The discrete fractional Fourier transformation
Proceedings of the 3rd International Symposium on Time-Frequency and Time-Scale Analysis, IEEE 1996
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