The fractional Fourier transform is a useful mathematical operation that
generalizes the well-known continuous Fourier transform. Several discrete
fractional Fourier transforms (DFRFT’s) have been developed, but their results
do not match those of the continuous case. We propose a new DFRFT. This
improved DFRFT provides transforms similar to those of the continuous fractional
Fourier transform and also retains the rotation properties.
© 1997 Optical Society of America
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