1、Chapter 10 The z-transform,Definition and properties Signal transform System expression System response,Transform pair,Definition,10.1 The Definition and basic transform pairs,Relation between z-transform and Laplace transform,Relation between z-transform and Laplace transform,axis,Unit circle,Basic
2、 transform pairs,when,Basic transform pairs,when,Basic transform pairs,when,10.2 The region of convergence (ROC),Each z-transform must be linked with a region of convergence (ROC) and only valid in its ROC !,The expression of ROC,The region of convergence may be expressed as follows :,For a given ,
3、there is only one ROC !,There is no poles in ROC !,Three possible ROCs !,The relation between poles and ROC,Pole-zero plot,The relation of ROC with the region of time signal,two sided,left sided,right sided,finite duration,ring,inside,outside,entire plane,10.3 Properties of the z-transform,Time shifting,Linearity,compare,Properties of the z-transform,Scaling in z-domain,compare,Properties of the z-transform,Time reversal,Convolution,compare,Properties of the z-transform,Differentiation in z-domain,compare,