RELATIONSHIPS BETWEEN THE RADON-WIGNER AND FRACTIONAL FOURIER-TRANSFORMS

Authors
LOHMANN AW SOFFER BH
Citation
Aw. Lohmann et Bh. Soffer, RELATIONSHIPS BETWEEN THE RADON-WIGNER AND FRACTIONAL FOURIER-TRANSFORMS, Journal of the Optical Society of America. A, Optics, image science,and vision., 11(6), 1994, pp. 1798-1811
Citations number
13
Categorie Soggetti
Optics
Journal title
Journal of the Optical Society of America. A, Optics, image science,and vision. → ACNP
ISSN journal
10847529
Volume
11
Issue
6
Year of publication
1994
Pages
1798 - 1811
Database
ISI
SICI code
1084-7529(1994)11:6<1798:RBTRAF>2.0.ZU;2-G
Abstract
Two recently described transforms are shown to be related. The Radon-W igner transform is the squared modulus of the fractional Fourier trans form. This new theorem may serve to translate signal and image process ing results between different signal representations. Some consequence s regarding moments are presented, including a new fractional-Fourier- transform uncertainty relation. Implications for processing are sugges ted.