The discrete fractional Fourier transformation

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Discrete fractional Fourier transformation.pdf (250.7 KB)

Date

1996

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Source Title

Proceedings of the 3rd International Symposium on Time-Frequency and Time-Scale Analysis, IEEE 1996

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IEEE

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Pages

205 - 207

Language

English

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Conference Paper

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Abstract

Based on the fractional Fourier transformation of sampled periodic functions, the discrete form of the fractional Fourier transformation is obtained. It is found that only for a certain dense set of fractional orders such a discrete transformation is possible to define. Also, for its efficient computation a fast algorithm, which has the same complexity as the FFT, is given.

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Keywords

Algorithms, Computational complexity, Computational methods, Fractals, Signal processing, Signal theory, Discrete fractional Fourier transformations, Fractional Fourier transform, Sampled periodic functions, Fourier transforms

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http://hdl.handle.net/11693/27756

Published Version (Please cite this version)

https://doi.org/10.1109/TFSA.1996.547217

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Scholarly Publications - Electrical and Electronics Engineering