Lecture 21 Chapter 7: Introduction to z-Transforms Spring, 2009

Today's lecture Introduction to Z-Transforms n- Domain and z- Domain Definition of z-Transform

Transform Concepts Sedtion H,j

Introduction to Z-Transform

Two ( no, Three ) Domains Section G

Definition of the z-Transform x[n] = ∑ x[k] δ[n- k] X[z] = ∑ x[k] z -k X[z] = ∑ x[k] (z -1)k x[n]  X[z] N K=0 N K=0 N K=0 z

“Transform” Example

Z-Transform Idea

Z-Transform Definition

Z-Transform Example

Z-Transform of FIR Filter

Z-Transform of FIR Filter

Example Delay System