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Discrete Fourier Transform

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Fast Fourier Transform - Algorithms and Applications

Part of the book series: Signals and Communication Technology ((SCT))

Abstract

The DFT and IDFT can be defined as follows.

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Notes

  1. 1.

    See problem 2.21(a).

References

  1. H.J. Nussbaumer, Fast Fourier Transform and Convolution Algorithms (Springer-Verlag, Heidelberg, Germany, 1981)

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  2. A.K. Jain, Fundamentals of Digital Image Processing (Prentice-Hall, Englewood Cliffs, NJ, 1989)

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  3. K.R. Rao, P.C. Yip (eds.), The Transform and Data Compression Handbook (CRC Press, Boca Raton, FL, 2001)

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  4. M. Borgerding, Turning overlap-save into a multiband mixing, downsampling filter bank. IEEE SP Mag. 23, 158–161 (Mar. 2006)

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  5. B.R. Hunt, A matrix theory proof of the discrete convolution theorem. IEEE Audio Electroacoustics 19, 285–288 (Dec. 1971)

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Correspondence to K. R. Rao .

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Rao, K.R., Kim, D.N., Hwang, J.J. (2010). Discrete Fourier Transform. In: Fast Fourier Transform - Algorithms and Applications. Signals and Communication Technology. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6629-0_2

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  • DOI: https://doi.org/10.1007/978-1-4020-6629-0_2

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