The z-Transform and Analysis of LTI Systems in the Transform Domain

  • K. Deergha Rao
  • M. N. S. Swamy


The DTFT may not exist for all sequences due to the convergence condition, whereas the z-transform exists for many sequences for which the DTFT does not exist. Also, the z-transform allows simple algebraic manipulations. As such, the z-transform has become a powerful tool in the analysis and design of digital systems. This chapter introduces the z-transform, its properties, the inverse z-transform, and methods for finding it. Also, in this chapter, the importance of the z-transform in the analysis of LTI systems is established.


  1. 1.
    R.V. Churchill, J.W. Brown, in Introduction to Complex Variables and Applications, 5th edn. (McGraw-Hill, New York, NY, 1990)Google Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  1. 1.Department of Electronics and Communication EngineeringVasavi College of Engineering (affiliated to Osmania University)HyderabadIndia
  2. 2.Department of Electrical and Computer EngineeringConcordia UniversityMontrealCanada

Personalised recommendations