信號與系統基礎(李剛、常麗萍、李勝編著書籍)

《信號與系統基礎》是2015年出版的圖書，作者是李剛、常麗萍、李勝。

基本介紹

• 書名：信號與系統基礎
• 作者：李剛 常麗萍 李勝
• ISBN：9787302385981
• 頁數：245
• 定價：36元

書籍信息

作者：李剛 常麗萍 李勝
定價：36元
印次：1-1
ISBN：9787302385981
出版日期：2015.01.01
印刷日期：2014.12.25

內容簡介

信號與系統”是電氣工程、電子信息工程、通信工程和自動化等本科專業最重要的基礎課程之一。本教材對應於“信號與系統”全國雙語示範課程。書中凝練了作者多年的教學經驗及心得，針對國內雙語及全英文教學現狀，力求培養學生的自學能力和分析問題的能力。本書： 1）文字簡練, 內容安排上採用模擬-離散雙域交替的方式。 2）在處理常係數線性微分（差分）方程及由其描述的線性時不變系統與變換的關係上有獨到之處。 3）知識體系完整，系統及邏輯性強, 同時也適用於自學。詳見書中前言（Preface）部分。

圖書目錄

Contents

Preface ............................................................................................................... i

Chapter 1 Introduction................................................................................. 1

1.1 Overview of signals and systems............................................................. 1

1.1.1 What is a signal?......................................................................... 1

1.1.2 What is a system? ....................................................................... 2

1.2 Description and classi.cation of signals .................................................. 5

1.2.1 Continuous-time signals and discrete-time signals .......................... 6

1.2.2 Energy signals and power signals .................................................. 9

1.2.3 Periodic signals and non-periodic signals......................................11

1.2.4 Deterministic signals and random signals .....................................14

1.2.5 Elementary signals......................................................................15

1.3 Description of Systems .........................................................................22

1.3.1 Elementary systems....................................................................22

1.3.2 System modelling .......................................................................26

1.4 Properties of systems ...........................................................................29

1.4.1 Memoryless and with memory.....................................................29

1.4.2 Causality ...................................................................................30

1.4.3 Invertibility................................................................................30

1.4.4 Stability.....................................................................................31

1.4.5 Time-invariance..........................................................................33

1.4.6 Linearity....................................................................................34

1.5 Summary.............................................................................................37

1.6 Problems.............................................................................................37

Chapter 2 Time-domain Analysis of LTI Systems.....................................43

2.1 Introduction ........................................................................................43

2.2 The unit impulse response and convolutions ..........................................43

2.2.1 The convolution sum ..................................................................45

2.2.2 The convolution integral .............................................................49

2.3 Properties of convolutions and equivalent systems..................................51

2.4 Causality and stability of LTI systems...................................................56

2.5 Systems constrained with LCCDEs .......................................................59

2.5.1 Continuous-time systems constrained with LCCDEs.....................59

2.5.2 Discrete-time systems characterized by LCCDEs ..........................62

2.6 Summary.............................................................................................64

2.7 Problems.............................................................................................65

Chapter 3 Fourier Analysis of Signals ........................................................69

3.1 Introduction ........................................................................................69

3.2 Fourier series for continuous-time periodic signals ..................................70

3.3 Fourier series for discrete-time periodic signals.......................................80

3.4 Why should a signal be transformed? ...................................................84

3.5 Fourier transform for continuous-time signals.........................................87

3.5.1 Properties of Fourier transform ...................................................92

3.5.2 Inverse Fourier transform .......................................................... 100

3.6 The discrete-time Fourier transform .................................................... 101

3.6.1 Properties of DTFT.................................................................. 106

3.6.2 Inverse DTFT .......................................................................... 109

3.7 Fourier series and Fourier transforms................................................... 110

3.8 Summary........................................................................................... 114

3.9 Problems ........................................................................................... 115

Chapter 4 Frequency-domain Approach to LTI Systems ....................... 121

4.1 Introduction ...................................................................................... 121

4.2 Frequency response of LTI systems...................................................... 121

4.3 Bode plots for continuous-time LTI systems.........................................127

4.4 Frequency response of LTIs described with LCCDEs ............................ 130

4.5 Frequency domain approach to system outputs .................................... 135

4.6 Some typical LTI systems ................................................................... 138

4.6.1 All-pass systems ....................................................................... 138

4.6.2 Linear phase response systems................................................... 139

4.6.3 Ideal .lters............................................................................... 140

4.6.4 Ideal transmission channels ....................................................... 143

4.7 Summary........................................................................................... 145

4.8 Problems ........................................................................................... 146

Chapter 5 Discrete Processing of Analog Signals ................................... 149

5.1 Introduction ...................................................................................... 149

5.2 Sampling of a continuous-time signal...................................................150

5.3 Spectral relationship and sampling theorem ......................................... 150

5.4 Reconstruction of continuous-time signals............................................154

5.5 Hybrid systems for discrete processing................................................. 159

5.6 Discrete Fourier transform .................................................................. 160

5.7 Compressed sensing............................................................................ 164

5.8 Summary........................................................................................... 165

5.9 Problems ........................................................................................... 166

Chapter 6 Transform-domain Approaches ............................................... 169

6.1 Motivation.........................................................................................169

6.2 The Laplace transform ....................................................................... 169

6.2.1 Derivation of the transform ....................................................... 169

6.2.2 Region of convergence...............................................................171

6.2.3 Inverse Laplace transform ......................................................... 176

6.2.4 Properties of Laplace transform.................................................178

6.3 The z-transform................................................................................. 179

6.3.1 Region of convergence...............................................................180

6.3.2 Properties of the z-transform .................................................... 184

6.3.3 Inverse z-transform................................................................... 186

6.4 Transform-domain approach to LTI systems ........................................ 187

6.4.1 Transfer function of LTI systems ............................................... 188

6.4.2 Inverse systems of LTIs and deconvolutions................................190

6.4.3 Revisit of LTI system’s stability and causality ............................ 192

6.4.4 Transfer function of LTI systems by LCCDEs ............................ 195

6.5 Transform domain approach to LCCDEs ............................................. 197

6.6 Decomposition of LTI system responses ............................................... 200

6.7 Unilateral transforms ......................................................................... 202

6.7.1 Unilateral Laplace transform ..................................................... 203

6.7.2 Unilateral z-transform .............................................................. 205

6.8 Summary........................................................................................... 207

6.9 Problems ........................................................................................... 207

Chapter 7 Structures and State-space Realizations ................................ 212

7.1 Block-diagram representation.............................................................. 212

7.2 Structures of LTIs with a rational transfer function..............................214

7.3 State-space variable representation......................................................219

7.3.1 State model and state-space realizations .................................... 219

7.3.2 Construction of an equivalent state-space realization................... 221

7.3.3 Similarity transformations.........................................................222

7.4 Discretizing a continuous-time state model .......................................... 224

7.5 Summary........................................................................................... 227

7.6 Problems ........................................................................................... 228

Chapter 8 Comprehensive Problems ........................................................ 231

8.1 Motivation.........................................................................................231

8.2 Problems ........................................................................................... 231

Appendices .................................................................................................... 237

Bibliography .................................................................................................. 246