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The Fast Fourier Transform (FFT)

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Abstract

The Fast Fourier Transform (FFT) is one of the most frequently used mathematical tools for digital signal processing. Techniques that use a combination of digital and analogue approaches have been increasing in numbers. This chapter is for establishing the basis of this combined approach in dealing with computer tomography, computer holography and hologram matrix radar.

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References

  1. J. W. Cooley, J. W. Tukey: An algorithm for the machine calculation of complex Fourier series, Math. Comput. 19, 297–301 (1965)

    Article  MathSciNet  MATH  Google Scholar 

  2. H. J. Nussbaumer: In Two-Dimensional Digital Signal Processing II, ed. by T. S. Huang, Topics Appl. Phys., Vol. 43 (Springer, Berlin, Heidelberg 1981) Chap. 3

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  3. H. J. Nussbaumer: Fourier Transform and Convolution Algorithms, 2nd ed. Springer Ser. Inform. Sci., Vol. 2 ( Springer, Berlin, Heidelberg 1982 )

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  4. W. T. Cochran, J. W. Cooley, D. L. Favin, H. D. Helms, R. A. Kaenel, W. W. Lang, G. C. Maling Jr., D. E. Nelson, C. M. Rader, P. D. Welch: What is the Fast Fourier Transform?, Proc. IEEE 55, 1664–1674 (1967)

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  5. Cooley, J. W., Lewis, P. A. W., Welch, P. D.: Historical notes on the Fast Fourier Transform, Proc. IEEE 55, 1675–1677 (1967)

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  6. Gold, B., Rader, C. M.: Digital Processing of Signals ( McGraw Hill, New York 1969 )

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  7. Bergland, G. D.: A guided tour of the Fast Fourier Transform, IEEE Spectrum 41–52 (July 1969)

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  8. Brigham, E. O.: The Fast Fourier Transform ( Prentice Hall, Englewood Cliffs, NJ 1974 )

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© 1985 Springer-Verlag Berlin Heidelberg

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Iizuka, K. (1985). The Fast Fourier Transform (FFT). In: Engineering Optics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-07032-1_7

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  • DOI: https://doi.org/10.1007/978-3-662-07032-1_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-07034-5

  • Online ISBN: 978-3-662-07032-1

  • eBook Packages: Springer Book Archive

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