IMPROVED DISCRETE FRACTIONAL FOURIER-TRANSFORM

The fractional Fourier transform is a useful mathematical operation th at generalizes the well-known continuous Fourier transform. Several di screte fractional Fourier transforms (DFRFTs) 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 o f the continuous fractional Fourier transform and also retains the rot ation properties. (C) 1997 Optical Society of America.