一、主要内容 1。 Fourier 级数 2。收敛定理（Dirichlet充分条件）

4.1 Representation of Aperiodic Signals :The Continuous-Time Fourier Transform

• 离散时间信号的表示及运算； • 线性移不变系统的定义和性质； • 常系数线性差分方程； • 傅里叶级数(Fourier Series)、傅里叶变换(Fourier Transform)、连续时间信号的抽样定理

A.1 The Fourier transform The Fourier transform permits us to decompose a complicated field structure into elemental components. This can simplify the computation of fields and provide physical insight into their spatiotemporal behavior. In this section we review the properties of the transform and demonstrate its usefulness in solving field equations

14 Digital Signal Processing W.K. Jenkins, A. D. Poularikas, B. W. Bomar, L.M. Smith, J.A. Cadzow Fourier Transforms er Transforms and the Fast Fourier Transform. Design and Imple of Digital Filters.Signal Restoration

1 具紧支集的光滑函数 2 广义函数 3 缓增分布及 Fourier 变换 Fourier 变换 Schwarz 函数类 缓增分布

S14-2 Exponential Fourier series f(t)=+ cosot+a2 cos 2ot+.] sinot+ b2 sin

一、傅立叶变换 一离散时间傅立叶变换(Discrete-Time- Fourier Transform,DTFT)(定义、收敛条件、性质)离散傅立叶变换( Discrete Fourier Transform,DFT)(定义、性质) 二、Z变换(定义、收敛条件、逆变换、性质)

1.由例16.1.2的结果

1.设y(x)在[0,+∞)上连续且单调,limy(x)=0,证明