Introduction
z-transform of a sequence. We then obtain the z-transform of some important sequences and discuss useful properties of the transform.
Most of the results obtained are tabulated at the end of the Section.
The z-transform is the major mathematical tool for analysis in such areas as digital control and digital signal processing.
Prerequisites
- understand sigma ( ) notation for summations
- be familiar with geometric series and the binomial theorem
- have studied basic complex number theory including complex exponentials
Learning Outcomes
- define the z-transform of a sequence
- obtain the z-transform of simple sequences from the definition or from basic properties of the z-transform