Computation of the fractional Fourier transform

@article{Bultheel2004ComputationOT,
  title={Computation of the fractional Fourier transform},
  author={A. Bultheel and Hector Martinez Sulbaran},
  journal={Applied and Computational Harmonic Analysis},
  year={2004},
  volume={16},
  pages={182-202}
}
  • A. Bultheel, Hector Martinez Sulbaran
  • Published 2004
  • Mathematics
  • Applied and Computational Harmonic Analysis
  • In this note we make a critical comparison of some matlab programs for the digital computation of the fractional Fourier transform that are freely available and we describe our own implementation that lters the best out of the existing ones. Two types of transforms are considered: First the fast approximate fractional Fourier transform algorithm for which two algorithms are available. The method is described in H.M. Ozaktas, M.A. Kutay, and G. Bozda gi. Digital computation of the fractional… CONTINUE READING
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    References

    SHOWING 1-10 OF 27 REFERENCES
    Discrete fractional Fourier transform based on orthogonal projections
    • 283
    • PDF
    The fractional Fourier transform and time-frequency representations
    • L. Almeida
    • Mathematics, Computer Science
    • IEEE Trans. Signal Process.
    • 1994
    • 1,506
    The Fractional Order Fourier Transform and its Application to Quantum Mechanics
    • 1,354
    Continuous vs. discrete fractional Fourier transforms
    • 61
    The discrete fractional Fourier transform
    • 189
    • Highly Influential
    • PDF
    Digital Computation of Fractional Fourier Transform
    • 241
    • Highly Influential
    A multi-input-multi-output system approach for the computation of discrete fractional Fourier transform
    • 13
    Multiplicity of fractional Fourier transforms and their relationships
    • 78
    • PDF
    Improved discrete fractional Fourier transform.
    • 173
    • PDF
    Understanding discrete rotations
    • Michael S. Richman, T. Parks
    • Mathematics, Computer Science
    • 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing
    • 1997
    • 24
    • PDF