Useoperatorsymbolstoexpressdifferential equations了解：算子方程及其求解方法RecognizeOperator equationand its solvingmethod系统的特征方程、特征根的意义，并会求解；系统的完全响应及其分解，即零状态响应与零输入响应之和、自由响应与强迫响应之和、瞬态响应与稳态响应之和，并会求解；单位冲激响应的定义及其对系统的描述作用，并会求解和运用：理解线性卷积的定义、性质和意义The characteristic equation of the system, the meaning理解：of the characteristic root, and will be solved.TheUnderstandcompleteresponseofthesystemanditsdecompositionnamelythe sum of zero-state response and zero-input学习目标：response, the sum offree response andforcedresponseLearning Objectivesand the sum of transient response and steady-stateresponse, will be solved.The definition of unitimpulse response and its description of the system willbe solved and applied. Understanding the definition,properties and significance of linear convolution连续时间LTI系统微分方程的建立方法：系统的0-状态和0+状态，跳变条件，并会求解；卷积的求解方法掌握：Theestablishment method of differential equation forMastercontinuous-timeLTsystem.TheO-stateand0+stateofthe system, jump conditions, and will be solved.Thesolution method of convolution.激发学生对信号与信息处理方向的兴趣与学习热情，提高学生分析和解决实际工程问题的能力，为将来从事电子设备设计与研发奠定必要的基础Stimulate students'interest and learning enthusiasm in thedirection of signal and information processing, improve students'ability to analyze and solve practical engineering problems, and德育目标lay the necessary foundation for future electronic device designMoral Objectivesand researchand development提高学生思维、判断、分析与解决问题能力，形成敬业、守信、高校、精益求精的职业素养Improve students’thinking,judgment, analysis and problem-solvingabilities,and form professionalism of dedication,trustworthiness,colleges, and excellence常系数线性微分方程Linear differential equations with constant coefficients重点：系统从0-到0+状态发生跳变的条件和跳变量的求解Key PointsThe conditions for the system to jump from 0 - to 0 + and the solutionof jumpvariables6 / 19
6 / 19 Use operator symbols to express differential equations 学习目标: Learning Objectives 了解: Recognize 算子方程及其求解方法 Operator equation and its solving method 理解: Understand 系统的特征方程、特征根的意义，并会求解；系统的 完全响应及其分解，即零状态响应与零输入响应之 和、自由响应与强迫响应之和、瞬态响应与稳态响应 之和，并会求解；单位冲激响应的定义及其对系统的 描述作用，并会求解和运用；理解线性卷积的定义、 性质和意义 The characteristic equation of the system, the meaning of the characteristic root, and will be solved. The complete response of the system and its decomposition, namely the sum of zero-state response and zero-input response, the sum of free response and forced response, and the sum of transient response and steady-state response, will be solved. The definition of unit impulse response and its description of the system will be solved and applied. Understanding the definition, properties and significance of linear convolution. 掌握: Master 连续时间 LTI 系统微分方程的建立方法；系统的 0- 状态和 0+状态，跳变条件，并会求解；卷积的求解 方法 The establishment method of differential equation for continuous-time LTI system. The 0-state and 0 + state of the system, jump conditions, and will be solved. The solution method of convolution. 德育目标: Moral Objectives 激发学生对信号与信息处理方向的兴趣与学习热情，提高学生 分析和解决实际工程问题的能力，为将来从事电子设备设计与 研发奠定必要的基础 Stimulate students' interest and learning enthusiasm in the direction of signal and information processing, improve students' ability to analyze and solve practical engineering problems, and lay the necessary foundation for future electronic device design and research and development. 提高学生思维、判断、分析与解决问题能力，形成敬业、守信、 高校、精益求精的职业素养 Improve students' thinking, judgment, analysis and problem-solving abilities, and form professionalism of dedication, trustworthiness, colleges, and excellence. 重点: Key Points 常系数线性微分方程 Linear differential equations with constant coefficients 系统从 0-到 0+状态发生跳变的条件和跳变量的求解 The conditions for the system to jump from 0 − to 0 + and the solution of jump variables
完全响应、自由响应、强迫响应、零状态响应、零输入响应、瞬态响应、稳态响应、单位冲激响应和单位阶跃响应的定义、特点和求解方法的异同点Definitions, characteristics and solutions of complete response, freeresponse,forced response,zero-state response,zero-input responsetransient response, steady-state response, unit impulse response andunit step response.系统因果性、稳定性的时域判断Time-domain judgment of system causality and stability卷积运算的定义、运算规则、性质及其应用Definition, operation rules, properties and applications of convolutionoperation.0-和+状态的描述和计算Descriptionandcalculationof 0-andO+states难点：各种响应类型及其求解方法的不同之处Focal pointsDifferences between various response types and their solving methods卷积运算Convolution operation知识单元序号：支撑教学目标：1-3、2-1、2-2、3-1、3Knowledge Unit No.SLOs Supported3-3、3-5知识单元名称傅里叶变换FouriertransformUnit Title周期信号的傅里叶级数分析Fourier series analysis of periodic signals典型周期信号的傅里叶级数Fourier Series of Typical Periodic Signals傅里叶变换Fourier transform典型非周期信号的傅里叶变换Fourier transform of typical aperiodic signals冲激函数和阶跃函数的傅里叶变换Fouriertransform of impulsefunction and stepfunctior知识点：傅里叶变换的基本性质Knowledge DeliveryBasicpropertiesofFourier transform卷积特性Convolution characteristics周期信号的傅里叶变换Fourier transform of periodic signal抽样信号的傅里叶变换Fourier transform of sampling signal抽样定理Sampling theorem雷达测距原理，雷达信号的频谱Radar ranging principle, radar signal spectrum7/19
7 / 19 完全响应、自由响应、强迫响应、零状态响应、零输入响应、瞬态 响应、稳态响应、单位冲激响应和单位阶跃响应的定义、特点和求 解方法的异同点 Definitions, characteristics and solutions of complete response, free response, forced response, zero-state response, zero-input response, transient response, steady-state response, unit impulse response and unit step response. 系统因果性、稳定性的时域判断 Time-domain judgment of system causality and stability. 卷积运算的定义、运算规则、性质及其应用 Definition, operation rules, properties and applications of convolution operation. 难点: Focal points 0-和+状态的描述和计算 Description and calculation of 0− and 0+ states. 各种响应类型及其求解方法的不同之处 Differences between various response types and their solving methods 卷积运算 Convolution operation. 知识单元序号: Knowledge Unit No. 3 支撑教学目标: SLOs Supported 1-3、2-1、2-2、3-1、 3-3、3-5 知识单元名称 Unit Title 傅里叶变换 Fourier transform 知识点: Knowledge Delivery 周期信号的傅里叶级数分析 Fourier series analysis of periodic signals 典型周期信号的傅里叶级数 Fourier Series of Typical Periodic Signals 傅里叶变换 Fourier transform 典型非周期信号的傅里叶变换 Fourier transform of typical aperiodic signals 冲激函数和阶跃函数的傅里叶变换 Fourier transform of impulse function and step function 傅里叶变换的基本性质 Basic properties of Fourier transform 卷积特性 Convolution characteristics 周期信号的傅里叶变换 Fourier transform of periodic signal 抽样信号的傅里叶变换 Fourier transform of sampling signal 抽样定理 Sampling theorem 雷达测距原理，雷达信号的频谱 Radar ranging principle, radar signal spectrum