Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Relationships between the Radon–Wigner and fractional Fourier transforms

Not Accessible

Your library or personal account may give you access

Abstract

Two recently described transforms are shown to be related. The Radon–Wigner transform is the squared modulus of the fractional Fourier transform. This new theorem may serve to translate signal and image processing results between different signal representations. Some consequences regarding moments are presented, including a new fractional-Fourier-transform uncertainty relation. Implications for processing are suggested.

© 1994 Optical Society of America

Full Article  |  PDF Article
More Like This
Optical illustration of a varied fractional Fourier-transform order and the Radon–Wigner display

David Mendlovic, Rainer G. Dorsch, Adolf W. Lohmann, Zeev Zalevsky, and Carlos Ferreira
Appl. Opt. 35(20) 3925-3929 (1996)

Image rotation, Wigner rotation, and the fractional Fourier transform

Adolf W. Lohmann
J. Opt. Soc. Am. A 10(10) 2181-2186 (1993)

Motion detection, the Wigner distribution function, and the optical fractional Fourier transform

John T. Sheridan, Bryan Hennelly, and Damien Kelly
Opt. Lett. 28(11) 884-886 (2003)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (1)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (27)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved