Mathematics for Circuits and Filters

5 z-Transform

Jelena Kovačević

AT&T Bell Laboratories

DOI: 10.1201/9781315214023-5

• 5.1 Introduction
• 5.2 Definition of the z- Transform
• 5.3 Inverse z- Transform
• Contour Integration
• Partial Fraction Expansion
• Other Methods for Obtaining the Inverse z-Transform
• 5.4 Properties of the z-Transform
• Region of Convergence
• Properties of the Transform
• 5.5 Role of the z-Transform in Linear Time-Invariant Systems
• 5.6 Variations on the z-Transform
• Multidimensional z- Transform
• Modified z-Transform
• Chirp z-Transform Algorithm
• 5.7 Concluding Remarks
• Acknowledgment
• References

5.1 Introduction

When analyzing linear systems, one of the problems we often encounter is that of solving linear, constant-coefficient differential equations. A tool ...