信号、系统及推理(英文版)

作者
(美)Alan V. Oppenheim(艾伦 V. 奥本海姆), George C. Verghese(乔治 C. 维盖瑟)
丛书名
国外电子与通信教材系列
出版社
电子工业出版社
ISBN
9787121391682
简要
简介
内容简介书籍通信书籍 本书是美国麻省理工学院(MIT)知名教授奥本海姆的近年力作,是其在MIT开展了二十余年的Signals, Systems and Inference课程所涉及知识体系的拓展和延伸。本书详细阐述了确定性信号与系统的性质和表示形式,包括群延迟和状态空间模型的结构与行为;引入了相关函数和功率谱密度来描述和处理随机信号。本书涉及的应用实例包括脉冲幅度调制,基于观测器的反馈控制,最小均方误差估计下的最佳线性滤波器,以及匹配滤波器;强调了基于模型的推理方法,特别是针对状态估计、信号估计和信号检测的应用。本书融合并扩展了信号与系统时频域分析的基本素材和概率论知识,这些都是信号处理、控制、通信、金融工程、生物医学工程等工程和应用科学领域的基本分析方法。
目录


Prologue
开场白\t23
第1章Signals and Systems 信号与系统\t31
1.1Signals, Systems, Models, and Properties
信号、系统、模型及性质\t31
1.1.1System Properties
系统的性质\t33
1.2Linear,Time-Invariant Systems
线性时不变系统\t35
1.2.1Impulse-Response Representation of LTI Systems
LTI系统的冲激响应表示\t35
1.2.2Eigenfunction and Transform Representation of LTI Systems
LTI系统的特征函数和变换表示\t36
1.2.3Fourier Transforms
傅里叶变换\t40
1.3Deterministic Signals and Their Fourier Transforms
确定性信号及其傅里叶变换\t41
1.3.1Signal Classes and Their Fourier Transforms
信号种类及其傅里叶变换\t41
1.3.2Parseval’s Identity, Energy Spectral Density, and Deterministic Autocorrelation
Parseval恒等式、能量谱密度以及确定性自相关\t44
1.4Bilateral Laplace and z-Transforms
双边z变换和双边拉普拉斯变换\t46
1.4.1The Bilateral z-Transform
双边z变换\t46
1.4.2The Bilateral Laplace Transform
双边拉普拉斯变换\t50
1.5Discrete-Time Processing of Continuous-Time Signals
连续时间信号的离散时间处理\t51
1.5.1Basic Structure for DT Processing of CT Signals
连续时间信号的离散时间处理过程的基本结构\t52
1.5.2DT Filtering and Overall CT Response
离散时间滤波以及全局连续时间响应\t54
1.5.3Nonideal D/C Converters
非理想的D/C转换器\t56
1.6Further Reading
延伸阅读\t58
Problems
习题\t59

第2章Amplitude, Phase, and Group Delay
幅度、相位和群延迟\t92
2.1Fourier Transform Magnitude and Phase
傅里叶变换的幅度和相位\t92
2.2Group Delay and the Effect of Nonlinear Phase
群延迟和非线性相位的影响\t96
2.2.1Narrowband Input Signals
窄带输入信号\t96
2.2.2Broadband Input Signals
宽带输入信号\t98
2.3All-Pass and Minimum-Phase Systems
全通系统与最小相位系统\t103
2.3.1All-Pass Systems
全通系统\t103
2.3.2Minimum-Phase Systems
最小相位系统\t105
2.4Spectral Factorization
谱因式分解\t108
2.5Further Reading
延伸阅读\t110
Problems
习题\t110

第3章Pulse Amplitude Modulation
脉冲幅度调制\t132
3.1Baseband Pulse Amplitude Modulation
基带脉冲幅度调制\t133
3.1.1The Transmitted Signal
发送信号\t133
3.1.2The Received Signal
接收信号\t135
3.1.3Frequency-Domain Characterizations
频域特性\t135
3.1.4Intersymbol Interference at the Receiver
接收机处的码间干扰\t138
3.2Nyquist Pulses
奈奎斯特脉冲\t140
3.3Passband Pulse Amplitude Modulation
通带脉冲幅度调制\t143
3.3.1Frequency-Shift Keying (FSK)
频移键控\t144
3.3.2Phase-Shift Keying (PSK)
相移键控\t144
3.3.3Quadrature Amplitude Modulation (QAM)
正交幅度调制\t146
3.4Further Reading
延伸阅读\t148
Problems
习题\t149

第4章State-Space Models
状态空间模型\t163
4.1System Memory
系统记忆性\t163
4.2Illustrative Examples
举例说明\t164
4.3State-Space Models
状态空间模型\t176
4.3.1DT State-Space Models
离散时间状态空间模型\t176
4.3.2CT State-Space Models
连续时间状态空间模型\t179
4.3.3Defining Properties of State-Space Models
状态空间模型的典型性质\t181
4.4State-Space Models from LTI Input-Output Models
基于LTI输入输出模型的状态空间模型\t183
4.5Equilibria and Linearization of Nonlinear State-Space Models
非线性状态空间模型的平衡状态和线性化\t188
4.5.1Equilibrium
平衡状态\t188
4.5.2Linearization
线性化\t191
4.6Further Reading
延伸阅读\t194
Problems
习题\t195

第5章LTI State-Space Models
LTI状态空间模型\t204
5.1Continuous-Time and Discrete-Time LTI Models
连续时间和离散时间LTI模型\t204
5.2Zero-Input Response and Modal Representation
零输入响应和模态表示\t207
5.2.1Undriven CT Systems
未驱动的连续时间系统\t207
5.2.2Undriven DT Systems
未驱动的离散时间系统\t215
5.2.3Asymptotic Stability of LTI Systems
LTI系统的渐进稳定性\t217
5.3General Response in Modal Coordinates
模态坐标下的通用响应\t221
5.3.1Driven CT Systems
被驱动的连续时间系统\t221
5.3.2Driven DT Systems
被驱动的离散时间系统\t224
5.3.3Similarity Transformations and Diagonalization
相似变换和对角化\t226
5.4Transfer Functions, Hidden Modes, Reachability, and Observability
传输函数、隐藏模式、可达性和可观测性\t232
5.4.1Input-State-Output Structure of CT Systems
连续时间系统的输入状态输出结构\t232
5.4.2Input-State-Output Structure of DT Systems
离散时间系统的输入状态输出结构\t240
5.5Further Reading
延伸阅读\t249
Problems
习题\t250

第6章State Observers and State Feedback
状态观测器和状态反馈\t266
6.1Plant and Model
设备和模型\t267
6.2State Estimation and Observers
状态估计和观测器\t269
6.2.1Real-Time Simulation
实时仿真\t269
6.2.2The State Observer
状态观测器\t271
6.2.3Observer Design
观测器设计\t273
6.3State Feedback Control
状态反馈控制\t282
6.3.1Open-Loop Control
开环控制\t282
6.3.2Closed-Loop Control via LTI State Feedback
经由LTI状态反馈的闭环控制\t283
6.3.3LTI State Feedback Design
LTI状态反馈设计\t284
6.4Observer-Based Feedback Control
基于观测器的反馈控制\t292
6.5Further Reading
延伸阅读\t297
Problems
习题\t297

第7章Probabilistic Models
概率模型\t309
7.1The Basic Probability Model
基本概率模型\t309
7.2Conditional Probability, Bayes’ Rule, and Independence
条件概率、贝叶斯法则和事件的独立性\t310
7.3Random Variables
随机变量\t313
7.4Probability Distributions
概率分布\t313
7.5Jointly Distributed Random Variables
联合分布的随机变量\t315
7.6Expectations, Moments, and Variance
期望、矩和方差\t317
7.7Correlation and Covariance for Bivariate Random Variables
二元随机变量的相关性和协方差\t320
7.8A Vector-Space Interpretation of Correlation Properties
向量空间中的相关性质\t324
7.9Further Reading
延伸阅读\t326
Problems
习题\t327

第8章Estimation
估计算法\t336
8.1Estimation of a Continuous Random Variable
单个连续随机变量的估计\t337
8.2From Estimates to the Estimator
从估计到估计器\t342
8.2.1Orthogonality
正交性\t347
8.3Linear Minimum Mean Square Error Estimation
线性最小均方误差估计\t348
8.3.1Linear Estimation of One Random Variable from a Single Measurement of Another
从一个随机变量的单次量测中线性估计另一个随机变量\t348
8.3.2Multiple Measurements
多重量测\t353
8.4Further Reading
延伸阅读\t357
Problems
习题\t358

第9章Hypothesis Testing
假设检验\t373
9.1Binary Pulse-Amplitude Modulation in Noise
噪声中的二进制脉冲幅度调制\t373
9.2Hypothesis Testing with Minimum Error Probability
最小差错概率下的假设检验\t375
9.2.1Deciding with Minimum Conditional Probability of Error
最小条件差错概率的判决\t376
9.2.2MAP Decision Rule for Minimum Overall Probability of Error
最小化总体差错概率的MAP判决准则\t377
9.2.3Hypothesis Testing in Coded Digital Communication
编码数字通信中的假设检验\t380
9.3Binary Hypothesis Testing
二元假设检验\t383
9.3.1False Alarm, Miss, and Detection
虚警、漏警和检测\t384
9.3.2The Likelihood Ratio Test
似然比检验\t386
9.3.3Neyman-Pearson Decision Rule and Receiver Operating Characteristic
纽曼-皮尔逊判决准则和接收者操作特性\t387
9.4Minimum Risk Decisions
最小风险判决\t391
9.5Further Reading
延伸阅读\t393
Problems
习题\t393

第10章Random Processes
随机过程\t410
10.1Definition and Examples of a Random Process
随机过程的定义和举例\t410
10.2First-and Second-Moment Characterization of Random Processes
随机过程的一阶矩和二阶矩特性\t415
10.3Stationarity
平稳性\t416
10.3.1Strict-Sense Stationarity
严格平稳性\t416
10.3.2Wide-Sense Stationarity
广义平稳性\t416
10.3.3Some Properties of WSS Correlation and Covariance Functions
WSS相关函数和协方差函数的性质\t418
10.4Ergodicity
各态历经性\t421
10.5Linear Estimation of Random Processes
随机过程的线性估计\t422
10.5.1Linear Prediction
线性预测\t422
10.5.2Linear FIR Filtering
线性FIR滤波\t424
10.6LTI Filtering of WSS Processes
WSS过程的LTI滤波\t425
10.7Further Reading
延伸阅读\t431
Problems
习题\t431

第11章Power Spectral Density
功率谱密度\t451
11.1Spectral Distribution of Expected Instantaneous Power
瞬时功率期望的频谱分布\t452
11.1.1Power Spectral Density
功率谱密度\t452
11.1.2Fluctuation Spectral Density
波动谱密度\t456
11.1.3Cross-Spectral Density
互谱密度\t461
11.2Expected Time-Averaged Power Spectrum and the Einstein-Wiener-Khinchin Theorem
时间平均的功率谱期望和爱因斯坦-维纳-辛钦理论\t462
11.3Applications
应用\t467
11.3.1Revealing Cyclic Components
揭示循环分量\t467
11.3.2Modeling Filters
模型滤波器\t469
11.3.3Whitening Filters
白化滤波器\t473
11.3.4Sampling Bandlimited Random Processes
带限随机过程的采样\t474
11.4Further Reading
延伸阅读\t474
Problems
习题\t475

第12章Signal Estimation
信号估计\t494
12.1LMMSE Estimation for Random Variables
随机变量的LMMSE估计\t495

12.2FIR Wiener Filters
FIR维纳滤波器\t497
12.3The Unconstrained DT Wiener Filter
无约束的离散时间维纳滤波器\t502
12.4Causal DT Wiener Filtering
离散时间的因果维纳滤波\t510
12.5Optimal Observers and Kalman Filtering
最佳观测器和卡尔曼滤波\t517
12.5.1Causal Wiener Filtering of a Signal Corrupted by Additive Noise
受加性噪声干扰的信号的因果维纳滤波\t517
12.5.2Observer Implementation of the Wiener Filter
维纳滤波器的观测器实现\t519
12.5.3Optimal State Estimates and Kalman Filtering
最佳状态估计和卡尔曼滤波\t521
12.6Estimation of CT Signals
连续时间信号的估计\t522
12.7Further Reading
延伸阅读\t523
Problems
习题\t523

第13章Signal Detection
信号检测\t541
13.1Hypothesis Testing with Multiple Measurements
基于多重量测的假设检验\t542
13.2Detecting a Known Signal in I.I.D. Gaussian Noise
独立同分布高斯噪声中已知信号的检测\t544
13.2.1The Optimal Solution
最佳检测方案\t545
13.2.2Characterizing Performance
性能描述\t547
13.2.3Matched Filtering
匹配滤波\t549
13.3Extensions of Matched-Filter Detection
匹配滤波器检测的推广\t552
13.3.1Infinite-Duration, Finite-Energy Signals
无限长度的有限能量信号\t552
13.3.2Maximizing SNR for Signal Detection in White Noise
白噪声中信号检测的SNR最大化\t552
13.3.3Detection in Colored Noise
有色噪声中的检测\t555
13.3.4Continuous-Time Matched Filters
连续时间匹配滤波器\t558
13.3.5Matched Filtering and Nyquist Pulse Design
匹配滤波和奈奎斯特脉冲设计\t559
13.3.6Unknown Arrival Time and Pulse Compression
未知的到达时间和脉冲压缩\t560
13.4Signal Discrimination in I.I.D. Gaussian Noise
独立同分布高斯噪声中的信号识别\t562
13.5Further Reading
延伸阅读\t568
Problems
习题\t568

Bibliography
参考文献\t585
Index
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