Digital computation of the fractional Fourier transform

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Digital_computation_of_the_fractional_Fourier_transform.pdf (1.14 MB)

Date

1996-09

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Abstract

An algorithm for efficient and accurate computation of the fractional Fourier transform is given. For signals with time-bandwidth product N, the presented algorithm computes the fractional transform in O(NlogN) time. A definition for the discrete fractional Fourier transform that emerges from our analysis is also discussed.

Source Title

IEEE Transactions on Signal Processing

Publisher

Institute of Electrical and Electronics Engineers

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Keywords

Algorithms, Approximation theory, Bandwidth, Calculations, Eigenvalues and eigenfunctions, Fourier transforms, Integral equations, Mathematical operators, Numerical methods, Fractional Fourier transforms, Wigner distribution, Digital signal processing

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http://hdl.handle.net/11693/25742

Published Version (Please cite this version)

http://dx.doi.org/10.1109/78.536672

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Scholarly Publications - Electrical and Electronics Engineering

Language

English

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Article