Skip to main content

Z-Transform

  • Chapter
  • First Online:
Signal Conditioning

Part of the book series: Signals and Communication Technology ((SCT))

  • 1752 Accesses

Abstract

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].

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 139.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Jury, E.I.: Theory and Application of the Z-Transform Method. Wiley, New York (1964)

    Google Scholar 

  2. Ragazzini, J.R., Franklin, G.F.: Sampled Data Control System. McGraw-Hill Book Company, New York (1958)

    Google Scholar 

  3. Oppenheim, A.V., Schafer, R.W.: Digital Signal Processing. Prentice Hall, New Jersey (1975)

    MATH  Google Scholar 

  4. Wang, R.: Initial and final value theorems. (2010-02-17). Retrieved 21 Oct 2011

    Google Scholar 

  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)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Apurba Das .

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Das, A. (2012). Z-Transform. In: Signal Conditioning. Signals and Communication Technology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28818-0_9

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-28818-0_9

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28274-4

  • Online ISBN: 978-3-642-28818-0

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics