知识单元序号支撑教学目标31-2,1-3Knowledge Unit No.SLOs Supported知识单元名称Z变换与离散时间傅里叶变换Unit TitleZ-transformwith a discrete-timeFouriertransform序列的z变换与连续信号拉氏变换和傅里叶变换的关系Z-transformation of the sequence versus the continuous signalLazherianandFouriertransforms序列z变换及收敛域：z变换的基本性质和定理Sequencez-transformation and convergencedomain,basicproperties知识点：and theorems of z-transformKnowledge Delivery序列的傅里叶变换The Fourier transform of the sequence离散系统的系统函数、系统的频率响应System function of thediscrete system, thefrequency response of thesystem了解：z变换与离散时间傅里叶变换Z-transform with a discrete-timeFouriertransformRecognize序列的Z变换与连续信号的拉普拉斯变换、傅立叶变换的关系理解：The relation of the Z transform of the sequence to theUnderstand学习目标Laplace transform,the Fourier transformof theLearning Objectivescontinuous signal序列的傅立叶变换和变换性质：掌握离散系统的系统函数、系统的频率响应掌握：Fourier transform and transform properties of sequence;Mastermaster the system function and frequency response ofdiscrete system培养科学与工程应用的意识和素质，逐步培养学生的探索精神和创新能力。Cultivatethe consciousness and quality of scienceandengineering application, and gradually cultivate the students'德育目标exploration spiritandinnovationabilityMoral Objectives能够在多学科背景下的团队中承担个体、团队成员以及负责人的角色。Enable to assume roles as individuals, team members and principals inamultidisciplinary context序列z变换及其收敛域的求解；序列的Z变换与连续信号的拉普拉斯变换、傅立叶变换的关系：序列的傅里叶变换及其性质。重点：The solution ofthe sequence z-transformation and its convergenceKey Pointsdomain,TherelationshipbetweentheZtransformationofthesequenceandtheLaplacetransformandtheFouriertransformofthecontinuoussignal:TheFouriertransformof the sequences andtheirproperties6/18
6 / 18 知识单元序号: Knowledge Unit No. 3 支撑教学目标: SLOs Supported 1-2,1-3 知识单元名称 Unit Title z 变换与离散时间傅里叶变换 Z-transform with a discrete-time Fourier transform 知识点: Knowledge Delivery 序列的 z 变换与连续信号拉氏变换和傅里叶变换的关系 Z-transformation of the sequence versus the continuous signal Lazherian and Fourier transforms 序列 z 变换及收敛域；z 变换的基本性质和定理 Sequence z-transformation and convergence domain; basic properties and theorems of z-transform 序列的傅里叶变换 The Fourier transform of the sequence 离散系统的系统函数、系统的频率响应 System function of the discrete system, the frequency response of the system 学习目标: Learning Objectives 了解: Recognize z 变换与离散时间傅里叶变换 Z-transform with a discrete-time Fourier transform 理解: Understand 序列的 Z 变换与连续信号的拉普拉斯变换、傅立叶变 换的关系 The relation of the Z transform of the sequence to the Laplace transform, the Fourier transform of the continuous signal 掌握: Master 序列的傅立叶变换和变换性质；掌握离散系统的系统 函数、系统的频率响应 Fourier transform and transform properties of sequence; master the system function and frequency response of discrete system 德育目标 Moral Objectives 培养科学与工程应用的意识和素质，逐步培养学生的探索精神和创 新能力。 Cultivate the consciousness and quality of science and engineering application, and gradually cultivate the students' exploration spirit and innovation ability. 能够在多学科背景下的团队中承担个体、团队成员以及负责人的角 色。 Enable to assume roles as individuals, team members and principals in a multidisciplinary context 重点: Key Points 序列 z 变换及其收敛域的求解； 序列的 Z 变换与连续信号的拉普拉斯变换、傅立叶变换的关系； 序列的傅里叶变换及其性质。 The solution of the sequence z-transformation and its convergence domain; The relationship between the Z transformation of the sequence and the Laplace transform and the Fourier transform of the continuous signal; The Fourier transform of the sequences and their properties
序列的Z变换与连续信号的拉普拉斯变换、傅立叶变换的关系The难点：Relationof the Z transformof the sequencetothe LaplacetransformFocal pointsthe Fourier transform of the continuous signal知识单元序号：支撑教学目标：41-2,1-3Knowledge Unit NSLOs Supportedo知识单元名称离散傅里叶变换(DFT)Unit TitleDiscrete Fourier Transform (DFT)傅立叶变换的几种形式（傅立叶变换、傅立叶级数、序列的傅立叶变换、离散傅立叶变换）Several forms oftheFouriertransform(Fouriertransform,Fourierseries,Fourier transform of thesequence,discreteFouriertransform周期序列的离散傅里叶级数及其性质知识点Discrete Fourier series of the periodic sequences and their propertiesKnowledge Delivery离散傅里叶变换及其性质Maximum power transfer for DC circuits利用DFT计算模拟信号的FT对时会出现的问题Problems that arise when calculating the FT pairs of simulated signalsusingthe DFT理解周期序列的频谱特点，能用DFS和DFT分析周期序列的频谱，会画频谱图：理解非周期序列的频谱特点，能用DTFT和DFT分析非周期信号的频谱，会画频谱图：理解DFT的意义和应用：理解和掌握圆周运算：理解和掌握DFT变换对逼近连续时间信号及其频谱的基本方法、出现的问题和解决方法；理解和掌握序列的DTFT、DFS、DFT、z变换的含义和关系。Understand the spectrum characteristics of periodic理解：学习目标：sequence,beabletoanalyzethespectrumspectrumUnderstandLearning Objectiveswith DFS and DFT, understand the spectrumcharacteristics of aperiodic sequence, analyze thespectrum of Aperiodic signal with DTFT and DFT,draw the spectrum map, understand the meaning andapplication of DFT, understand and master thecircular operation, understand andmaster DFTtransformtoapproximatethecontinuoustimesignaland theproblem and solve the spectrum, understandandmasterthemeaningand relationshipofDTFT,DFS,DFTandztransformation培养科学与工程应用的意识和素质，逐步培养学生的探索精神和创新能力。德育目标Cultivate the consciousness and quality of science and engineeringMoral Objectivesapplication, and gradually cultivate the students' exploration spiritand innovation ability7/18
7 / 18 难点: Focal points 序列的 Z 变换与连续信号的拉普拉斯变换、傅立叶变换的关系 The Relation of the Z transform of the sequence to the Laplace transform, the Fourier transform of the continuous signal 知识单元序号: Knowledge Unit N o. 4 支撑教学目标: SLOs Supported 1-2,1-3 知识单元名称 Unit Title 离散傅里叶变换(DFT) Discrete Fourier Transform (DFT) 知识点: Knowledge Delivery 傅立叶变换的几种形式（傅立叶变换、傅立叶级数、序列的傅立叶 变换、离散傅立叶变换） Several forms of the Fourier transform (Fourier transform, Fourier series, Fourier transform of the sequence, discrete Fourier transform) 周期序列的离散傅里叶级数及其性质 Discrete Fourier series of the periodic sequences and their properties 离散傅里叶变换及其性质 Maximum power transfer for DC circuits 利用 DFT 计算模拟信号的 FT 对时会出现的问题 Problems that arise when calculating the FT pairs of simulated signals using the DFT 学习目标: Learning Objectives 理解: Understand 理解周期序列的频谱特点，能用 DFS 和 DFT 分析 周期序列的频谱，会画频谱图；理解非周期序列的 频谱特点，能用 DTFT 和 DFT 分析非周期信号的 频谱，会画频谱图；理解 DFT 的意义和应用；理 解和掌握圆周运算；理解和掌握 DFT 变换对逼近 连续时间信号及其频谱的基本方法、出现的问题和 解决方法；理解和掌握序列的 DTFT、DFS、DFT、 z 变换的含义和关系。 Understand the spectrum characteristics of periodic sequence, be able to analyze the spectrum spectrum with DFS and DFT, understand the spectrum characteristics of aperiodic sequence, analyze the spectrum of Aperiodic signal with DTFT and DFT, draw the spectrum map; understand the meaning and application of DFT, understand and master the circular operation; understand and master DFT transform to approximate the continuous time signal and the problem and solve the spectrum; understand and master the meaning and relationship of DTFT, DFS, DFT and z transformation. 德育目标 Moral Objectives 培养科学与工程应用的意识和素质，逐步培养学生的探索精神和创 新能力。 Cultivate the consciousness and quality of science and engineering application, and gradually cultivate the students' exploration spirit and innovation ability