Skip to main content

Linear Systems, Filters and Convolution Theorems

  • Chapter
Fourier Techniques and Applications
  • 348 Accesses

Abstract

The purpose of this paper is to introduce the Fourier transform from the viewpoint of System Theory, to motivate some of the basic techniques associated with it, and to give the Fourier transform’s fundamental properties.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R. Bracewell, “The Fourier Transform,” McGraw Hill, London (1965).

    Google Scholar 

  2. H. Dym and H.P. McKean, “Fourier Series and Integrals,” Academic Press, New York (1972).

    Google Scholar 

  3. R.E. Edwards, “Fourier Series: A modern Introduction,” Volume 1, Second Edition, Springer-Verlag, Berlin (1979).

    Google Scholar 

  4. W. Feller, An Introduction to Probability Theory and Its Applications Volume 1 (Third Edition), 1968 and Volume 2 (Second Edition), 1971, John Wiley and Sons, New York.

    Google Scholar 

  5. T. Kailath, Linear Systems Prentice-Hall, Englewood Cliffs (1980).

    Google Scholar 

  6. D.E. Knuth, The Art of Computer Programming: Volume 1, Fundamental Algorithms, Second Edition, Addison-Wesley, Reading (1968).

    Google Scholar 

  7. A. Papoulis, The Fourier Integral and Its Applications McGraw-Hill, London (1962).

    Google Scholar 

  8. A. Papoulis, Signal Analysis, McGraw-Hill, London (1977).

    Google Scholar 

  9. M.R. Wohlers, “Lumped and Distributed Passive Networks. A Generalized and Advanced Viewpoint,” Academic Press, New York (1969).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1985 Plenum Press, New York

About this chapter

Cite this chapter

Sanders, J.W. (1985). Linear Systems, Filters and Convolution Theorems. In: Price, J.F. (eds) Fourier Techniques and Applications. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2525-3_2

Download citation

  • DOI: https://doi.org/10.1007/978-1-4613-2525-3_2

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-9525-9

  • Online ISBN: 978-1-4613-2525-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics