引子——人类认识电的历史

第1章  线性电路分析基础Introduction & Basic Analysis of Linear Circuit

  1.1 线性电路基本概述/Basic Introduction to Linear Circuit

    1.1.1 基本单位/Units and Scales

    1.1.2 集总假设及集总电路模型/Lumped-Parameter Circuit

    1.1.3 基本参数、变量和参考方向/Basic Components、Parameters and Reference Direction

    1.1.4 基本定律/Basic Laws

  1.2 常见电路元件模型及其约束方程/Elements and Element Constraints

    1.2.1 元件的分类/Kinds of Conponents

    1.2.2 电阻元件/Resistor

    1.2.3 理想独立电压源与理想独立电流源/Independent Sources

    1.2.4 电容元件/Capacitor

    1.2.5 电感元件/Inductor

    1.2.6 理想受控源/Controlled Source or Dependent Source

  1.3 典型源信号和响应信号/Basic Signals and Functions

  1.4 线性二端(单口)网络的等效/Equivalence of One-Port Network

    1.4.1 等效的定义/Definition of Equivalence

    1.4.2 电阻电路的等效/Equivalence of Resistive Circuits

    1.4.3 具有初始储能(初始值)的动态元件的等效/Equivalence of Dynamic Connections

    1.4.4 源电路的等效/Equivalence of Sources

  总结与回顾Summary and Review

  练习与习题Exercises and Problems

第2章  线性电路的时域分析Basic Analysis of Linear Circuit in Time domain

  2.1 动态电路的暂态过程和起始状态/Introduction of Transient Analysis

    2.1.1 静态电路与动态电路/Static and Dynamic Circuit

    2.1.2 静态电路分析/Resistive Circuit

    2.1.3 动态电路的换路、起始状态和暂态过程/Switch and Initial State

  2.2 一阶动态电路分析/Analysis of First-Order Circuit

    2.2.1 RL或RC电路分析/RL or RC Circuit

  2.3 动态电路的零状态响应/Zero State Response

    2.3.1 复指数信号及正弦信号激励的零状态响应/Sinusoidal Excitation

    2.3.2 单位阶跃响应s(t)和单位冲激响应h(t)/Unit-Step Response and Unit Impulse Response

    2.3.3 任意信号激励的零状态响应/Arbitrary Excitation

  2.4 二阶及高阶动态电路分析/Second-Order Circuits and High-Order Circuits

    2.4.1 响应的求解/Functions and Solutions

    2.4.2 电路的稳定性分析/Stability Analysis

  总结与回顾Summary and Review

  附录A 一元 n次常参量微分方程的求解/Solution of Linear Differential Equations

  A.1 一阶线性常参量微分方程的求解/First Order

  A.2 n阶微分方程的求解/n Order

  练习与习题Exercises and Problems

第3章  正弦稳态电路分析Sinusoidal Steady-State Analysis

  3.1 正弦稳态电路分析/Sinusoidal Steady-State Analysis

    3.1.1 正弦信号的复数表示——相量/Phasors

    3.1.2 电路中的复数表示——相量模型/Phasor Model in Circuit

    3.1.3 正弦稳态电路分析/Sinusoidal Steady-State Analysis

  3.2 正弦稳态功率/Powers

  3.3 网络函数与频率响应/Network Functions and Frequency Responses

  3.4 滤波器/Filter

    3.4.1 一阶滤波器/First-Order Filter(Low-Pass,High-Pass)

    3.4.2 二阶滤波器/Second-Order Filter(Band Pass,Bandstop)

  总结与回顾Summary and Review

  练习与习题Exercises and Problems

第4章  电路的变换域分析——拉普拉斯变换Laplace Transform

  4.1 拉普拉斯变换/Laplace Transform

    4.1.1 变换域分析/Transform Analysis

    4.1.2 拉氏变换定义/Definition of the Laplace Transform

    4.1.3 拉氏变换的基本性质/Basic Theorems for the Laplace Transform

    4.1.4 拉氏反变换——分解定理/Inverse Laplace Transform

  4.2 线性电路的s域求解/Circuit Analysis in the s-Domain

    4.2.1 元件的s-域模型/Components in the s-Domain

    4.2.2 定律的s域形式/Laws in the s-Domain

    4.2.3 线性电路的s域求解/Circuit Analysis in the s-Domain

  4.3 网络函数的s域描述/Network Function in the s-Domain

    4.3.1 定义/Definition

    4.3.2 网络函数的特性/Characteristic Analysis

  总结与回顾Summary and Review

  练习与习题Exercises and Problems

第5章  信号的变换域分析——傅里叶变换Fourier Analysis

  5.1 傅里叶级数/The Fourier Series

    5.1.1 周期信号的傅氏级数表示/Three Forms of the Fouries Series

    5.1.2 周期信号的对称性与傅氏级数之间的关系/Symmetry of Fourier Series

    5.1.3 常见周期信号的傅氏级数/Some Useful Fourier Series

    5.1.4 周期信号的平均功率和有效值/Average Power and Effective Values of Periodic Functions

    5.1.5 周期信号作用于线性电路的稳态响应/Steady-State Responses

  5.2 傅氏变换：非周期信号的频谱分析/Fourier Transform

    5.2.1 从傅氏级数到傅氏变换/From Fourier Series to Transform

    5.2.2 傅里叶变换与反变换/Some Useful Fourier Transform Pairs

    5.2.3 傅氏变换的基本性质与定理/Basic Theorems of the Fouries Transform

    5.2.4 傅氏变换与拉氏变换/Fouries Transform and Laplace Transform

  5.3 信号通过常参量线性电路/Signal Forcing in Linear Circuits

    5.3.1 信号通过电路的波形失真/Wave Distortion

    5.3.2 电路的因果律与理想滤波器/Causal Circuit and Ideal Filter

  *5.4 采样定理/Sampling Theorem

  总结与回顾Summary and Review

  练习与习题Exercises and Problems

第6章  网络的拓扑分析Network Topology Analysis——Mesh and Nodal Analysis

  6.1 支路电流法 / Branch Current Analysis

  6.2 网络拓扑分析的基本知识/An Introduction to Network Top