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 


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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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