本书是美国麻省理工学院的经典教材之一,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。

CONTENTS 目录 Chapter 1 Signals and Systems 信号与系统 1.0 Introduction 引言 1.1 Continuous-Time and Discrete-Time Signals 连续时间信号和离散时间信号 1.1.1 Examples and Mathematical Representation 举例与数学表示 1.1.2 Signal Energy and Power 信号能量与功率 1.2 Transformations of the Independent Variable 自变量的变换 1.2.1 Examples of Transformations of the Independent Variable 自变量变换举例 1.2.2 Periodic Signals 周期信号 1.2.3 Even and Odd Signals 偶信号与奇信号 1.3 Exponential and Sinusoidal Signals 指数信号与正弦信号 1.3.1 Continuous-Time Complex Exponential and Sinusoidal Signals 连续时间复指数信号与正弦信号 1.3.2 Discrete-Time Complex Exponential and Sinusoidal Signals 离散时间复指数信号与正弦信号 1.3.3 Periodicity Properties of Discrete-Time Complex Exponentials 离散时间复指数序列的周期性质 1.4 The Unit Impulse and Unit Step Functions 单位冲激函数与单位阶跃函数 1.4.1 The Discrete-Time Unit Impulse and Unit Step Sequences 离散时间单位脉冲序列和单位阶跃序列 1.4.2 The Continuous-Time Unit Step and Unit Impulse Functions 连续时间单位阶跃函数和单位冲激函数 1.5 Continuous-Time and Discrete-Time Systems 连续时间系统和离散时间系统 1.5.1 Simple Examples of Systems 简单系统举例 1.5.2 Interconnections of Systems 系统的互联 1.6 Basic System Properties 基本系统性质 1.6.1 Systems with and without Memory 有记忆系统与无记忆系统 1.6.2 Invertibility and Inverse Systems 可逆性与可逆系统 1.6.3 Causality 因果性 1.6.4 Stability 稳定性 1.6.5 Time Invariance 时不变性 1.6.6 Linearity 线性 1.7 Summary 小结 Problems 习题 Chapter 2 Linear Time-Invariant Systems 线性时不变系统 2.0 Introduction 引言 2.1 Discrete-Time LTI Systems: The Convolution Sum 离散时间线性时不变系统:卷积和 2.1.1 The Representation of Discrete-Time Signals in Terms of Impulses 用脉冲表示离散时间信号 2.1.2 The Discrete-Time Unit Impulse Response and the Convolution-Sum Representation of LTI Systems 离散时间线性时不变系统的单位脉冲响应及卷积和表示 2.2 Continuous-Time LTI Systems: The Convolution Integral 连续时间线性时不变系统:卷积积分 2.2.1 The Representation of Continuous-Time Signals in Terms of Impulses 用冲激表示连续时间信号 2.2.2 The Continuous-Time Unit Impulse Response and the Convolution Integral Representation of LTI Systems 连续时间线性时不变系统的单位冲激响应及卷积积分表示 2.3 Properties of Linear Time-Invariant Systems 线性时不变系统的性质 2.3.1 The Commutative Property 交换律性质 2.3.2 The Distributive Property 分配律性质 2.3.3 The Associative Property 结合律性质 2.3.4 LTI Systems with and without Memory 有记忆和无记忆线性时不变系统 2.3.5 Invertibility of LTI Systems 线性时不变系统的可逆性 2.3.6 Causality for LTI Systems 线性时不变系统的因果性 2.3.7 Stability for LTI Systems 线性时不变系统的稳定性 2.3.8 The Unit Step Response of an LTI System 线性时不变系统的单位阶跃响应 2.4 Causal LTI Systems Described by Differential and Difference Equations 用微分方程和差分方程描述的因果线性时不变系统 2.4.1 Linear Constant-Coefficient Differential Equations 线性常系数微分方程 2.4.2 Linear Constant-Coefficient Difference Equations 线性常系数差分方程 2.4.3 Block Diagram Representations of First-Order Systems Described by Differential and Difference Equations 用微分方程和差分方程描述的一阶系统的方框图表示 2.5 Singularity Functions 奇异函数 2.5.1 The Unit Impulse as an Idealized Short Pulse 作为理想化短脉冲的单位冲激 2.5.2 Defining the Unit Impulse through Convolution 通过卷积定义单位冲激 2.5.3 Unit Doublets and Other Singularity Functions 单位冲激偶和其他奇异函数 2.6 Summary 小结 Problems 习题 Chapter 3 Fourier Series Representation of Periodic Signals 周期信号的傅里叶级数表示 3.0 Introduction 引言 3.1 A Historical Perspective 历史回顾 3.2 The Response of LTI Systems to Complex Exponentials 线性时不变系统对复指数信号的响应 3.3 Fourier Series Representation of Continuous-Time Periodic Signals 连续时间周期信号的傅里叶级数表示 3.3.1 Linear Combinations of Harmonically Related Complex Exponentials 成谐波关系的复指数信号的线性组合 3.3.2 Determination of the Fourier Series Representation of a Continuous-Time Periodic Signal 连续时间周期信号傅里叶级数表示的确定 3.4 Convergence of the Fourier Series 傅里叶级数的收敛 3.5 Properties of Continuous-Time Fourier Series 连续时间傅里叶级数性质 3.5.1 Linearity 线性性质 3.5.2 Time Shifting 时移性质 3.5.3 Time Reversal 时间反转性质 3.5.4 Time Scaling 时域尺度变换性质 3.5.5 Multiplication 相乘性质 3.5.6 Conjugation and Conjugate Symmetry 共轭与共轭对称性质 3.5.7 Parseval’s Relation for Continuous-Time Periodic Signals 连续时间周期信号的帕塞瓦尔定理 3.5.8 Summary of Properties of the Continuous-Time Fourier Series 连续时间傅里叶级数性质列表 3.5.9 Examples 举例 3.6 Fourier Series Representation of Discrete-Time Periodic Signals 离散时间周期信号的傅里叶级数表示 3.6.1 Linear Combinations of Harmonically Related Complex Exponentials 成谐波关系的复指数信号的线性组合 3.6.2 Determination of the Fourier Series Representation of a Periodic Signal 周期信号傅里叶级数表示的确定 3.7 Properties of Discrete-Time Fourier Series 离散时间傅里叶级数性质 3.7.1 Multiplication 相乘性质 3.7.2 First Difference 一次差分性质 3.7.3 Parseval’s Relation for Discrete-Time Periodic Signals 离散时间周期信号的帕塞瓦尔定理 3.7.4 Examples 举例 3.8 Fourier Series and LTI Systems 傅里叶级数与线性时不变系统 3.9 Filtering 滤波 3.9.1 Frequency-Shaping Filters 频率成形滤波器 3.9.2 Frequency-Selective Filters 频率选择性滤波器 3.10 Examples of Continuous-Time Filters Described by Differential Equations 用微分方程描述的连续时间滤波器举例 3.10.1 A Simple RC Lowpass Filter 简单RC低通滤波器 3.10.2 A Simple RC Highpass Filter 简单RC高通滤波器 3.11 Examples of Discrete-Time Filters Described by Difference Equations 用差分方程描述的离散时间滤波器举例 3.11.1 First-Order Recursive Discrete-Time Filters 一阶递归离散时间滤波器 3.11.2 Nonrecursive Discrete-Time Filters 非递归离散时间滤波器 3.12 Summary 小结 Problems 习题 Chapter 4 The Continuous-Time Fourier Transform 连续时间傅里叶变换 4.0 Introduction 引言 4.1 Representation of Aperiodic Signals: The Continuous-Time Fourier Transform 非周期信号的表示:连续时间傅里叶变换 4.1.1 Development of the Fourier Transform Representation of an Aperiodic Signal 非周期信号傅里叶变换表示的导出 4.1.2 Convergence of Fourier Transforms 傅里叶变换的收敛 4.1.3 Examples of Continuous-Time Fourier Transforms 连续时间傅里叶变换举例 4.2 The Fourier Transform for Periodic Signals 周期信号的傅里叶变换 4.3 Properties of the Continuous-Time Fourier Transform 连续时间傅里叶变换性质 4.3.1 Linearity 线性性质 4.3.2 Time Shifting 时移性质 4.3.3 Conjugation and Conjugate Symmetry 共轭与共轭对称性质 4.3.4 Differentiation and Integration 微分与积分性质 4.3.5 Time and Frequency Scaling 时间与频率的尺度变换性质 4.3.6 Duality 对偶性质 4.3.7 Parseval’s Relation 帕塞瓦尔定理 4.4 The Convolution Property 卷积性质 4.4.1 Examples 举例 4.5 The Multiplication Property 相乘性质 4.5.1 Frequency-Selective Filtering with Variable Center Frequency 具有可变**频率的频率选择性滤波 4.6 Tables of Fourier Properties and of Basic Fourier Transform Pairs 傅里叶变换性质和基本傅里叶变换对列表 4.7 Systems Characterized by Linear Constant-Coefficient Differential Equations 由线性常系数微分方程表征的系统 4.8 Summary 小结 Problems 习题 Chapter 5 The Discrete-Time Fourier Transform 离散时间傅里叶变换 5.0 Introduction 引