The Fourier Transform and Related Concepts: A First Look
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.
KeywordsFourier Transform Discrete Fourier Transform Related Concept Cosine Function Free Induction Decay
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- 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
- 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