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XuetangX

Signal and Linear System

Hebei University of Technology via XuetangX

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Overview

Signals and linear systems is an important fundamental course for students majoring in information and communication technology. Its contents mainly focus on the theories and methods of signal and linear system  in the domain of time, frequency and complex variable. After this course, Students will acquire the ability to analyze signals and systems in electronic system, communication system and information system, which is necessary for further study of many specialized courses such as signal processing, system design, fundamentals of communication, etc.

 

 

 

Syllabus

  • Instructor team and Course Introduction
    • Instructor team introduction
  • 1. Signal and System Basic Knowledge Module
    • 1-1 Basic concepts of signals and systems
    • 1-2 Classification of signals
    • 1-3 Several typical deterministic signals
    • 1-4 Signal decomposition
    • 1-5 Basic operations of signals
    • 1-6 Step signal and its characteristics
    • 1-7 Impulse signal and its characteristics
    • 1-8 System model and its classification
    • 1-9 Linear time invariant system
    • 1-10 Causal and non-causal systems, stable and unstable systems
    • Test of the first module
  • 2. Time-domain analysis method of LTI continuous system
    • 2-0 Content summary
    • 2-1 Time-domain solution of LTI continuous system
    • 2-2 The initial state and initial value of the system
    • 2-3 Classification of system response
    • 2-4 Zero input response and zero state response
    • 2-5 Impulse response and step response
    • 2-6 Convolution integral
    • 2-7 Using Convolution integral to solve system zero state response
    • Test of the second module
  • 3. Frequency domain analysis method module of LTI continuous system
    • 3-1Teaching content and requirements
    • 3-2 The orthogonal function decomposition of signals
    • 3-3 Spectrum analysis of periodic signals
    • 3-4 Spectral characteristics of typical periodic signals
    • 3-5 Spectrum analysis of aperiodic signals
    • 3-6 Spectral characteristics of typical aperiodic signals
    • 3-7 Spectral characteristics of singular signals
    • 3-8 The nature of Fourier transform and its engineering application
    • 3-9 Energy spectrum and power spectrum
    • 3-10 Fourier transform of periodic signal
    • 3-11 Frequency domain analysis of LTI system
    • 3-12 Distortion-free transmission of signals
    • 3-13 Ideal low-pass filter
    • 3-14 Signal sampling
    • 3-15 Sampling theorem and its application
    • Test of the third module
  • 4. S-domain analysis method module of LTI continuous system
    • 4-1 Laplace transform
    • 4-2 Convergence domain of Laplace transform
    • 4-3 Laplace transformation of typical signals
    • 4-4 The main properties of Laplace transform
    • 4-5 Laplace inverse transform
    • 4-6 System function
    • 4-7 S-domain analysis and application of LTI system
    • Fourth module test
  • 5. Time-domain analysis method module of LTI discrete system
    • 5-0 introduction
    • 5-1 Teaching content and requirements
    • 5-2 Mathematical model of discrete time system
    • 5-3 Classical solution of difference equation
    • 5-4 Zero input response and zero state response of discrete systems
    • 5-5 Unit sequence response of discrete LTI systems
    • 5-6 Definition and Solution of Convolution Sum
    • 5-7 The nature and application of convolution sum
    • The fifth module test
  • 6. Z-domain analysis method of LTI discrete system
    • 6-0 introduction
    • 6-1 Teaching content and requirements
    • 6-2 Definition of Z transform and z transform of typical sequence
    • 6-3 Convergence domain of Z transform
    • 6-4 The properties of the Z transform
    • 6-5 Inverse Z transform，Power series expansion method
    • 6-6 Inverse Z transform, partial fraction expansion method
    • 6-7 Z domain analysis
    • The sixth module test
  • 7. System function and system characteristic module
    • 7-1 System functions and time domain characteristics
    • 7-2 System functions and frequency domain characteristics
    • 7-3 System functions and their causality and stability
    • 7-4 Signal flow diagram and its properties
    • 7-5 Simplification of signal flow diagram
    • 7-6 System simulation
    • The seventh module test
  • Course discussion
    • Examination
      • Final exam
    • Experiment
      • Experiment 1 Time-domain response test and analysis of LTI continuous system
      • Experiment 2 Continuous system frequency domain analysis
      • Experiment 3 Transform domain analysis of continuous system
      • Experiment 4 Time-domain and transform-domain analysis of discrete systems
      • Experiment 5 Comprehensive experiment

    Taught by

    Liu Cuixiang, Baozhu Wang, Cheng Zeng, Yang Fan, Yang Fan, Bai Zhenxu, and Geng Chong

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