Skip to main content
SpringerLink
Log in

The Fourier Transform and Related Concepts: A First Look

  • Chapter
Transform Techniques in Chemistry

Part of the book series: Modern Analytical Chemistry ((MOAC))

Abstract

The Fourier Transform is one of the most common transformations occurring in nature. Certain features associated with this transform are found used by man in a variety of occupations and applications. For example, Fourier transforms are used in encephalography, X-ray crystallography, radar, network design, and chemical Fourier transform spectroscopy in both nuclear magnetic resonance and infrared analysis. One example of a physical Fourier transform is far-field or Fraunhofer diffraction; this optical phenomenon occurs with narrow slits in dispersive spectroscopy.

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

Access this chapter

Log in via an institution
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 PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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. A. Papoulis, The Fourier Integral and Its Applications, McGraw-Hill, New York, 1962.

    Google Scholar 

  2. R. Bracewell, The Fourier Transform and Its Applications, McGraw-Hill, New York, 1965.

    Google Scholar 

  3. L. Mertz, Transformations in Optics, John Wiley & Sons, New York, 1965.

    Google Scholar 

  4. P. R. Griffiths, C. T. Foskett, and R. Curbelo, Appi Spectroscopy Reviews 6, 31 (1972).

    Article  CAS  Google Scholar 

  5. R. Norton and R. Beer, J. Opt. Soc. Am. 66, 3 (1976).

    Article  Google Scholar 

  6. H. J. Landau, H. O. Pollack, and D. Slepian, Bell Syst. Tech. J. 40, 1, 43-64 (1961); 40, 1, 65-84 (1961); 41, 4, 1295 - 1336 (1962).

    Google Scholar 

  7. B. Gold and C. Rader, Digital Processing of Signals, McGraw-Hill, New York, 1969.

    Google Scholar 

  8. A. Oppenheim and R. Schäfer, Digital Signal Processing, Prentice-Hall, Englewood Cliffs, New Jersey, 1975.

    Google Scholar 

  9. J. Walsh, Proc. Symp. Workshop Applications of Walsh Functions 1970, vii, 1970 (AD- 707-431).

    Google Scholar 

  10. H. Harmuth, Transmission of Information by Orthogonal Functions, Springer-Verlag, New York, 1970.

    Google Scholar 

  11. J. Decker, Proc. Applications of Walsh Functions, p. 101, 1973 (AD-763-000).

    Google Scholar 

  12. M. Harwit, Proc. Applications of Walsh Functions, p. 108, 1973 (AD-763-000).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Digilab, Inc., 237 Putnam Avenue, Cambridge, Massachusetts, 0213, USA

    Charles T. Foskett

Authors
  1. Charles T. Foskett
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Ohio University, Athens, Greece

    Peter R. Griffiths

Rights and permissions

Reprints and permissions

Copyright information

© 1978 Plenum Press, New York

About this chapter

Cite this chapter

Foskett, C.T. (1978). The Fourier Transform and Related Concepts: A First Look. In: Griffiths, P.R. (eds) Transform Techniques in Chemistry. Modern Analytical Chemistry. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-2403-4_2

Download citation

  • DOI: https://doi.org/10.1007/978-1-4684-2403-4_2

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-2405-8

  • Online ISBN: 978-1-4684-2403-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation