Signals and Systems is a mandatory fundamental course for college students in Electronic and Information Engineering majors. It elucidates the principles and methods in signal analysis and system description and the interaction mechanism between signals and systems. The course is distinct from other courses with its articulate structure, rich contents, and advanced teaching philosophies. During the process of the study, students will be able to understand the core ideas that signal and systems analysis is essentially signal representation and system description, respectively. With different basis functions, signals can be represented in different domains, and thus different approaches can be taken depending on the tasks of signal analysis and processing. Accordingly, systems can be described in different domains, and thus different methods can be taken for system analysis and design.
The future is here: we have entered a new era characterized with informationization and intelligentization, for which Signals and Systems provides the fundamental theories and analytical methods. The course paves the way for the students in relevant majors by establishing the crucial concepts of spectrum and transfer functions, fitting us better in the future.
1.1 Introduction to signals and sytems
1.2 Classification of signals
1.3 Classification of systems
Exercise
Chapter 2 Signal Analysis in the Time Domain
2.1 Elementary continuous-time signals
2.2 Basic operations on continuous-time signals
2.3 Elementary discrete-time signals
2.4 Basic operations on discrete-time signals
2.5 Signal decomposition
2.6 Tutorial
2.7 Signal analysis in time with MATLAB
Exercise
Chapter 3 System Analysis in the Time Domain
3.1 Description of linear time-invariant systems in the time domain
3.2 Response analysis of continuous-time LTI systems in the time domain
3.3 Response evaluation of continuous-time LTI systems
3.4 Impulse response for continuous-time LTI system characterization
3.5 Tutorial for response evaluation of continuous-time LTI systems
3.6 Response analysis of discrete-time LTI systems in the time domain
3.7 Response evaluation of discrete-time LTI systems
3.8 Impulse response of discrete-time LTI system characterization
3.9 Tutorial for response evaluation of discrete-time LTI systems
3.10 Analysis of systems in the time domain with MATLAB
Exercise
Midterm Exam: Chapters 1-3
Chapter 4 Signal Analysis in the Frequency Domain
4.1 Fourier analysis of periodic C-T signals
4.2 Frequency analysis of nonperiodic C-T signals
4.3 Fourier analysis of periodic D-T sequences
4.4 Fourier analysis of nonperiodic D-T sequences
4.5 Sampling of signals in the time domain
4.6 An example of signal analysis in the frequency domain
4.7 Frequency analysis of signals with MATLAB
Chapter 5 System Analysis in the Frequency Domain
5.1 Frequency response of a C-T LTI system
5.2 Evaluation of the frequency response of a C-T LTI systems
5.3 Zero-state response of a C-T LTI system to signals
5.4 Ideal analog filters
5.5 Frequency response of a D-T LTI system
5.6 Ideal digital filters
5.7 Amplitude modulation and demodulation
5.8 Frequency response analysis of systems in MATLAB
exercise
Midterm Exam: Chapters 4-5
Chapter 6 Complex Frequency Analysis of Continuous-Time Signals and Systems
6.1 C-T signal representation in the complex frequency domain
6.2 Unilateral Laplace transform of common C-T signals
6.3 Properties of unilateral Laplace transform
6.4 Evaluation of inverse Laplace transform
6.5 Bilateral Laplace transform and its inverse
6.6 Description of C-T LTI systems in the complex frequency domain
6.7 Transfer function and system properties
6.8 Implementation of C-T LTI systems
6.9 Complex frequency analysis of C-T LTI system response
6.10 Complex frequency analysis of signals and systems in MATLAB
Chapter 7 Complex Frequency Analysis of Discrete-Time Signals and Systems
7.1 Representation of D-T signals in z-domain
7.2 Unilateral z-transform of common D-T sequences
7.3 Properties of unilateral z-transform
7.4 Evaluation of unilateral z-transform
7.5 Bilateral z-transform and its inverse
7.6 Description of D-T LTI systems in z-domain
7.7 Transfer function and system properties
7.8 Implementation of D-T LTI systems
7.9 z-domain analysis of system's responses
7.10 Complex analysis of D-T signals and systems in MATLAB
Final Exam: Chapters 6-7