The discrete fractional Fourier transformation
Kutay, M. A.
Özaktaş, H. M.
Akdemir, Ö. K.
Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis
IEEE, Piscataway, NJ, United States
205 - 207
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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.
Discrete fractional Fourier transformations
Fractional Fourier transform
Sampled periodic functions