《信号与系统(双语)》课程教学大纲》

《信号与系统（双语）》课程教学大纲》

课程编号：17105000 学分：3 参考学时：42 实验学时：

上机学时：12 适用专业：生物医学工程系各专业

大纲执笔人：魏守水课程负责人：魏守水

1 本课程的性质及适用专业Who is available to this course?

本课程是一门专业基础课程，适用于生物医学工程、控制工程、通信工程等专业。

Course Aims and Objectives ：This course is central to the studies in Biomedical Engineering, Control Engineering and communication Engineering.

2 本课程的教学目标Course objectives and tasks

通过本课程的学习，使学生初步认识如何建立信号与系统的数学模型，如何经适当的数学分析求解，并对所得的结果给出物理解释和赋予物理意义。学生应能掌握信号分析与线性系统的基本理论及分析方法。

Course Focus ：Students will learn how continuous and discrete time signals are modified by systems described in the frequency and time domains. This course will provide students with an understanding of signals and systems. The material is learned via performance, rather than competition with classmates.

3 对先修课程的要求Request to other courses

建议先修高等教学、线性代数、电路理论等课程。

Suggest learning Advanced Mathematics, linear algebra and Circuits Principle first.

4 本课程教学内容及基本要求

Class Syllabus

4.1 信号与系统概述Introduction

教学内容：连续时间与离散时间信号；自变量的变换；指数信号与正弦信号；单位冲激与单位阶跃函数；连续时间与离散时间系统；基本系统性质。

基本要求：掌握连续时间与离散时间信号，自变量的变换，指数信号与正弦信号，单位冲激与单位阶跃函数；熟悉连续时间与离散时间系统，基本系统性质。能够正确判定信号和系统的类别。

Signals and Systems

Continuous-Time and Discrete-Time Signals; Transformations of the Independent Variable; Exponential and Sinusoidal Signals; The Unit Impulse and Unit Step Functions; Continuous-Time and Discrete-Time Systems; Basic System Properties.

Mastery: Continuous-time and discrete-time signals , Transformations of the Independent Variable, Exponential and Sinusoidal Signals, The Unit Impulse and Unit Step Functions. How to specify the signals and systems by its properties?

Understand: Continuous- Time and Discrete-Time Systems, Basic System Properties.

4.2 线性时不变系统Linear Time-Invariant Systems

教学内容：卷积和与卷积积分；线性时不变系统性质；用微分和差分方程描述的因果线性时不变系统；奇异函数。

基本要求：掌握卷积和与卷积积分计算与性质，线性时不变系统性质，奇异函数及其性质；熟悉用微分和差分方程描述的因果线性时不变系统。

Linear Time-Invariant Systems

Discrete-Time LTI Systems: The Convolution Sum; Continuous-Time LTI Systems: The Convolution Integral; Properties of Linear Time-Invariant Systems; Causal LTI Systems Described by Differential and Difference Equations; Singularity Functions.

Mastery: Discrete- Time LTI Systems: The Convolution Sum, Continuous-Time LTI Systems, The Convolution Integral, Properties of Linear Time-Invariant Systems, Singularity Functions and it’s Properties.

Understand: Causal LTI Systems Described by Differential and Difference Equations.

4.3 周期信号的傅立叶级数表示Fourier Series Representation of Periodic Signals

教学内容：傅立叶级数的历史回顾；线性时不变系统对复指数信号的响应；连续时间周期信号的傅立叶级数表示；傅立叶级数的收敛；连续时间傅立叶级数性质；离散时间周期信号的傅立叶级数表示；离散时间傅立叶级数性质；傅立叶级数与线性时不变系统；用微分方程描述的连续时间滤波器举例；用差分方程描述的离散时间滤波器举例。

基本要求：掌握线性时不变系统对复指数信号的响应，连续时间周期信号的傅立叶级数表示，周期信号表示为傅立叶级数的方法及性质，离散时间周期信号的傅立叶级数表示，离散时间傅立叶级数性质；熟悉傅立叶级数的收敛，滤波的概念和用微分方程描述的连续时间滤波器以及用差分方程描述的连续时间滤波器；了解傅立叶级数的历史。