目录 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
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