东北大学：某学院应用通信工程专业《数字信号处理》课程教学大纲

数字信号处理教学大纲Digital Signal ProcessingSubject Syllabus，课程信息SubjectInformation课程编号：开课学期：23100113013Subject IDSemester课程分类：所属课群：公共基础GF专业基础MFCategorySection课程学分：总学时/周：2.540Credit PointsTotal Hours/Weeks理论学时：实验学时：328LECT. HoursEXP. HoursPBL学时:实践学时/周：00PBL HoursPRAC. Hours/Weeks开课学院：东北大学适用专业：通信工程CECollegeStream悉尼智能科技学院课程属性：课程模式：必修Compulsory自建NEUModePattern刘健中方课程协调人成绩记载方式百分制MarksNEU CoordinatorLiu JianResult Type先修课程：复变函数、信号与系统RequisitesComplexchangefunction,Signal and System英文参考教材Cheng Peiqing, digital Signal Processing Course (fifth edition),EN TextbooksTsinghua UniversityUniversityPress,2017Cheng Peiqing, digital Signal Processing Course (fifth edition),中文参考教材TsinghuaUniversityUniversityPress,2017程佩青著，《数字信号处CN Textbooks理教程》（第五版），清华大学大学出版社，2017程佩青：《数字信号处理教程》（第三版），清华大学出版社，2008教学资源：程佩青：《数字信号处理教程》（第四版），清华大学出版社，2013Resources丁玉美，高西全：《数字信号处理（第三版）》，西安电子科技大学出版社，2009课程负责人(撰写人)刘健提交日期：4/1/2023Liu JianSubject DirectorSubmitted Date任课教师(含负责人)：刘健，曹亚丽Liu Jian, Cao YaliTaught by审核人：批准人：韩鹏史闻博Checked byApproved by批准日期：9/1/2023ApprovedDate1 /18

1 / 18 数字信号处理 教学大纲 Digital Signal Processing Subject Syllabus 一、课程信息 Subject Information 课程编号: Subject ID 3100113013 开课学期: Semester 2 课程分类: Category 公共基础 GF 所属课群: Section 专业基础 MF 课程学分: Credit Points 2.5 总学时/周: Total Hours/Weeks 40 理论学时: LECT. Hours 32 实验学时: EXP. Hours 8 PBL 学时: PBL Hours 0 实践学时/周: PRAC. Hours/Weeks 0 开课学院: College 东北大学 悉尼智能科技学院 适用专业: Stream 通信工程 CE 课程属性: Pattern 必修 Compulsory 课程模式: Mode 自建 NEU 中方课程协调人: NEU Coordinator 刘健 Liu Jian 成绩记载方式: Result Type 百分制 Marks 先修课程: Requisites 复变函数、信号与系统 Complex change function, Signal and System 英文参考教材: EN Textbooks Cheng Peiqing, digital Signal Processing Course (fifth edition), Tsinghua University University Press, 2017 中文参考教材: CN Textbooks Cheng Peiqing, digital Signal Processing Course (fifth edition), Tsinghua University University Press, 2017 程佩青著，《数字信号处 理教程》（第五版），清华大学大学出版社， 2017 教学资源: Resources 程佩青：《数字信号处理教程》(第三版)，清华大学出版社，2008 程佩青：《数字信号处理教程》(第四版)，清华大学出版社，2013 丁玉美，高西全：《数字信号处理（第三版）》，西安电子科技大学 出版社，2009 课程负责人(撰写人): Subject Director 刘健 Liu Jian 提交日期: Submitted Date 4/1/2023 任课教师(含负责人): Taught by 刘健，曹亚丽 Liu Jian, Cao Yali 审核人: Checked by 韩鹏 批准人: Approved by 史闻博 批准日期: Approved Date 9/1/2023

二、教学目标SubjectLearningObjectives(SLOs)注：毕业要求及指标点可参照悉尼学院本科生培养方案，可根据实际情况增减行数Note: GA and index can be referred from undergraduate program in SSTC website.Please add/reduce lines based on subject本课程是大学本科通信工程专业必修的专业基础课程。通过本课程的学习，一方面加深对“信号与系统”课程的理解和扩展其知识领域，另一方面为数字信号处理理论与技术、通信理论与技术、无线电技术、数字图像处理等专业课打下良好的基础。本课程系统地讲授数字信号处理的基本理论、基本分析方法、基本算法和基本实践方法，使学生掌握离散时间信号与系统的基本理论，即离散时间信号与系统、Z变换及离散傅立叶变换；掌握各种快速傅立叶变换算法：掌握数字滤波器的结构、理论，掌握IR数字滤波器和FIR数字滤波器的理论和设计方法。This course is a required professional basic course for the universityundergraduate communication engineering major. Through the study of整体目标：this course, on the one hand, I will deepen my understanding of theOverallObjective"Signal and System"courseand expand itsknowledgefield,on theother hand,I will lay agoodfoundationfordigital signal processingtheory and technology,communication theory and technology,radiotechnology,digital image processing and other professional courses.This course systematically teaches thebasic theory,basic analysismethod, basic algorithm and basicpracticemethod of digital signalprocessing, so that students can master the basic theory of discrete timesignal and system, namely discrete time signal and system, Z transformand discrete Fourier transform; master various fast Fourier transformalgorithms,master thestructureand theory of digital filter,and masterthe theory and design method of IIR digital filter and FIR digital filter掌握数字信号处理在人类生活和社会发展中的重要地位和作用，了解数字信号处理发展史以及数字信号处理特点及应用。1-1Master the important position and role of digital signalprocessing in human life and social development, understandthe development history of digital signal processing and thecharacteristics and application ofdigital signal processing系统地掌握有关数字信号处理的基本概念、基本现象、基本规律和基本方法，并牢固掌握离散时间信号与系统的基本理（1）专业目标：论，即离散时间信号与系统、Z变换及离散傅立叶变换、各Professional Ability种快速傅立叶变换算法；理解和熟悉数字滤波器的结构、理论，掌握IIR数字滤波器和FIR数字滤波器的理论和设计方法。1-2 Systematically master thebasic concepts, basic phenomena,basic lawsand basicmethods ofdigital signal processing,andfirmly grasp the basic theories of discrete time signal andsystem,namely,discretetime signal and system,Ztransformand discrete Fourier transform,and various fast Fouriertransformalgorithms:understandandbefamiliarwiththe2 /18

2 / 18 二、教学目标 Subject Learning Objectives (SLOs) 注：毕业要求及指标点可参照悉尼学院本科生培养方案，可根据实际情况增减行数 Note: GA and index can be referred from undergraduate program in SSTC website. Please add/reduce lines based on subject. 整体目标: Overall Objective 本课程是大学本科通信工程专业必修的专业基础课程。通过本课程 的学习，一方面加深对“信号与系统”课程的理解和扩展其知识领 域，另一方面为数字信号处理理论与技术、通信理论与技术、无线 电技术、数字图像处理等专业课打下良好的基础。本课程系统地讲 授数字信号处理的基本理论、基本分析方法、基本算法和基本实践 方法，使学生掌握离散时间信号与系统的基本理论，即离散时间信 号与系统、Z 变换及离散傅立叶变换；掌握各种快速傅立叶变换算 法；掌握数字滤波器的结构、理论，掌握 IIR 数字滤波器和 FIR 数 字滤波器的理论和设计方法。 This course is a required professional basic course for the university undergraduate communication engineering major. Through the study of this course, on the one hand, I will deepen my understanding of the "Signal and System" course and expand its knowledge field, on the other hand, I will lay a good foundation for digital signal processing theory and technology, communication theory and technology, radio technology, digital image processing and other professional courses. This course systematically teaches the basic theory, basic analysis method, basic algorithm and basic practice method of digital signal processing, so that students can master the basic theory of discrete time signal and system, namely discrete time signal and system, Z transform and discrete Fourier transform; master various fast Fourier transform algorithms; master the structure and theory of digital filter, and master the theory and design method of IIR digital filter and FIR digital filter. （1）专业目标: Professional Ability 1-1 掌握数字信号处理在人类生活和社会发展中的重要地位和 作用，了解数字信号处理发展史以及数字信号处理特点及应 用。 Master the important position and role of digital signal processing in human life and social development, understand the development history of digital signal processing and the characteristics and application of digital signal processing. 1-2 系统地掌握有关数字信号处理的基本概念、基本现象、基本 规律和基本方法，并牢固掌握离散时间信号与系统的基本理 论，即离散时间信号与系统、Z 变换及离散傅立叶变换、各 种快速傅立叶变换算法；理解和熟悉数字滤波器的结构、理 论，掌握 IIR 数字滤波器和 FIR 数字滤波器的理论和设计方 法。 Systematically master the basic concepts, basic phenomena, basic laws and basic methods of digital signal processing, and firmly grasp the basic theories of discrete time signal and system, namely, discrete time signal and system, Z transform and discrete Fourier transform, and various fast Fourier transform algorithms; understand and be familiar with the

structure and theory ofdigital filter,and master thetheory anddesign methods of IR digital filter and FIR digital filter在掌握数字信号处理领域科学基础的同时，通过科学思维方法的训练，培养学生运用科学原理解决实际问题的工程能力，为将来从事数字信号处理系统设计及研发奠定必要的基础。While mastering the scientific foundation of the field of digital1-3signal processing,students can cultivate the engineering abilityofusing scientificprinciples to solvepractical problemsthrough the training of scientific thinking methods, so as to laya necessaryfoundationfor the design and development ofdigital signal processing system in thefuture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。2-1Cultivatethe consciousness and qualityof science andengineering application, and gradually cultivate the students（2）德育目标：exploration spirit and innovation abilityEssential Quality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。2-2Enable to assume roles as individuals, team members andprincipals in a multidisciplinary context.课程教学目标与毕业要求的对应关系MatrixofGA&SLOs毕业要求GA指标点GAIndex教学目标SLOs1-1掌握数学、自然科学、工毕业要求1:掌握数学与自然1-1程基础和专业知识，并能够科学知识，具备较强的数学1-2将其运用到通信工程相关问题的描述中。分析、数值计算能力和分析1-2能够针对实际通信工程与解决复杂工程问题的能1-2问题设计相关方案，并运用力。1-3数学方法分析解决。毕业要求2：具有健全的人2-3具备科学的世界观、人生1-1格、良好的人文素质和道德观和价值观。修养，富有创新精神毕业要求4:掌握通信原理、信号与系统分析、通信电子4-2掌握本专业的工程实践1-1线路等通信领域的基本理论中涉及的重要工程技术指1-2和基本知识，具备通信系统标，具备通信系统设计与开1-3功能模块的设计与开发能发的能力。力。毕业要求8：具有较强工程实8-1熟悉相通信工程、电子1-1与计算机应用技术等领域的践能力，能在通信工程、电1-2工程指标。子与计算机应用技术等领3/18

3 / 18 structure and theory of digital filter, and master the theory and design methods of IIR digital filter and FIR digital filter. 1-3 在掌握数字信号处理领域科学基础的同时，通过科学思维方 法的训练，培养学生运用科学原理解决实际问题的工程能 力，为将来从事数字信号处理系统设计及研发奠定必要的基 础。 While mastering the scientific foundation of the field of digital signal processing, students can cultivate the engineering ability of using scientific principles to solve practical problems through the training of scientific thinking methods, so as to lay a necessary foundation for the design and development of digital signal processing system in the future. （2）德育目标: Essential Quality 2-1 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. 2-2 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. 课程教学目标与毕业要求的对应关系 Matrix of GA & SLOs 毕业要求 GA 指标点 GA Index 教学目标 SLOs 毕业要求 1:掌握数学与自然 科学知识，具备较强的数学 分析、数值计算能力和分析 与解决复杂工程问题的能 力。 1-1 掌握数学、自然科学、工 程基础和专业知识，并能够 将其运用到通信工程相关问 题的描述中。 1-1 1-2 1-2 能够针对实际通信工程 问题设计相关方案，并运用 数学方法分析解决。 1-2 1-3 毕业要求 2:具有健全的人 格、良好的人文素质和道德 修养，富有创新精神. 2-3 具备科学的世界观、人生 观和价值观。 1-1 毕业要求 4:掌握通信原理、 信号与系统分析、通信电子 线路等通信领域的基本理论 和基本知识，具备通信系统 功能模块的设计与开发能 力。 4-2 掌握本专业的工程实践 中涉及的重要工程技术指 标，具备通信系统设计与开 发的能力。 1-1 1-2 1-3 毕业要求 8:具有较强工程实 践能力，能在通信工程、电 子与计算机应用技术等领 8-1 熟悉相通信工程、电子 与计算机应用技术等领域的 工程指标。 1-1 1-2

域，从事工程设计、设备研发、技术创新和科学研究的1-38-2具备工程实践和科学研2-1能力。究的能力。毕业要求10：具有良好的团10-2能够理解团队合作对于2-1队协作意识、组织管理能力项目的意义，积极在团队中2-2和社会适应能力。发挥作用、体现能力。三、教学内容Content(Topics)注：以中英文填写，各部分内容的表格可根据实际知识单元数量进行复制、扩展或缩减Note: Filled in both CN and EN, extend or reduce based on the actual numbers of knowledge unit(1)理论教学Lecture支撑教学目标：知识单元序号：11-1Knowledge Unit NoSLOs Supported绪论知识单元名称Unit TitleIntroduction数字信号处理基本组成知识点：Basic composition of digital signal processingKnowledge Delivery数字信号处理的特点及其应用Characteristics of digital signal processing and their applications了解：了解信号的分类RecognizeRecognizethe classificationof signals学习目标：理解数字信号处理组成及其每部分的作用。Learning Objectives理解：Understand the composition of digital signal processingUnderstandand theroleof eachpart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。Cultivatetheconsciousness and quality of scienceandengineering application,and graduallycultivate the students德育目标exploration spirit and innovation abilityMoral 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。Enabletoassumeroles as individuals,teammembersandprincipals inamultidisciplinary context.数字信号处理基本组成框图及每部分的作用重点：Thebasiccomposition of digital signal processingblockdiagram andKey Pointsthe function of each part难点：数字信号处理基本组成框图Focal pointsBasic composition block diagram of digital signal processing4/18

4 / 18 域，从事工程设计、设备研 发、技术创新和科学研究的 能力。 8-2 具备工程实践和科学研 究的能力。 1-3 2-1 毕业要求 10: 具有良好的团 队协作意识、组织管理能力 和社会适应能力。 10-2 能够理解团队合作对于 项目的意义，积极在团队中 发挥作用、体现能力。 2-1 2-2 三、教学内容 Content (Topics) 注：以中英文填写，各部分内容的表格可根据实际知识单元数量进行复制、扩展或缩减 Note: Filled in both CN and EN, extend or reduce based on the actual numbers of knowledge unit (1) 理论教学 Lecture 知识单元序号: Knowledge Unit No. 1 支撑教学目标: SLOs Supported 1-1 知识单元名称 Unit Title 绪论 Introduction 知识点: Knowledge Delivery 数字信号处理基本组成 Basic composition of digital signal processing 数字信号处理的特点及其应用 Characteristics of digital signal processing and their applications 学习目标: Learning Objectives 了解: Recognize 了解信号的分类 Recognize the classification of signals 理解: Understand 理解数字信号处理组成及其每部分的作用。 Understand the composition of digital signal processing and the role of each part. 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 数字信号处理基本组成框图及每部分的作用 The basic composition of digital signal processing block diagram and the function of each part 难点: Focal points 数字信号处理基本组成框图 Basic composition block diagram of digital signal processing

知识单元序号支撑教学目标：21-2 1-3SLOs SupportedKnowledge Unit No知识单元名称离散时间信号与系统Unit TitleDiscrete-time signals with the system序列的基本运算Thebasic operation of the sequence线性移不变系统的判定Judgment of the linear shift-invariant system知识点：常系数线性差分方程的选代求解法一求单位抽样响应Knowledge DeliveryIterativesolutionof lineardifferenceequationwithconstantcoefficient--findunit samplingresponse连续时间信号的抽样Sampling ofthe continuous-time signals了解：连续时间信号的理想抽样RecognizeIdeal sampling of the continuous-time signal理解：序列的运算UnderstandTheoperationofthe sequence学习目标深入理解系统的线性、移不变、因果、稳定的判定；Learning Objectives熟练常系数线性差分方程的送代求解法一求单位抽掌握：样响应。MasterUnderstand linear, shift, causality and stability of lineardifference equation--unit sampling response.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 andengineering application,and graduallycultivatethe students'德育目标exploration spirit and innovation abilityMoral 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。Enabletoassume rolesas individuals,teammembers and principals ina multidisciplinary context..序列的基本运算：系统线性、移不变、因果稳定的判定：抽样定理。重点：Basicoperation of sequence,determinationofsystemlinear,shiftingKey Pointsand causal stability, sampling theorem序列线性卷积和运算；系统因果稳定的判定难点：Sequencelinearconvolutionand operation,determinationof systemFocal pointscausal stability5/18

5 / 18 知识单元序号: Knowledge Unit No. 2 支撑教学目标: SLOs Supported 1-2 1-3 知识单元名称 Unit Title 离散时间信号与系统 Discrete-time signals with the system 知识点: Knowledge Delivery 序列的基本运算 The basic operation of the sequence 线性移不变系统的判定 Judgment of the linear shift-invariant system 常系数线性差分方程的迭代求解法—求单位抽样响应 Iterative solution of linear difference equation with constant coefficient- -find unit sampling response 连续时间信号的抽样 Sampling of the continuous-time signals 学习目标: Learning Objectives 了解: Recognize 连续时间信号的理想抽样 Ideal sampling of the continuous-time signal 理解: Understand 序列的运算 The operation of the sequence 掌握: Master 深入理解系统的线性、移不变、因果、稳定的判定； 熟练常系数线性差分方程的迭代求解法—求单位抽 样响应。 Understand linear, shift, causality and stability of linear difference equation- -unit sampling response. 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 序列的基本运算；系统线性、移不变、因果稳定的判定；抽样定理。 Basic operation of sequence; determination of system linear, shifting and causal stability; sampling theorem. 难点: Focal points 序列线性卷积和运算；系统因果稳定的判定 Sequence linear convolution and operation; determination of system causal stability

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

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 amultidisciplinary context傅里叶变换的4种可能形式：周期序列与有限长序列的关系；序列的圆周运算和圆周对称分解：圆周卷积和与线性卷积和的关系；DFS和DFT的定义、基本性质：利用DFT变换对逼近连续时间信号及其频谱的基本方法及其出现的问题和解决方法。重点：The 4 possible forms ofthe Fourier transform;Key PointsThe relation between periodic sequence and finite length sequence;circularoperationand symmetricdecompositionofcircular sequence;therelationshipbetween circularconvolutionand linearconvolutionsum,Definition and basic nature ofDFS and DFT,UsingtheDFTtransformtoapproximatethecontinuous time signal andits frequency spectrum and its emerging problems and solutions.DTFT、DFS、DFT和Z变换的意义和相互关系：DFT变换对的隐含周期性：圆周运算的基本规则：连续时间信号及其频谱的近似分析方法。MemeaningandmutualrelationshipofDTFT,DFS,DFTand难点：z-transform,Focal pointsImpliedperiodicityof DFTtransformationpairbasicrulesofcircularoperation;Approximate analysismethodforthe continuous-timesignal and itsfrequency spectrum知识单元序号：支撑教学目标：51-2,1-3Knowledge Unit No.SLOs Supported知识单元名称快速傅里叶变换(FFT)Unit TitleFastFourier transform (FFT)快速傅立叶变换算法的基本发展思路Basicdevelopment ideaofthefastFouriertransformalgorithm按时间抽选的基-2FFT算法Base-2FFT algorithm selected by time按频率抽选的基-2FFT算法知识点：Base-2 FFT algorithm selected by frequencyKnowledgeDelivery离散傅立叶反变换（IDFT）的快速计算方法Fastcalculation method ofdiscreteFourier transform (IDFT)圆周卷积代替线性卷积的条件Conditionsforthe circular convolution instead of the linearconvolution掌握：学习目标掌握快速傅立叶变换算法的基本发展思路；理解按时MasterLearning Objectives间抽选的基-2FFT算法的特点、流图：掌握按频率抽8/18

8 / 18 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 傅里叶变换的 4 种可能形式； 周期序列与有限长序列的关系；序列的圆周运算和圆周对称分解； 圆周卷积和与线性卷积和的关系； DFS 和 DFT 的定义、基本性质； 利用DFT变换对逼近连续时间信号及其频谱的基本方法及其出现的 问题和解决方法。 The 4 possible forms of the Fourier transform; The relation between periodic sequence and finite length sequence; circular operation and symmetric decomposition of circular sequence; the relationship between circular convolution and linear convolution sum; Definition and basic nature of DFS and DFT; Using the DFT transform to approximate the continuous time signal and its frequency spectrum and its emerging problems and solutions. 难点: Focal points DTFT、DFS、DFT 和 z 变换的意义和相互关系； DFT 变换对的隐含周期性；圆周运算的基本规则； 连续时间信号及其频谱的近似分析方法。 Memeaning and mutual relationship of DTFT, DFS, DFT and z-transform; Implied periodicity of DFT transformation pair; basic rules of circular operation; Approximate analysis method for the continuous-time signal and its frequency spectrum. 知识单元序号: Knowledge Unit No. 5 支撑教学目标: SLOs Supported 1-2,1-3 知识单元名称 Unit Title 快速傅里叶变换(FFT) Fast Fourier transform (FFT) 知识点: Knowledge Delivery 快速傅立叶变换算法的基本发展思路 Basic development idea of the fast Fourier transform algorithm 按时间抽选的基-2 FFT 算法 Base-2 FFT algorithm selected by time 按频率抽选的基-2 FFT 算法 Base-2 FFT algorithm selected by frequency 离散傅立叶反变换（IDFT）的快速计算方法 Fast calculation method of discrete Fourier transform (IDFT) 圆周卷积代替线性卷积的条件 Conditions for the circular convolution instead of the linear convolution 学习目标: Learning Objectives 掌握: Master 掌握快速傅立叶变换算法的基本发展思路；理解按时 间抽选的基-2 FFT 算法的特点、流图；掌握按频率抽

选法与按时间抽选法的异同：掌握用圆周卷积代替线性卷积的条件：理解离散傅立叶反变换（IDFT）的快速计算方法。Understandthebasicdevelopment ideaoffastFouriertransform algorithm;understand thecharacteristics andflowdiagramofbase-2FFTalgorithm selected bytimemasterthesimilarities anddifferencesbetweenfrequency selection method and time selection method;mastertheconditionsofreplacing linearconvolution;and understand thefastcalculation method ofdiscreteFourier reverse transform (IDFT)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 andengineering application,and gradually cultivate the students'德育目标exploration spirit and innovation ability.Moral 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 ina multidisciplinary context直接计算DFT的运算量Calculatethe amount of DFTdirectly利用旋转因子的性质减少DFT运算量的基本方法Basic method toreducetheamount of DFT operationsusingtheproperties of rotation factorsFFT的意义重点：ThemeaningofFFTKey PointsDIT和DIF基-2FFT算法原理、基本蝶形运算单元、信号流图、特点和基本规则Principle ofDITand DIFbase-2FFT algorithm, basic butterflyoperation unit,signal flow diagram, characteristics and basic rules线性卷积的快速算法Fast algorithmforthelinearconvolution旋转因子的意义及其性质难点：Significsignificanceoftherotationfactorand its propertiesFocal pointsDIT和DIF基-2FFT的算法规则Algorithmic rules for both DIT and DIF-based-2FFT9/18

9 / 18 选法与按时间抽选法的异同；掌握用圆周卷积代替线 性卷积的条件；理解离散傅立叶反变换（IDFT）的 快速计算方法。 Understand the basic development idea of fast Fourier transform algorithm; understand the characteristics and flow diagram of base-2 FFT algorithm selected by time; master the similarities and differences between frequency selection method and time selection method; master the conditions of replacing linear convolution; and understand the fast calculation method of discrete Fourier reverse transform (IDFT). 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 直接计算 DFT 的运算量 Calculate the amount of DFT directly 利用旋转因子的性质减少 DFT 运算量的基本方法 Basic method to reduce the amount of DFT operations using the properties of rotation factors FFT 的意义 The meaning of FFT DIT 和 DIF 基-2 FFT 算法原理、基本蝶形运算单元、信号流图、特 点和基本规则 Principle of DIT and DIF base-2 FFT algorithm, basic butterfly operation unit, signal flow diagram, characteristics and basic rules 线性卷积的快速算法 Fast algorithm for the linear convolution 难点: Focal points 旋转因子的意义及其性质 Significsignificance of the rotation factor and its properties DIT 和 DIF 基-2 FFT 的算法规则 Algorithmic rules for both DIT and DIF-based-2 FFT

知识单元序号支撑教学目标：61-2,1-3Knowledge Unit No.SLOs Supported知识单元名称数字滤波器的基本结构Unit TitleBasic structure of thedigital filters数字滤波器结构的表示方法Representation method of the digital filter structure知识点：IIR滤波器的基本结构Knowledge DeliveryBasic structure of the IIR filterFIR滤波器的基本结构Basic structureoftheFIRfilter熟悉数字滤波器的方框图和信号流图的表示方法：理解IIR和FIR数字滤波器的特点：理解并掌握IIR和FIR数字滤波器的基本结构及其特点，并会画各种结构图：理解线性相位的概念和约束条件。Befamiliarwiththerepresentationof boxdiagramand掌握：学习目标signal flow diagram of digital filters,understand theMasterLearning Objectivescharacteristics of IIR and FIR digital filters, understandand master the basic structure and characteristics of IIRand FIR digital filters,and draw various structuraldrawings; understand the concepts and constraints oflinear phase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 andengineering application, and gradually cultivate the students德育目标exploration spirit and innovation abilityMoral 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 ina multidisciplinary context数字滤波器的信号流图；IIR和FIR数字滤波器的差分方程、结构类型、系统函数及其零极点分布特点：IIR数字滤波器的直接型、级联型和并联型结构及其特点：FIR数字滤波器的直接型、级联型、频率抽样型结构和线性相位结构及其特点。重点：Signal flowdiagramof the digital filter,Key PointsDifferenceequation, structure type, systemfunction and zero-poledistribution characteristics of IIR and FIR digital filters;Direct, cascade and parallel structure ofIIR digital filter and itscharacteristics,Direct type, cascade type, frequency sampling type structure and linearphase structure of FIR digital filter and their characteristics10 /18

10 / 18 知识单元序号: Knowledge Unit No. 6 支撑教学目标: SLOs Supported 1-2,1-3 知识单元名称 Unit Title 数字滤波器的基本结构 Basic structure of the digital filters 知识点: Knowledge Delivery 数字滤波器结构的表示方法 Representation method of the digital filter structure IIR 滤波器的基本结构 Basic structure of the IIR filter FIR 滤波器的基本结构 Basic structure of the FIR filter 学习目标: Learning Objectives 掌握: Master 熟悉数字滤波器的方框图和信号流图的表示方法；理 解 IIR 和 FIR 数字滤波器的特点；理解并掌握 IIR 和 FIR 数字滤波器的基本结构及其特点，并会画各种结 构图；理解线性相位的概念和约束条件。 Be familiar with the representation of box diagram and signal flow diagram of digital filters; understand the characteristics of IIR and FIR digital filters; understand and master the basic structure and characteristics of IIR and FIR digital filters, and draw various structural drawings; understand the concepts and constraints of linear phase. 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 数字滤波器的信号流图； IIR 和 FIR 数字滤波器的差分方程、结构类型、系统函数及其零极 点分布特点； IIR 数字滤波器的直接型、级联型和并联型结构及其特点； FIR 数字滤波器的直接型、级联型、频率抽样型结构和线性相位结 构及其特点。 Signal flow diagram of the digital filter; Difference equation, structure type, system function and zero-pole distribution characteristics of IIR and FIR digital filters; Direct, cascade and parallel structure of IIR digital filter and its characteristics; Direct type, cascade type, frequency sampling type structure and linear phase structure of FIR digital filter and their characteristics