The z Transform

  • Leland B. Jackson


The z transform is to discrete-time systems what the Laplace transform is to continuous-time systems. For instance, the relationship between the input and output of a discrete-time system involves multiplication of the appropriate z transforms, rather than convolution as for the signals themselves. Poles and zeros can be defined from the z transform and have the same useful role and intuitive appeal as for continuous-time systems. And finally, the frequency response of the system is readily derived from the z transform and can be related to an appropriately defined Fourier transform.


Impulse Response Step Response Annular Ring Denominator Polynomial Exponential Sequence 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • Leland B. Jackson
    • 1
  1. 1.University of Rhode IslandUSA

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