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XuetangX

Signals and Systems

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Overview

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"Signals and Systems" is a core foundational course for electronic information-related majors, aimed at explaining the time-domain and frequency-domain analysis methods for deterministic signals, as well as the fundamental characteristics and analytical approaches of linear time-invariant systems.

This course holds significant engineering application value. Its theories serve as an essential foundation for subsequent courses such as digital signal processing, communication principles, and automatic control, with direct and extensive applications in fields like communications, image processing, speech recognition, and biomedical engineering. Through this course, students will establish a comprehensive knowledge framework for signal and system analysis, master fundamental analytical tools, and develop abstract thinking and the ability to solve complex engineering problems.

The course is primarily delivered through a blended online and offline approach. In line with the standards of a first-class course, it features recorded lectures, rich illustrations, Chinese subtitles, and thought-provoking questions. The course interface has been optimized with dynamic effects to create a more engaging presentation.

The course consists of 32 class hours and covers seven main chapters, with ideological and political elements organically integrated into the content. Leveraging the OBE concept, discovery-based learning, and self-directed learning guidance, the course skillfully utilizes the diverse nature of internet information to encourage students to engage in divergent, self-directed knowledge acquisition.

The teaching team for this course is highly qualified, comprising one professor with a Ph.D., two associate professors, and three lecturers, ensuring strong professional expertise.



Syllabus

  • Unit 1
    • 1.1 Classification of Signals and Systems
    • 1.2 Determination of System Linearity and Time-Invariance
  • Unit 2
    • 2.1The Time-Domain Description of Basic Continuous-Time Signals
    • 2.2The basic operations on continuous-time signals
    • 2.3Time-Domain Description of Basic Discrete-Time Signals
    • 2.4Basic Operations on Discrete Signals
    • 2.5Signal Decomposition
  • Unit 3
    • 3.1Solving for the Response of a Continuous LTI System Using Differential Equations
    • 3.2Convolution Integral of Continuous-Time LTI Systems
    • 3.3 Solving the Response of a Discrete-Time LTI System Using Difference Equations
    • 3.4 Convolution Sum of Discrete-Time LTI Systems
    • 3.5 Unit Impulse (Pulse) Response Representation of System Characteristics
  • Unit 4
    • 4.1 Fourier Series of Continuous Periodic Signals
    • 4.2 Properties of Fourier Series of Continuous Periodic Signals
    • 4.3 Fourier Transform of Continuous Signals
    • 4.4 Properties of the Fourier Transform of Continuous-Time Signals
    • 4.5 Frequency-Domain Analysis of Discrete Signals
  • Unit 5
    • 5.1 Frequency Response of Continuous‑Time Systems
    • 5.2 Frequency Response of Discrete‑Time Systems
    • 5.3 Distortionless Transmission Systems
    • 5.4 Ideal Filters
    • 5.5 Time‑Domain Sampling Theorem
  • Unit 6
    • 6.1 Laplace Transform of Continuous-Time Signals
    • 6.2 Properties of the Laplace Transform
    • 6.3 The Inverse Laplace Transform
    • 6.4 Z-Transform of Discrete-Time Signals and Its Properties
    • 6.5 Z-Transform Inversion
  • Unit 7
    • 7.1 The Zero-State Response of a System under Complex Exponential Signal Excitation
    • 7.2 Solving Continuous-Time LTI System Differential Equations in the Complex Frequency Domain
    • 7.3 System Function and Characteristics of Continuous-Time LTI Systems
    • 7.4 Complex Frequency‑Domain (Z‑Domain) Solutions of Difference Equations for Discrete‑Time LTI System
    • 7.5 System Function and System Characteristics of Discrete‑Time LTI Systems

Taught by

Wuzhou University

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