信号与系统教学课件：9-1 Properties of Laplace transform

1、Chapter 9 The Laplace transform,Signals and Systems,9.1 Properties of Laplace transform 9.2 Examples of Laplace transform 9.3 Design for LTI systems 9.4 Response of LTI systems,Definition of Laplace transform,Transform pair,9.1 Properties of Laplace transform,Compare with Fourier transform,Simplify,

2、Included,9.1 Properties of Laplace transform,Basic transform pairs,9.1 Properties of Laplace transform,Shifting,Linearity,9.1 Properties of Laplace transform,Operation Properties,Reversal,Scaling,9.1 Properties of Laplace transform,Operation Properties,Convolution,Differentiation,9.1 Properties of L

3、aplace transform,Operation Properties,The initial- and final-value theorems,9.1 Properties of Laplace transform,Operation Properties,FT,LT,9.1 Properties of Laplace transform,Convergence condition,LT: limit for signal and region of variable s,FT: limit for signal only,The boundary of ROC must be ver

4、tical lines,The region of convergence (ROC,9.1 Properties of Laplace transform,Poles and zeros,zero,pole,Pole-zero plot,9.1 Properties of Laplace transform,In s-plane , ROC is divided by poles,Any poles can not be in ROC,Three possible ROCs,9.1 Properties of Laplace transform,The relation of ROC with the region of time signal,two sided,left sided,right sided,finite duration,strip,left