title: Efficient computation of joint fractional Fourier domain signal representation.
abstract: A joint fractional domain signal representation is proposed based on an intuitive understanding from a time-frequency distribution of signals that designates the joint time and frequency energy content. The joint fractional signal representation (JFSR) of a signal is so designed that its projections onto the defining joint fractional Fourier domains give the modulus square of the fractional Fourier transform of the signal at the corresponding orders. We derive properties of the JFSR, including its relations to quadratic time-frequency representations and fractional Fourier transformations, which include the oblique projections of the JFSR. We present a fast algorithm to compute radial slices of the JFSR and the results are shown for various signals at different fractionally ordered domains.
authors.affiliation: Department of Electronics and Communications Engineering, Yildiz Technical University, Besiktas, Istanbul 34349, Turkey. lutfiye@ieee.org
authors.forename: Lutfiye
authors.initials: L
authors.lastname: Durak
authors.forename: Ahmet Kemal
authors.initials: AK
authors.lastname: Ozdemir
authors.forename: Orhan
authors.initials: O
authors.lastname: Arikan