四 信号积累的检测系统分析

１．实验目的

⒉ 实验原理

⒊　实验任务与要求

１．实验目的

$$%&'()"*+,-.

('/ 口数据传输的采样子函数

二、用 01-12 实现数据采集的方法

$1-12 中的部分相关函数与命令

参 考 书