3rd IEEE Signal Processing Education Workshop. 2004 IEEE 11th Digital Signal Processing Workshop, 2004.
The basis functions for the fractional Fourier transform are chirp signals where a precise relationship between the fractional parameter and the chirp angle can be established. The recently introduced centered discrete fractional Fourier transform, based on the Grünbaum commuting matrix, has basis functions that have a sigmoidal instantaneous frequency and produces a transform that is approximately an impulse for discrete chirps. However, no such precise relation between the fractionaldoi:10.1109/dspws.2004.1437934 fatcat:wtcfcv76xrg4dhtefmdqjujutm