“Signal and Systems” Course OutlineCourses Name: Signals and SystemsCategories of Courses: Basic CourseCourse Number: 071210T107Course Ownership: School of Electronic Science & Information Technology Revised: August 2006一、The Responsibility and Character of the Course1、The Responsibility、Character and Goal of the CourseThis course is an important basal and professional class for the communication professional engineering. It focused on the characteristics of signal, the characteristics of the linear time-invariant system, the basic analysis for the signal through linear systems. From time domain to transform domain, from continuous-time to discrete-time, from the description of the input and output to state description.Through this course, students can master the methods of signal analysis and the basic theory of linear systems, cultivate the students’thinking , reasoning and analyzing abilities. This is the foundation to study digital signal processing, communications theory, signal and information processing, signal detection and etc.2、Basic Requirements of the CourseThe course can enable students to master the signal and linear system's basic theory, basic analysis, This is the foundation to study the following courses and the research in the future actual work.3、Suitable Professions、Teaching Hours and CreditSuitable professions: Communication Engineering, Network Engineering and etc.Teaching hours:54 hours(42 for the theory and 12 for the experiments).Credit: 34、Pre-CoursesHigher Mathematics, Complex Function, Basal Circuit Analysis5、Reference Books◆Signals and Systems (Second Edition) , Alan S.Willsky Publishing House ofElectronics Industry 2006◆Signals and Systems(Second Edition), Zheng,Junli Publishing House ofthe High Education 20006、Teaching MethodsTeaching ways: classroom teaching and experimentScores: total=paper examination（70%）+ usual scores（10%）+ experiment scores（20%）。

二、The Teaching Content and Requirement1、Contents and RequirementsChapter 1 Signals and Systems1. Basal ContentsThe Concepts of Continuous-Time and Discrete-Time Signals; The Concepts of Continuous-Time and Discrete-Time Systems; Basal Operation of Signals; Calculation of Convolution.2. Basal RequirementsMaster Contents:①The Concepts of Continuous-Time and Discrete-Time Signals;②The Concepts of Continuous-Time and Discrete-Time Systems.Comprehensive Contents:①Basal Operation of Signals;②Calculation of Convolution.3. Key Contents and DifficultiesKey Contents: The Concepts of Signals and Systems.Difficulties: Calculation of Convolution.4. Teaching Contents and Requirement of TimeTeaching Contents:①The Concepts of Continuous-Time and Discrete-Time Signals;②The Concepts of Continuous-Time and Discrete-Time Systems;③Typical Signals;④Cross Decomposition of Signals;⑤Basal Operation of Signals;⑥Calculation of Convolution.Requirement of Time: 2 hoursChapter 2 Fourier Transform1. Basal ContentsFourier Series Representation of CT Periodic Signal; Fourier Transform of CT Aperiodic Signal and Its Properties; Fourier Transform of Periodic Signals;Sampling Theorem; Modulation Theory.2. Basal RequirementsMaster Contents:①Fourier Series Representation of CT Periodic Signal ;②Fourier Transform of CT Aperiodic Signal;③Fourier Transform of Typical Aperiodic Signals;④Sampling Theorem.Comprehensive Contents:①The Main Properties of Fourier Transform;②Modulation Theory.3. Key Contents and DifficultiesKey Contents:Fourier Transform and Its Properties; Sampling Theorem.Difficulties: Modulation Theory.4. Teaching Contents and Requirement of TimeTeaching Contents:①Fourier Series Representation of CT Periodic Signal ;②Fourier Transform of CT Aperiodic Signal;③Fourier Transform of Typical Aperiodic Signals;④The Main Properties of Fourier Transform;⑤Fourier Transform of CT Periodic Signals;⑥Sampling Theorem;⑦Modulation Theory.Requirement of Time: 8 hoursChapter 3 The Laplace Transform1. Basal ContentsDefinition of Laplace Transform and Its Region of Convergence (ROC); The Main Properties of Laplace Transform; The Calculation for Inverse Laplace Transform.2. Basal RequirementsMaster Contents:①Definition of Laplace Transform and Its Region of Convergence (ROC);②The Calculation for Inverse Laplace Transform.Comprehensive Contents:①The Main Properties of Laplace Transform;②Relationship Between Fourier Transform and Laplace Transform.3. Key Contents and DifficultiesKey Contents: Laplace Transform and Its Properties.Difficulties: The Calculation for Inverse Laplace Transform.4. Teaching Contents and Requirement of TimeTeaching Contents:①Definition of Laplace Transform;②The Region of Convergence (ROC) of Laplace Transform;③The Main Properties of Laplace Transform;④Relationship Between Fourier Transform and Laplace Transform;⑤The Calculation for Inverse Laplace Transform.Requirement of Time: 4 hoursChapter 4 The Z-Transform1. Basal ContentsDefinition of Z-Transform and Its Region of Convergence (ROC); The Main Properties of Z-Transform; The Calculation for Inverse Z-transform.2. Basal RequirementsMaster Contents:①Definition of Z-Transform and Its Region ofConvergence (ROC);②The Calculation for Inverse Z-transform.Comprehensive Contents:①The Main Properties of Z-Transform;②Relationship between Z-Transform and Laplace Transform.3. Key Contents and DifficultiesKey Contents: Z-Transform and Its Properties.Difficulties: The Calculation for Inverse Z-Transform.4. Teaching Contents and Requirement of TimeTeaching Contents:①Definition of Z-Transform;②The Region of Convergence (ROC) of Z-Transform;③The Main Properties of Z-Transform;④Relationship Between Z-Transform and Laplace Transform;⑤The Calculation for Inverse Z-transform.Requirement of Time: 8 hoursChapter 5 Analyzing CT System In Time Domain1. Basal ContentsCausality, Linearity, Time-Invariance of System; Analyzing CT System With Convolution.2. Basal RequirementsMaster Contents:①Causality, Linearity, Time-Invariance of System;②Analyzing CT System With Convolution.Comprehensive Contents: The Meaning of Convolution.3. Key Contents and DifficultiesKey Contents: Analyzing CT System With Convolution.Difficulties: How to Analyze Practical Systems With Convolution. 4. Teaching Contents and Requirement of TimeTeaching Contents:①Causality, Linearity, Time-Invariance of System;②Analyzing CT System With Convolution;③The Meaning of Convolution.Requirement of Time: 2 hoursChapter 6 Analyzing CT System In Frequency Domain1. Basal ContentsThe Concepts of System Function H(jw); The Condition For None-distortion Transmission; Ideal Low-pass Filter and Practical Low-pass Filter.2. Basal RequirementsMaster Contents:①The Concepts of System Function H(jw); ②The Condition For None-distortion Transmission.Comprehensive Contents:①Ideal Low-pass Filter; ②Practical Low-pass Filter.3. Key Contents and DifficultiesKey Contents:The Concepts of System Function H(jw); The Condition For None-distortion Transmission.Difficulties: How to construct a Practical Low-pass Filter.4. Teaching Contents and Requirement of TimeTeaching Contents:①The Concepts of System Function H(jw); ②The Condition For None-distortion Transmission;③Ideal Low-pass Filter;④Practical Low-pass Filter.Requirement of Time: 4 hoursChapter 7 Analyzing CT System In Complex Frequency Domain 1. Basal ContentsThe Concepts of System Function H(s); The Plot of Zeros And Poles of System Function; The Concepts of Filters; Representation of Linear Systems.2. Basal RequirementsMaster Contents:①The Concepts of System Function H(s); ②The Plot of Zeros And Poles of System Function H(s).Comprehensive Contents:①Low-pass filter; High-pass filter; Band-pass filter; Band-resist filter; ②Representation of Linear Systems.3. Key Contents and DifficultiesKey Contents: The Concepts of System Function H(s); The Plot of Zeros And Poles of System Function H(s).Difficulties: Representation of Linear Systems.4. Teaching Contents and Requirement of TimeTeaching Contents:①The Concepts of System Function H(s); ②The Plot of Zeros And Poles of System Function H(s);③Low-pass filter; High-pass filter; Band-pass filter; Band-resist filter;④Representation of Linear Systems;⑤Mason Formula.Requirement of Time: 4 hoursChapter 8 Analyzing DT System In Time Domain1. Basal ContentsMathematic Modes of DT System; The Concepts of Difference Equation; Solution of Difference Equation; Analyzing DT System With Convolution.2. Basal RequirementsMaster Contents:①Mathematic Modes of DT System; ②Analyzing DT System With Convolution.Comprehensive Contents:①Solution of Difference Equation; ②Calculation of Convolution.3. Key Contents and DifficultiesKey Contents:Mathematic Modes of DT System; Analyzing DT System With Convolution.Difficulties: Calculation of Convolution.4. Teaching Contents and Requirement of TimeTeaching Contents:①Mathematic Modes of DT System; ②The Concepts of Difference Equation; ③Solution of Difference Equation; ④Analyzing DT System With Convolution.Requirement of Time: 2 hoursChapter 9 Analyzing DT System In Z-Domain1. Basal ContentsThe Concepts of System Function H(z); The Plot of Zeros And Poles of DC System Function H(z);The Frequency Property of DC System.2. Basal RequirementsMaster Contents:①The Concepts of System Function H(z); ②The Plot of Zeros And Poles of DC System Function H(z).Comprehensive Contents: The Frequency Property of DC System. 3. Key Contents and DifficultiesKey Contents:The Concepts of System Function H(z); The Frequency Property of DC System.Difficulties: The Plot of Zeros And Poles of DC System Function H(z).4. Teaching Contents and Requirement of TimeTeaching Contents:①The Concepts of System Function H(z); ②The Plot of Zeros And Poles of DC System Function H(z);③The Frequency Property of DC System;④Examples.Requirement of Time: 4 hoursChapter 10 Analyzing System With State-Variables1. Basal ContentsThe State Space Description for Systems; The Concepts of State Variables; State-Equation and Output- Equation; Relationship Between System Function and State Equation.2. Basal RequirementsMaster Contents:①The State Space Description for Systems; ②The Concepts of State Variables; State-Equation and Output- Equation.Comprehensive Contents:Relationship Between System Function and State Equation.3. Key Contents and DifficultiesKey Contents: The Concepts of State Variables; State-Equation andOutput- Equation.Difficulties: Relationship Between System Function and State Equation.4. Teaching Contents and Requirement of TimeTeaching Contents:①The State Space Description for Systems; ②The Concepts of State Variables; State-Equation and Output- Equation;③Relationship Between System Function and State Equation;④Examples.Requirement of Time: 4 hours2、The Plan of Teaching Time三、The Contents and Requirements of ExperimentsBy experiment, the practical capability of the students will be exercised, Meanwhile, it can enhance comprehension of the course, The requirement and content can be seen in the experiment teaching outline.。