信号与系统（第二版）（英文版） pdf epub mobi txt 电子书 下载 2026
出版者:电子工业出版社
作者:[美]Alan V.Oppenheim
出品人:
页数:988
译者:
出版时间:2015-4
价格:89.00元
装帧:平装
isbn号码:9787121257278
丛书系列:国外电子与通信教材系列
图书标签:
- 英文
- 美国
- 教材讲义
- 工程学
- 信息通信工程基础
- 信息与通信工程
- 信息与通信
- 信号与系统
- 信号与系统
- 电路分析
- 线性系统
- 傅里叶变换
- 拉普拉斯变换
- 控制系统
- 通信系统
- 信号处理
- 系统分析
- 工程数学
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具体描述
本书是美国麻省理工学院（MIT）的经典教材之一，讨论了信号与系统分析的基本理论、基本分析方法及其应用。全书共分11章，主要讲述了线性系统的基本理论、信号与系统的基本概念、线性时不变系统、连续与离散信号的傅里叶表示、傅里叶变换以及时域和频域系统的分析方法等内容。本书作者使用了大量在滤波、采样、通信和反馈系统中的实例，并行讨论了连续系统、离散系统、时域系统和频域系统的分析方法，使读者能透彻地理解各种信号系统的分析方法并比较其异同。
作者简介
目录信息
CONTENTS
1 SIGNALS AND SYSTEMS 1
1.0 Introduction 1
1.1 Continuous-Time and Discrete-Time Signals 1
1.1.1 Examples and Mathematical Representation 1
1.1.2 Signal Energy and Power 5
1.2 Transformations of the Independent Variable 7
1.2.1 Examples of Transformations of the Independent Variable 8
1.2.2 Periodic Signals 11
1.2.3 Even and Odd Signals 13
1.3 Exponential and Sinusoidal Signals 14
1.3.1 Continuous-Time Complex Exponential and Sinusoidal Signals 15
1.3.2 Discrete-Time Complex Exponential and Sinusoidal Signals 21
1.3.3 Periodicity Properties of Discrete-Time Complex Exponentials 25
1.4 The Unit Impulse and Unit Step Functions 30
1.4.1 The Discrete-Time Unit Impulse and Unit Step Sequences 30
1.4.2 The Continuous-Time Unit Step and Unit Impulse Functions 32
1.5 Continuous-Time and Discrete-Time Systems 38
1.5.1 Simple Examples of Systems 39
1.5.2 Interconnections of Systems 41
1.6 Basic System Properties 44
1.6.1 Systems with and without Memory 44
1.6.2 Invertibility and Inverse Systems 45
1.6.3 Causality 46
1.6.4 Stability 48
1.6.5 Time Invariance 50
1.6.6 Linearity 53
1.7 Summary 56
Problems 57
2 LINEAR TIME-INVARIANT SYSTEMS 74
2.0 Introduction 74
2.1 Discrete-Time LTI Systems: The Convolution Sum 75
2.1.1 The Representation of Discrete-Time Signals in Terms
of Impulses 75
2.1.2 The Discrete-Time Unit Impulse Response and the Convolution-Sum
Representation of LTI Systems 77
2.2 Continuous-Time LTI Systems: The Convolution Integral 90
2.2.1 The Representation of Continuous-Time Signals in Terms
of Impulses 90
2.2.2 The Continuous-Time Unit Impulse Response and the Convolution
Integral Representation of LTI Systems 94
2.3 Properties of Linear Time-invariant Systems 103
2.3.1 The Commutative Property 104
2.3.2 The Distributive Property 104
2.3.3 The Associative Property 107
2.3.4 LTI Systems with and without Memory 108
2.3.5 Invertibility of LTI Systems 109
2.3.6 Causality for LTI Systems 112
2.3.7 Stability for LTI Systems 113
2.3.8 The Unit Step Response of an LTI System 115
2.4 Causal LTI Systems Described by Differential and Difference
Equations 116
2.4.1 Linear Constant-Coefficient Differential Equations 117
2.4.2 Linear Constant-Coefficient Difference Equations 121
2.4.3 Block Diagram Representations of First-Order Systems Described
by Differential and Difference Equations 124
2.5 Singularity Functions 127
2.5.1 The Unit Impulse as an Idealized Short Pulse 128
2.5.2 Defining the Unit Impulse through Convolution 131
2.5.3 Unit Doublets and Other Singularity Functions 132
2.6 Summary 137
Problems 137
3 FOURIER SERIES REPRESENTATION OF PERIODIC SIGNALS 177
3.0 Introduction 177
3.1 A Historical Perspective 178
3.2 The Response of LTI Systems to Complex Exponentials 182
3.3 Fourier Series Representation of Continuous-Time
Periodic Signals 186
3.3.1 Linear Combinations of Harmonically Related Complex
Exponentials 186
3.3.2 Determination of the Fourier Series Representation
of a Continuous-Time Periodic Signal 190
3.4 Convergence of the Fourier Series 195
3.5 Properties of Continuous-Time Fourier Series 202
3.5.1 Linearity 202
3.5.2 Time Shifting 202
3.5.3 Time Reversal 203
3.5.4 Time Scaling 204
3.5.5 Multiplication 204
3.5.6 Conjugation and Conjugate Symmetry 204
3.5.7 Parseval＇s Relation for Continuous-Time Periodic Signals 205
3.5.8 Summary of Properties of the Continuous-Time Fourier Series 205
3.5.9 Examples 205
3.6 Fourier Series Representation of Discrete-Time
Periodic Signals 211
3.6.1 Linear Combinations of Harmonically Related Complex
Exponentials 211
3.6.2 Determination of the Fourier Series Representation of a
Periodic Signal 212
3.7 Properties of Discrete-Time Fourier Series 221
3.7.1 Multiplication 222
3.7.2 First Difference 222
3.7.3 Parseval＇s Relation for Discrete-Time Periodic Signals 223
3.7.4 Examples 223
3.8 Fourier Series and LTI Systems 226
3.9 Filtering 231
3.9.1 Frequency-Shaping Filters 232
3.9.2 Frequency-Selective Filters 236
3.10 Examples of Continuous-Time Filters Described by
Differential Equations 239
3.10.1 A Simple RC Lowpass Filter 239
3.10.2 A Simple RC Highpass Filter 241
3.11 Examples of Discrete-Time Filters Described by
Difference Equations 244
3.11.1 First-Order Recursive Discrete-Time Filters 244
3.11.2 Nonrecursive Discrete-Time Filters 245
3.12 Summary 249
Problems 250
4 THE CONTINUOUS-TIME FOURIER TRANSFORM 2,84
4.0 Introduction 284
4.1 Representation of Aperiodic Signals: The Continuous-Time
Fourier Transform 285
4.1.1 Development of the Fourier Transform Representation
of an Aperiodic.Signal 285
4.1.2 Convergence of Fourier Transforms 289
4.1.3 Examples of Continuous-Time Fourier Transforms 290
4.2 The Fourier Transform for Periodic Signals 296
4.3 Properties of the Continuous-Time Fourier Transform 300
4.3.1 Linearity 301
4.3.2 Time Shifting 301
4.3.3 Conjugation and Conjugate Symmetry 303
4.3.4 Differentiation and Integration 306
4.3.5 Time and Frequency Scaling 308
4.3.6 Duality 309
4.3.7 Parseval＇s Relation 312
4.4 The Convolution Property 314
4.4.1 Examples 317
4.5 The Multiplication Property 322
4.5.1 Frequency-Selective Filtering with Variable Center Frequenc) 325
4.6 Tables of Fourier Properties and of Basic Fourier
Transform Pairs 328
4.7 Systems Characterized by Linear Constant-Coefficient
Differential Equations 330
4.8 Summary 333
Problems 334
5 THE DISCRETE-TIME FOURIER TRANSFORM 358
5.0 Introduction 358
5.1 Representation of Aperiodic Signals: The Discrete-Time
Fourier Transform 359
5.1.1 Development of the Discrete-Time Fourier Transform 359
5.1.2 Examples of Discrete-Time Fourier Transforms 362
5.1.3 Convergence Issues Associated with the Discrete-Time Fourier
Transform 366
5.2 The Fourier Transform for Periodic Signals 367
5.3 Properties of the Discrete-Time Fourier Transform 372
5.3.1 Periodicity of the Discrete-Time Fourier Transform 373
5,3.2 Linearity of the Fourier Transform 373
5.3.3 Time Shifting and Frequency Shifting 373
5.3.4 Conjugation and Conjugate Symmetry 375
5.3.5 Differencing and Accumulation 375
5.3.6 Time Reversal 376
5.3.7 Time Expansion 377
5.3.8 Differentiation in Frequency 380
5.3.9 Parseval＇s Relation 380
5.4 The Convolution Property 382
5.4.1 Examples 383
5.5 The Multiplication Property 388
5.6 Tables of Fourier Transform Properties and Basic Fourier
Transform Pairs 390
5.7 Duality 390
5.7.1 Duality in the Discrete-Time Fourier Series 391
5.7.2 Duality between the Discrete-Time Fourier Transform ~md the
Continuous-Time Fourier Series 395
5.8 Systems Characterized by Linear Constant-Coefficient
Difference Equations 396
5.9 Summary 399
Problems 400
6 TIME AND FREQUENCY CHARACTERIZATION
OF SIGNALS AND SYSTEMS 423
6.0 Introduction 423
6.1 The Magnitude-Phase Representation of the Fourier
Transform 423
6.2 The Magnitude-Phase Representation of the Frequency Response
of LTI Systems 427
6.2.1 Linear and Nonlinear Phase 428
6.2.2 Group Delay 430
6.2.3 Log-Magnitude and Phase Plots 436
6.3 Time-Domain Properties of Ideal Frequency-Selective
Filters 439
6.4 Time-Domain and Frequency-Domain Aspects of Nonideal
Filters 444
6.5 First-Order and Second-Order Continuous-Time Systems 448
6.5.1 First-Order Continuous-Time Systems 448
6.5.2 Second-Order Continuous-Time Systems 451
6.5.3 Bode Plots for Rational Frequency Responses 456
6.6 First-Order and Second-Order Discrete-Time Systems 461
6.6.1 First-Order Discrete-Time Systems 461
6.6.2 Second-Order Discrete-Time Systems 465
6.7 Examples of Time- and Frequency-Domain Analysis
of Systems 472
6.7.1 Analysis of an Automobile Suspension System 473
6.7.2 Examples of Discrete-Time Nonrecursive Filters 476
6.8 Summary 482
Problems 483
7 SAMPLING 514
7.0 Introduction 514
7.1 Representation of a Continuous-Time Signal by Its Samples:
The Sampling Theorem 515
7.1.1 Impulse-Train Sampling 516
7.1.2 Sampling with a Zero-Order Hold 520
7.2 Reconstruction of a Signal from Its Samples Using
Interpolation 522
7.3 The Effect of Undersampling: Aliasing 527
7.4 Discrete-Time Processing of Continuous-Time Signals 534
7.4.1 Digital Differentiator 541
7.4.2 Half-Sample Delay 543
7.5 Sampling of Discrete-Time Signals 545
7.5.1 Impulse-Train Sampling 545
7.5.2 Discrete-Time Decimation and Interpolation 549
7.6 Summary 555
Problems 556
8 COMMUNICATION SYSTEMS 582
8.0 Introduction 582
8.1 Complex Exponential and Sinusoidal Amplitude Modulation 583
8.1.1 Amplitude Modulation with a Complex Exponential Car~ier 583
8.1.2 Amplitude Modulation with a Sinusoidal Carrier 585
8.2 Demodulation for Sinusoidal AM 587
8.2.1 Synchronous Demodulation 587
8.2.2 Asynchronous Demodulation 590
8.3 Frequency-Division Multiplexing 594
8.4 Single-Sideband Sinusoidal Amplitude Modulation 597
8.5 Amplitude Modulation with a Pulse-Train Carrier 601
8.5.1 Modulation of a Pulse-Train Carrier 601
8.5.2 Time-Division Multiplexing 604
8.6 Pulse-Amplitude Modulation 604
8.6.1 Pulse-Amplitude Modulated Signals 604
8.6.2 Intersymbol Interference in PAM Systems 607
8.6.3 Digital Pulse-Amplitude and Pulse-Code Modulation 610
8.7 Sinusoidal Frequency Modulation 611
8.7.1 Narrowband Frequency Modulation 613
8.7.2 Wideband Frequency Modulation 615
8.7.3 Periodic Square-Wave Modulating Signal 617
8.8 Discrete-Time Modulation 619
8.8.1 Discrete-Time Sinusoidal Amplitude Modulation 619
8.8.2 Discrete-Time Transmodulation 623
8.9 Summary＇ 623
Problems 625
9 THE LAPLACE TRANSFORM 654
9.0 Introduction 654
9.1 The Laplace Transform 655
9.2 The Region of Convergence for Laplace Transforms 662
9.3 The Inverse Laplace Transform 670
9.4 Geometric Evaluation of the Fourier Transform from the
Pole-Zero Plot 674
9.4.1 First-Order Systems 676
9.4.2 Second-Order Systems 677
9.4.3 AU-Pass Systems 681
9.5 Properties of the Laplace Transform 682
9.5.1 Linearity of the Laplace Transform 683
9.5.2 Time Shifting 684
9.5.3 Shifting in the s-Domain 685
9.5.4 Time Scaling 685
9.5.5 Conjugation 687
9.5.6 Convolution Property 687
9.5.7 Differentiation in the Time Domain 688
9.5.8 Differentiation in the s-Domain 688
9.5.9 Integration in the Time Domain 690
9.5.10 The Initial- and Final-Value Theorems 690
9.5.11 Table of Properties 691
9.6 Some Laplace Transform Pairs 692
9.7 Analysis and Characterization of LTI Systems Using the
Laplace Transform 693
9.7.1 Causality 693
9.7.2 Stability 695
9.7.3 LTI Systems Characterized by Linear Constant-Coefficient
Differential Equations 698
9.7.4 Examples Relating System Behavior to the System Function 701
9.7.5 Butterworth Filters 703
9.8 System Function Algebra and Block Diagram
Representations 706
9.8.1 System Functions for Interconnections of LTI Systems 707
9.8.2 Block Diagram Representations for Causal LTI Systems Described
by Differential Equations and Rational System Functions 708
9.9 The Unilateral Laplace Transform 714
9.9.1 Examples of Unilateral Laplace Transforms 714
9.9.2 Properties of the Unilateral Laplace Transform 716
9.9.3 Solving Differential Equations Using the Unilateral Laplace
Transform 719
9.10 Summary 720
Problems 721
10 THE Z-TRANSFORM 741
10.0 Introduction 741
10.1 The z-Transform 741
10.2 The Region of Convergence for the z-Transform 748
10.3 The Inverse z-Transform 757
10.4 Geometric Evaluation of the Fourier Transform from the
Pole-Zero Plot 763
10.4.1 First-Order Systems 763
10.4.2 Second-Order Systems 765
10.5 Properties of the z-Transform 767
1.0.5.1 Linearity 767
10.5.2 Time Shifting 767
10.5.3 Scaling in the z-Domain 768
10.5.4 Time Reversal 769
10.5.5 Time Expansion 769
10.5.6 Conjugation 770
10.5.7 The Convolution Property 770
10.5.8 Differentiation in the z-Domain 772
10.5.9 The Initial-Value Theorem 773
10.5.10 Summary of Properties 774
10.6 Some Common z-Transform Pairs 774
10.7 Analysis and Characterization of LTI Systems Using
z-Transforms 774
10.7.1 Causality 776
10.7.2 Stability 777
10.7.3 LTI Systems Characterized by Linear Constant-Coefficient
Difference Equations 779
10.7.4 Examples Relating System Behavior to the System Function 781
10.8 System Function Algebra and Block Diagram
Representations 783
10.8.1 System Functions for Interconnections of LTI Systems 784
10.8.2 Block Diagram Representations for Causal LTI Systems Described
by Difference Equations and Rational System Functions 784
10.9 The Unilateralz-Transform 789
10.9.1 Examples of Unilateral z-Transforms and Inverse Transforms 790
10.9.2 Properties of the Unilateral z-Transform 792
10.9.3 Solving Difference Equations Using the Unilateral
z-Transform 795
10.10 Summary 796
Problems 797
11 LINEAR FEEDBACK SYSTEMS 816
11.0 Introduction 816
11.1 Linear Feedback Systems 819
11.2 Some Applications and Consequences of Feedback 820
11.2.1 Inverse System Design 820
11.2.2 Compensation for Nonideal Elements 821
11.2.3 Stabilization of Unstable Systems 823
11.2.4 Sampled-Data Feedback Systems 826
11.2.5 Tracking Systems 828
11.2.6 Destabilization Caused by Feedback 830
11.3 Root-Locus Analysis of Linear Feedback Systems 832
11.3.1 An Introductory Example 833
11.3.2 Equation for the Closed-Loop Poles 834
11.3.3 The End Points of the Root Locus: The Closed-Loop Poles for
K = 0 and I|K|=+ 836
11.3.4 The Angle Criterion 836
11.3.5 Properties of the Root Locus 841
11.4 The Nyquist Stability Criterion 846
11.4.1 The Encirclement Property 847
11.4.2 The Nyquist Criterion for Continuous-Time LTI
Feedback Systems 850
11.4.3 The Nyquist Criterion for Discrete-Time LTI
Feedback Systems 856
11.5 Gain and Phase Margins 858
11.6 Summary 866
Problems 867
APPENDIX PARTIAL-FRACTION EXPANSION 909
BIBLIOGRAPHY 921
ANSWERS 931
INDEX 941
· · · · · · (收起)
1 SIGNALS AND SYSTEMS 1
1.0 Introduction 1
1.1 Continuous-Time and Discrete-Time Signals 1
1.1.1 Examples and Mathematical Representation 1
1.1.2 Signal Energy and Power 5
1.2 Transformations of the Independent Variable 7
1.2.1 Examples of Transformations of the Independent Variable 8
1.2.2 Periodic Signals 11
1.2.3 Even and Odd Signals 13
1.3 Exponential and Sinusoidal Signals 14
1.3.1 Continuous-Time Complex Exponential and Sinusoidal Signals 15
1.3.2 Discrete-Time Complex Exponential and Sinusoidal Signals 21
1.3.3 Periodicity Properties of Discrete-Time Complex Exponentials 25
1.4 The Unit Impulse and Unit Step Functions 30
1.4.1 The Discrete-Time Unit Impulse and Unit Step Sequences 30
1.4.2 The Continuous-Time Unit Step and Unit Impulse Functions 32
1.5 Continuous-Time and Discrete-Time Systems 38
1.5.1 Simple Examples of Systems 39
1.5.2 Interconnections of Systems 41
1.6 Basic System Properties 44
1.6.1 Systems with and without Memory 44
1.6.2 Invertibility and Inverse Systems 45
1.6.3 Causality 46
1.6.4 Stability 48
1.6.5 Time Invariance 50
1.6.6 Linearity 53
1.7 Summary 56
Problems 57
2 LINEAR TIME-INVARIANT SYSTEMS 74
2.0 Introduction 74
2.1 Discrete-Time LTI Systems: The Convolution Sum 75
2.1.1 The Representation of Discrete-Time Signals in Terms
of Impulses 75
2.1.2 The Discrete-Time Unit Impulse Response and the Convolution-Sum
Representation of LTI Systems 77
2.2 Continuous-Time LTI Systems: The Convolution Integral 90
2.2.1 The Representation of Continuous-Time Signals in Terms
of Impulses 90
2.2.2 The Continuous-Time Unit Impulse Response and the Convolution
Integral Representation of LTI Systems 94
2.3 Properties of Linear Time-invariant Systems 103
2.3.1 The Commutative Property 104
2.3.2 The Distributive Property 104
2.3.3 The Associative Property 107
2.3.4 LTI Systems with and without Memory 108
2.3.5 Invertibility of LTI Systems 109
2.3.6 Causality for LTI Systems 112
2.3.7 Stability for LTI Systems 113
2.3.8 The Unit Step Response of an LTI System 115
2.4 Causal LTI Systems Described by Differential and Difference
Equations 116
2.4.1 Linear Constant-Coefficient Differential Equations 117
2.4.2 Linear Constant-Coefficient Difference Equations 121
2.4.3 Block Diagram Representations of First-Order Systems Described
by Differential and Difference Equations 124
2.5 Singularity Functions 127
2.5.1 The Unit Impulse as an Idealized Short Pulse 128
2.5.2 Defining the Unit Impulse through Convolution 131
2.5.3 Unit Doublets and Other Singularity Functions 132
2.6 Summary 137
Problems 137
3 FOURIER SERIES REPRESENTATION OF PERIODIC SIGNALS 177
3.0 Introduction 177
3.1 A Historical Perspective 178
3.2 The Response of LTI Systems to Complex Exponentials 182
3.3 Fourier Series Representation of Continuous-Time
Periodic Signals 186
3.3.1 Linear Combinations of Harmonically Related Complex
Exponentials 186
3.3.2 Determination of the Fourier Series Representation
of a Continuous-Time Periodic Signal 190
3.4 Convergence of the Fourier Series 195
3.5 Properties of Continuous-Time Fourier Series 202
3.5.1 Linearity 202
3.5.2 Time Shifting 202
3.5.3 Time Reversal 203
3.5.4 Time Scaling 204
3.5.5 Multiplication 204
3.5.6 Conjugation and Conjugate Symmetry 204
3.5.7 Parseval＇s Relation for Continuous-Time Periodic Signals 205
3.5.8 Summary of Properties of the Continuous-Time Fourier Series 205
3.5.9 Examples 205
3.6 Fourier Series Representation of Discrete-Time
Periodic Signals 211
3.6.1 Linear Combinations of Harmonically Related Complex
Exponentials 211
3.6.2 Determination of the Fourier Series Representation of a
Periodic Signal 212
3.7 Properties of Discrete-Time Fourier Series 221
3.7.1 Multiplication 222
3.7.2 First Difference 222
3.7.3 Parseval＇s Relation for Discrete-Time Periodic Signals 223
3.7.4 Examples 223
3.8 Fourier Series and LTI Systems 226
3.9 Filtering 231
3.9.1 Frequency-Shaping Filters 232
3.9.2 Frequency-Selective Filters 236
3.10 Examples of Continuous-Time Filters Described by
Differential Equations 239
3.10.1 A Simple RC Lowpass Filter 239
3.10.2 A Simple RC Highpass Filter 241
3.11 Examples of Discrete-Time Filters Described by
Difference Equations 244
3.11.1 First-Order Recursive Discrete-Time Filters 244
3.11.2 Nonrecursive Discrete-Time Filters 245
3.12 Summary 249
Problems 250
4 THE CONTINUOUS-TIME FOURIER TRANSFORM 2,84
4.0 Introduction 284
4.1 Representation of Aperiodic Signals: The Continuous-Time
Fourier Transform 285
4.1.1 Development of the Fourier Transform Representation
of an Aperiodic.Signal 285
4.1.2 Convergence of Fourier Transforms 289
4.1.3 Examples of Continuous-Time Fourier Transforms 290
4.2 The Fourier Transform for Periodic Signals 296
4.3 Properties of the Continuous-Time Fourier Transform 300
4.3.1 Linearity 301
4.3.2 Time Shifting 301
4.3.3 Conjugation and Conjugate Symmetry 303
4.3.4 Differentiation and Integration 306
4.3.5 Time and Frequency Scaling 308
4.3.6 Duality 309
4.3.7 Parseval＇s Relation 312
4.4 The Convolution Property 314
4.4.1 Examples 317
4.5 The Multiplication Property 322
4.5.1 Frequency-Selective Filtering with Variable Center Frequenc) 325
4.6 Tables of Fourier Properties and of Basic Fourier
Transform Pairs 328
4.7 Systems Characterized by Linear Constant-Coefficient
Differential Equations 330
4.8 Summary 333
Problems 334
5 THE DISCRETE-TIME FOURIER TRANSFORM 358
5.0 Introduction 358
5.1 Representation of Aperiodic Signals: The Discrete-Time
Fourier Transform 359
5.1.1 Development of the Discrete-Time Fourier Transform 359
5.1.2 Examples of Discrete-Time Fourier Transforms 362
5.1.3 Convergence Issues Associated with the Discrete-Time Fourier
Transform 366
5.2 The Fourier Transform for Periodic Signals 367
5.3 Properties of the Discrete-Time Fourier Transform 372
5.3.1 Periodicity of the Discrete-Time Fourier Transform 373
5,3.2 Linearity of the Fourier Transform 373
5.3.3 Time Shifting and Frequency Shifting 373
5.3.4 Conjugation and Conjugate Symmetry 375
5.3.5 Differencing and Accumulation 375
5.3.6 Time Reversal 376
5.3.7 Time Expansion 377
5.3.8 Differentiation in Frequency 380
5.3.9 Parseval＇s Relation 380
5.4 The Convolution Property 382
5.4.1 Examples 383
5.5 The Multiplication Property 388
5.6 Tables of Fourier Transform Properties and Basic Fourier
Transform Pairs 390
5.7 Duality 390
5.7.1 Duality in the Discrete-Time Fourier Series 391
5.7.2 Duality between the Discrete-Time Fourier Transform ~md the
Continuous-Time Fourier Series 395
5.8 Systems Characterized by Linear Constant-Coefficient
Difference Equations 396
5.9 Summary 399
Problems 400
6 TIME AND FREQUENCY CHARACTERIZATION
OF SIGNALS AND SYSTEMS 423
6.0 Introduction 423
6.1 The Magnitude-Phase Representation of the Fourier
Transform 423
6.2 The Magnitude-Phase Representation of the Frequency Response
of LTI Systems 427
6.2.1 Linear and Nonlinear Phase 428
6.2.2 Group Delay 430
6.2.3 Log-Magnitude and Phase Plots 436
6.3 Time-Domain Properties of Ideal Frequency-Selective
Filters 439
6.4 Time-Domain and Frequency-Domain Aspects of Nonideal
Filters 444
6.5 First-Order and Second-Order Continuous-Time Systems 448
6.5.1 First-Order Continuous-Time Systems 448
6.5.2 Second-Order Continuous-Time Systems 451
6.5.3 Bode Plots for Rational Frequency Responses 456
6.6 First-Order and Second-Order Discrete-Time Systems 461
6.6.1 First-Order Discrete-Time Systems 461
6.6.2 Second-Order Discrete-Time Systems 465
6.7 Examples of Time- and Frequency-Domain Analysis
of Systems 472
6.7.1 Analysis of an Automobile Suspension System 473
6.7.2 Examples of Discrete-Time Nonrecursive Filters 476
6.8 Summary 482
Problems 483
7 SAMPLING 514
7.0 Introduction 514
7.1 Representation of a Continuous-Time Signal by Its Samples:
The Sampling Theorem 515
7.1.1 Impulse-Train Sampling 516
7.1.2 Sampling with a Zero-Order Hold 520
7.2 Reconstruction of a Signal from Its Samples Using
Interpolation 522
7.3 The Effect of Undersampling: Aliasing 527
7.4 Discrete-Time Processing of Continuous-Time Signals 534
7.4.1 Digital Differentiator 541
7.4.2 Half-Sample Delay 543
7.5 Sampling of Discrete-Time Signals 545
7.5.1 Impulse-Train Sampling 545
7.5.2 Discrete-Time Decimation and Interpolation 549
7.6 Summary 555
Problems 556
8 COMMUNICATION SYSTEMS 582
8.0 Introduction 582
8.1 Complex Exponential and Sinusoidal Amplitude Modulation 583
8.1.1 Amplitude Modulation with a Complex Exponential Car~ier 583
8.1.2 Amplitude Modulation with a Sinusoidal Carrier 585
8.2 Demodulation for Sinusoidal AM 587
8.2.1 Synchronous Demodulation 587
8.2.2 Asynchronous Demodulation 590
8.3 Frequency-Division Multiplexing 594
8.4 Single-Sideband Sinusoidal Amplitude Modulation 597
8.5 Amplitude Modulation with a Pulse-Train Carrier 601
8.5.1 Modulation of a Pulse-Train Carrier 601
8.5.2 Time-Division Multiplexing 604
8.6 Pulse-Amplitude Modulation 604
8.6.1 Pulse-Amplitude Modulated Signals 604
8.6.2 Intersymbol Interference in PAM Systems 607
8.6.3 Digital Pulse-Amplitude and Pulse-Code Modulation 610
8.7 Sinusoidal Frequency Modulation 611
8.7.1 Narrowband Frequency Modulation 613
8.7.2 Wideband Frequency Modulation 615
8.7.3 Periodic Square-Wave Modulating Signal 617
8.8 Discrete-Time Modulation 619
8.8.1 Discrete-Time Sinusoidal Amplitude Modulation 619
8.8.2 Discrete-Time Transmodulation 623
8.9 Summary＇ 623
Problems 625
9 THE LAPLACE TRANSFORM 654
9.0 Introduction 654
9.1 The Laplace Transform 655
9.2 The Region of Convergence for Laplace Transforms 662
9.3 The Inverse Laplace Transform 670
9.4 Geometric Evaluation of the Fourier Transform from the
Pole-Zero Plot 674
9.4.1 First-Order Systems 676
9.4.2 Second-Order Systems 677
9.4.3 AU-Pass Systems 681
9.5 Properties of the Laplace Transform 682
9.5.1 Linearity of the Laplace Transform 683
9.5.2 Time Shifting 684
9.5.3 Shifting in the s-Domain 685
9.5.4 Time Scaling 685
9.5.5 Conjugation 687
9.5.6 Convolution Property 687
9.5.7 Differentiation in the Time Domain 688
9.5.8 Differentiation in the s-Domain 688
9.5.9 Integration in the Time Domain 690
9.5.10 The Initial- and Final-Value Theorems 690
9.5.11 Table of Properties 691
9.6 Some Laplace Transform Pairs 692
9.7 Analysis and Characterization of LTI Systems Using the
Laplace Transform 693
9.7.1 Causality 693
9.7.2 Stability 695
9.7.3 LTI Systems Characterized by Linear Constant-Coefficient
Differential Equations 698
9.7.4 Examples Relating System Behavior to the System Function 701
9.7.5 Butterworth Filters 703
9.8 System Function Algebra and Block Diagram
Representations 706
9.8.1 System Functions for Interconnections of LTI Systems 707
9.8.2 Block Diagram Representations for Causal LTI Systems Described
by Differential Equations and Rational System Functions 708
9.9 The Unilateral Laplace Transform 714
9.9.1 Examples of Unilateral Laplace Transforms 714
9.9.2 Properties of the Unilateral Laplace Transform 716
9.9.3 Solving Differential Equations Using the Unilateral Laplace
Transform 719
9.10 Summary 720
Problems 721
10 THE Z-TRANSFORM 741
10.0 Introduction 741
10.1 The z-Transform 741
10.2 The Region of Convergence for the z-Transform 748
10.3 The Inverse z-Transform 757
10.4 Geometric Evaluation of the Fourier Transform from the
Pole-Zero Plot 763
10.4.1 First-Order Systems 763
10.4.2 Second-Order Systems 765
10.5 Properties of the z-Transform 767
1.0.5.1 Linearity 767
10.5.2 Time Shifting 767
10.5.3 Scaling in the z-Domain 768
10.5.4 Time Reversal 769
10.5.5 Time Expansion 769
10.5.6 Conjugation 770
10.5.7 The Convolution Property 770
10.5.8 Differentiation in the z-Domain 772
10.5.9 The Initial-Value Theorem 773
10.5.10 Summary of Properties 774
10.6 Some Common z-Transform Pairs 774
10.7 Analysis and Characterization of LTI Systems Using
z-Transforms 774
10.7.1 Causality 776
10.7.2 Stability 777
10.7.3 LTI Systems Characterized by Linear Constant-Coefficient
Difference Equations 779
10.7.4 Examples Relating System Behavior to the System Function 781
10.8 System Function Algebra and Block Diagram
Representations 783
10.8.1 System Functions for Interconnections of LTI Systems 784
10.8.2 Block Diagram Representations for Causal LTI Systems Described
by Difference Equations and Rational System Functions 784
10.9 The Unilateralz-Transform 789
10.9.1 Examples of Unilateral z-Transforms and Inverse Transforms 790
10.9.2 Properties of the Unilateral z-Transform 792
10.9.3 Solving Difference Equations Using the Unilateral
z-Transform 795
10.10 Summary 796
Problems 797
11 LINEAR FEEDBACK SYSTEMS 816
11.0 Introduction 816
11.1 Linear Feedback Systems 819
11.2 Some Applications and Consequences of Feedback 820
11.2.1 Inverse System Design 820
11.2.2 Compensation for Nonideal Elements 821
11.2.3 Stabilization of Unstable Systems 823
11.2.4 Sampled-Data Feedback Systems 826
11.2.5 Tracking Systems 828
11.2.6 Destabilization Caused by Feedback 830
11.3 Root-Locus Analysis of Linear Feedback Systems 832
11.3.1 An Introductory Example 833
11.3.2 Equation for the Closed-Loop Poles 834
11.3.3 The End Points of the Root Locus: The Closed-Loop Poles for
K = 0 and I|K|=+ 836
11.3.4 The Angle Criterion 836
11.3.5 Properties of the Root Locus 841
11.4 The Nyquist Stability Criterion 846
11.4.1 The Encirclement Property 847
11.4.2 The Nyquist Criterion for Continuous-Time LTI
Feedback Systems 850
11.4.3 The Nyquist Criterion for Discrete-Time LTI
Feedback Systems 856
11.5 Gain and Phase Margins 858
11.6 Summary 866
Problems 867
APPENDIX PARTIAL-FRACTION EXPANSION 909
BIBLIOGRAPHY 921
ANSWERS 931
INDEX 941
· · · · · · (收起)
读后感
评分
很好的一本书，学信号处理专业的人必须深入学习的一本书。。。。 主要讲的是信号的傅里叶分析，以及扩展到复数域上的Z与拉普拉斯分析；此外还有部分关于信号采样、调制与解调的内容。
评分这本书很久之前读的，我学的专业是图像处理，当时上学的时候并不知道信号对图像处理的作用有多大，其实把图像可以看作一个二维信号，这样就可以完全用信号处理的理论去处理图像。这本书是搞计算机图像视觉的必读经典。
评分这本是我任课老师写的 http://book.douban.com/subject/5998091/ 哪个学校的大家可能看出来了。虽然骂自己的老师不好， 但是，你自己做的事得认吧。 举个例子，里面有一段话想解释傅立叶级数为什么有负频率，他说科学研究总是领先于人类对自然的认知的，比如虚数实际也是不存在...
评分看的是中文版的 专业需要 买了一本 比上学时用的教材好多了，例子和讲解都很到位 虽然各方面讲的都不是很深，但起码能建立起信号与系统的基本概念，再需要哪方面的知识再去看专门的书籍。 需要学习的朋友强烈推荐
评分这本书很久之前读的，我学的专业是图像处理，当时上学的时候并不知道信号对图像处理的作用有多大，其实把图像可以看作一个二维信号，这样就可以完全用信号处理的理论去处理图像。这本书是搞计算机图像视觉的必读经典。
用户评价
评分
这本书的排版和字体选择，对于长时间阅读来说，简直是一种保护。我经常需要伏案苦读好几个小时，眼睛很容易疲劳，但这本书采用的经典衬线字体，在保持学术严谨性的同时，也极大地减轻了视觉压力。纸张的微哑光处理也避免了刺眼的反射光。更让我感到贴心的是，书本的装订非常结实，即使我需要将书本完全摊平以便对照复杂的变换表格，它也能稳稳地保持住，不会有书页松动的担忧。在章节的过渡处，作者常常会插入一些简洁的总结图表，这些图表如同清晰的路标，帮助我回顾刚刚学完的内容，并为即将到来的新挑战做好心理准备。可以说，这本书的物理属性和内容组织，共同营造了一个高效、舒适的学习环境。它不仅仅是一本工具书，更像是一位可以信赖的、永不疲倦的学术伙伴，陪伴我走过信号处理学习的漫长旅程。
评分这本书的深度和广度都超出了我的预期，它绝不仅仅是停留在基础概念的罗列上。我特别欣赏它在介绍各种系统分析方法时所展现出的那种严谨的学术态度和与时俱进的视野。比如，在讨论离散时间系统时，它对Z变换的讲解之详尽，几乎涵盖了所有重要的性质和应用场景，甚至连一些在实际工程中容易被忽略的收敛域问题，都被分析得滴水不漏。这种对细节的执着，体现了编者深厚的学术功底。更让我惊喜的是，书中穿插了大量来自不同工程领域的实际案例，这些案例并非简单的数值代入，而是深入剖析了信号处理在通信、控制乃至图像处理中的实际作用。我记得有一章专门讲了如何用卷积来分析滤波器响应，配上的图示清晰到可以直接在示波器上模拟出波形变化。这种理论与实践的无缝对接，极大地提升了我学习的动力，让我真切地感受到自己正在掌握的知识是如何改变世界的。
评分这本书的封面设计简直是一场视觉盛宴，那种深邃的蓝色调和充满科技感的字体排版，一下子就抓住了我的眼球。拿到书时，首先感受到的是它扎实的重量感，厚实的纸张和精良的印刷质量让人爱不释手。我原本以为这会是一本枯燥的教科书，但事实证明我的担忧完全是多余的。它的内容组织逻辑极其清晰，从基础概念的引入到复杂理论的推导，每一步都像是精心编排的乐章，层层递进，引人入胜。特别是那些理论推导部分，作者似乎深谙读者的思维习惯，总能用最简洁明了的语言勾勒出复杂的数学结构，让人在理解的同时，也能感受到一种智力上的满足感。翻开第一章，那些关于傅里叶变换的介绍，简直是化繁为简的典范，它不像其他一些教材那样堆砌公式，而是巧妙地结合了物理意义和工程应用，让抽象的概念瞬间变得具象化。我喜欢它在关键知识点上使用的不同字体和排版高亮，这就像一位耐心的老师在课堂上用不同语调强调重点，非常有助于记忆和理解。
评分阅读体验上，这本书简直是教科书中的一股清流。很多技术书籍的插图总是模糊不清，线条混乱，让人看了心生烦躁，但这本书的配图质量简直无可挑剔。每一个时域图、频域图，甚至是状态空间图，都绘制得精准有力，色彩搭配和谐又不失重点突出。更值得称赞的是，它在解释那些抽象概念时，所选用的类比和比喻非常贴切生活，让人仿佛能用触觉去感知那些无形的信号和系统。举个例子，它用自来水管道系统的水流特性来类比LTI系统的特性，这种接地气的解释方式，瞬间打通了我之前在理解因果性和稳定性时遇到的思维障碍。而且，书中的习题设计也极具匠心，它们并非那种机械重复的计算题，而是环环相扣，常常需要综合运用前几章的知识才能解出。完成这些挑战性的习题后，那种成就感是无可比拟的，比单纯的知识吸收更有效。
评分我是一个习惯在阅读中不断提问和质疑的读者，而这本书的结构恰好能满足我的求知欲。它在每节的末尾都设置了“深入探讨”或“历史背景”的小栏目，这部分内容虽然不是考试的重点，但却极大地丰富了我的知识体系。我了解到很多核心理论的诞生背景，比如维纳是如何提出采样定理的，以及巴特沃斯和切比雪夫滤波器设计的哲学差异。这种“知其然，更知其所以然”的阅读体验，让我对信号与系统这门学科产生了更深层次的敬畏和热爱。此外，书中对数学工具的引入也是循序渐进的，它不会一股脑地把读者推入高等数学的深渊，而是根据当前需要的工具，有针对性地复习或引入必要的数学知识，确保读者的学习节奏始终保持在一个舒适但又充满挑战的状态。这种对读者心智负荷的精确把控，显示了作者高超的教学艺术。
评分大二的专业课 鬼知道我们老师为什么用英文版 讲课还照ppt念 书很好 不过没怎么学懂
评分大二的专业课 鬼知道我们老师为什么用英文版 讲课还照ppt念 书很好 不过没怎么学懂
评分大二的专业课 鬼知道我们老师为什么用英文版 讲课还照ppt念 书很好 不过没怎么学懂
评分大二的专业课 鬼知道我们老师为什么用英文版 讲课还照ppt念 书很好 不过没怎么学懂
评分大二的专业课 鬼知道我们老师为什么用英文版 讲课还照ppt念 书很好 不过没怎么学懂
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