• Chapter 01

  Fundamental Concepts
  信号与系统

  Signals and systems, common signals, impulse and step functions, system properties (linearity, time invariance, causality).

• Chapter 02

  Time-Domain Models of Systems
  系统的时域分析

  System mathematical models, impulse and step responses, convolution: meaning, computation, properties, and applications.

• Chapter 03

  The Fourier Series and Fourier Transform
  傅里叶级数与傅里叶变换

  Orthogonal decomposition, Fourier series, Fourier transform properties, physical meaning and applications.

• Chapter 04

  Fourier Analysis of System
  系统的傅里叶分析

  Frequency response, sampling theorem, signal reconstruction, aliasing and anti-aliasing filters.

• Chapter 05

  Fourier Analysis of Discrete-Time Signal and Systems
  离散时间信号与系统的傅里叶分析

  DTFT, DFT, FFT algorithm, comparison of CFS / CTFT / DTFT / DFS / DFT / FFT, Fourier analysis of DT systems.

• Chapter 06

  The Laplace Transform and the Transfer Function Representation
  拉普拉斯变换与传递函数表示

  Laplace transform of a signal, properties, inverse Laplace transform, transfer function representation of LTI systems.

• Chapter 07

  The z-Transform and Discrete-Time Systems
  z 变换与离散时间系统

  z-transform of DT signals, properties, inverse z-transform, relationship with FT and LT, transfer function representation.

• Chapter 08

  System Analysis Using the Transfer Function Representation
  利用传递函数表示的系统分析

  Mathematical model of systems, stability and impulse response, stability of DT systems, frequency response, zero-pole features of common filters.

• Chapter 09

  Design of Digital Filter
  数字滤波器设计

  Ideal vs causal filters, IIR vs FIR, classical analog prototypes, impulse invariance and bilinear transform, window method, MATLAB toolkit, ECG application.