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Application V — Computation Evaluation of Frequency Spectra by Digital Methods

  • John D. Robson
  • Colin J. Dodds
  • Donald B. Macvean
  • Vincent R. Paling
Part of the International Centre for Mechanical Sciences book series (CISM, volume 115)

Abstract

The aim of this chapter is to present a simplified account of the two most common methods of digital spectral analysis. It is of necessity short and omits a great deal of important detail, but a comprehensive bibliography is given which will cover all aspects of the computational techniques.

Keywords

Correlation Function Fast Fourier Transform Discrete Fourier Transform Fast Fourier Transform Algorithm Digital Method 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Bibliography for Chapter 16

  1. [1]
    Blackman R.B. and Tukney J.W.: The Measurement of Power Spectra from the Point of View of Communication Engineering. Bell System Tech. Journal, March 1958. ( Available in Dover Publications).Google Scholar
  2. [2]
    Cooley J.W. and Tukey J.W.: An Algorithm for the Machine Calculation of Complex Fourier series. Mathematics of Computation, Vol. 19, pp. 297–301, April 1965.CrossRefMATHMathSciNetGoogle Scholar
  3. [3]
    Shannon C.E.: Communications in the Presence of Noise. Proceedings of the I.R.E., January 1949.Google Scholar
  4. [4]
    Cochran W.T. et al.: What is the Fast Fourier Transform? I. E.E.E. Trans. Au. — No. 2, June 1967.Google Scholar
  5. [5]
    Cooley J.W., Lewis P.A.W., Welch P.D.: The Fast Fourier Transform Algorithm: Programming and Accuracy Considerations in the Calculation of Sine, Cosine, and Laplace Transforms. Lect. series on Applications and Methods of Random Data Analysis, Southampton, July 1969.Google Scholar
  6. [6]
    Priestley M.B.: Basic Considerations in the Estimation of Spectra. Technometrics, Vol. 4 No. 4, November 1962.Google Scholar
  7. [7]
    Cooley J.W., Lewis P.A.W. and Welch P.D.: The Application of the Fast Fourier Transform Algorithm to the Estimation of Spectra and Cross Spectra. Lect. ser. on Applications and Methods of Random Data Analysis, Southampton, July 1969.Google Scholar

Copyright information

© Springer-Verlag Wien 1971

Authors and Affiliations

  • John D. Robson
    • 1
    • 2
  • Colin J. Dodds
    • 1
  • Donald B. Macvean
    • 1
  • Vincent R. Paling
    • 1
  1. 1.University of GlasgowUK
  2. 2.UdineItaly

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