信号与系统基础

Preface

Chapter 1 Introduction

1.1 Overview of signals and systems

1.1.1 What is a signal?

1.1.2 What is a system?

1.2 Description and classification of signals

1.2.1 Continuous-time signals and discrete-time signals

1.2.2 Energy signals and power signals

1.2.3 Periodic signals and non-periodic signals

1.2.4 Deterministic signals and random signals

1.2.5 Elementary signals

1.3 Description of Systems

1.3.1 Elementary systems

1.3.2 System modelling

1.4 Properties of systems

1.4.1 Memoryless and with memory

1.4.2 Causality

1.4.3 Invertibility

1.4.4 Stability

1.4.5 Time-invariance

1.4.6 Linearity

1.5 Summary

1.6 Problems

Chapter 2 Time-domain Analysis of LTI Systems

2.1 Introduction

2.2 The unit impulse response and convolutions

2.2.1 The convolution sum ~

2.2.2 The convolution integral

2.3 Properties of convolutions and equivalent systems

2.4 Causality and stability of LTI systems

2.5 Systems constrained with LCCDEs

2.5.1 Continuous-time systems constrained with LCCDEs

2.5.2 Discrete-time systems characterized by LCCDEs

2.6 Summary

2.7 Problems

Chapter 3 Fourier Analysis of Signals

3.1 Introduction

3.2 Fourier series for continuous-time periodic signals

3.3 Fourier series for discrete-time periodic signals

3.4 Why should a signal be transformed?

3.5 Fourier transform for continuous-time signals

3.5.1 Properties of Fourier transform

3.5.2 Inverse Fourier transform

3.6 The discrete-time Fourier transform

3.6.1 Properties of DTFT

3.6.2 Inverse DTFT

3.7 Fourier series and Fourier transforms

3.8 Summary

3.9 Problems

Chapter 4 Frequency-domain Approach to LTI Systems

4.1 Introduction

4.2 Frequency response of LTI systems

4.3 Bode plots for continuous-time LTI systems

4.4 Frequency response of LTIs described with LCCDEs

4.5 Frequency domain approach to system outputs

4.6 Some typical LTI systems

4.6.1 All-pass systems

4.6.2 Linear phase response systems

4.6.3 Ideal filters

4.6.4 Ideal transmission channels

4.7 Summary

4.8 Problems

Chapter 5 Discrete Processing of Analog Signals

5.1 Introduction

5.2 Sampling of a continuous-time signal

5.3 Spectral relationship and sampling theorem

5.4 Reconstruction of continuous-time signals

5.5 Hybrid systems for discrete processing

5.6 Discrete Fourier transform

5.7 Compressed sensing

5.8 Summary

5.9 Problems

Chapter 6 Transform-domain Approaches

Chapter 7 Structures and State-space Realizations

Chapter 8 Comprehensive Problems

Appendices

Bibliography

“信号与系统”是电气工程、电子信息工程、通信工程和自动化等本科专业最重要的基础课程之一。本教材对应于“信号与系统”全国双语示范课程。书中凝练了作者多年的教学经验及心得，针对国内双语及全英文教学现状，力求培养学生的自学能力和分析问题的能力。本书： 1）文字简练, 内容安排上采用模拟-离散双域交替的方式。 2）在处理常系数线性微分（差分）方程及由其描述的线性时不变系统与变换的关系上有独到之处。 3）知识体系完整，系统及逻辑性强, 同时也适用于自学。详见书中前言（Preface）部分。