Outline for this Module Overview of Integral Equation Methods Important for many exterior problems (Fluids, Electromagnetics, Acoustics) Quadrature and cubature for computing integrals One and Two dimensional basics Dealing with Singularities

Outline Laplace Problems Exterior Radiation Condition Green's function Ansatz or Indirect Approach Single and Double Layer Potentials First and Second Kind Equations Greens Theorem Approach First and Second Kind Equations

1 Outline for this Module Slide 1 Overview of Integral Equation Methods Important for many exterior problems (Fluids, Electromagnetics, Acoustics) Quadrature and Cubature for computing integrals One and Two dimensional basics Dealing with Singularities 1st and 2nd Kind Integral Equations

Formulations Model problem Strong Formulation Find u such that Vu=f in n2 a =0 on I for a polygonal domain

Laplace Problems Exterior Radiation Condition Green’s function Ansatz or Indirect Approach Single and Double Layer Potentials First and Second Kind Equations Greens Theorem Approach First and Second Kind Equations

6.1 引言 6.2 连续小波变换 6.3 离散小波变换 6.4 小波分析的应用

5.1 引言 5.2 短时傅里叶变换 5.3 维格纳变换(WD) 5.4 时域离散信号的维格纳变换 5.5 时频分布的统一表示式 5.6 时频分析在编队目标架次检测中的应用

2.1 引言 2.2 维纳滤波器的离散形式——时域解 2.3 离散维纳滤波器的z域解 2.4 维纳预测 2.5 卡尔曼(Kalman)滤波

6.1 Z变换 6.2 Z反变换 6.3 Z变换的性质 6.4 Z变换与拉氏变换的关系 6.5 离散系统的Z域分析 6.6 离散系统函数与系统特性 6.7 离散信号与系统的频域分析 6.8 数字滤波器的一般概念

3.1 离散傅里叶变换的定义 3.2 离散傅里叶变换的基本性质 3.3 频率域采样 3.4 DFT的应用举例