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
Soo-Chang Pei and Min-Hung Yeh, "Improved discrete fractional Fourier transform," Opt. Lett. 22, 1047-1049 (1997)