• Apurba Das
Part of the Signals and Communication Technology book series (SCT)


Fourier and Laplace transform were proposed only for analyzing the continuous signal in frequency domain. But there was no transformation tool for analyzing signals in discrete time domain whereas there were necessity to analyze the discrete signals and their responses with different input signals. To meet the requirement, the Z-transform was introduced by the famous scientists Ragazzini and Zadeh in the sampled data control group at Columbia University in 1952 [1].


Causal Sequence Transformation Tool Discrete Time Domain Famous Scientist Finite Duration Impulse Response 
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  1. 1.
    Jury, E.I.: Theory and Application of the Z-Transform Method. Wiley, New York (1964)Google Scholar
  2. 2.
    Ragazzini, J.R., Franklin, G.F.: Sampled Data Control System. McGraw-Hill Book Company, New York (1958)Google Scholar
  3. 3.
    Oppenheim, A.V., Schafer, R.W.: Digital Signal Processing. Prentice Hall, New Jersey (1975)zbMATHGoogle Scholar
  4. 4.
    Wang, R.: Initial and final value theorems. (2010-02-17). Retrieved 21 Oct 2011Google Scholar
  5. 5.
    Shanks, J.L., Treitel, S., Justice, J.H.: Stability and synthesis of two dimensional recursive filters. IEEE Trans. Audio Electroacoust. AU-20(3), 115–128 (1972)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Image Processing Lab CDAC, KolkattaMinistry of Communication and ITKolkattaIndia
  2. 2.Imaging Tech Lab, Engineering and R&DHCL Technologies Ltd.ChennaiIndia

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