Optical implementation of the 2D Radon-Wigner transform

David Mendlovic*, Rainer G. Dorsch, Zeev Zalevsky, Carlos Ferreira

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


Based on an all-optical system, a chart of a fractional Fourier transform with many fractional orders is proposed. Using the digital image processing terminology, this chart is known as the Radon-Wigner transform. It enables new aspects for signal analysis which are related to time- frequency and spatial frequency analysis. The given approach for producing this chart starts with a one dimensional input signal while the output signal contains two dimensions. The optical setup for obtaining the fractional Fourier transform was adapted to include only fixed free space propagation distances and variable lenses. With a set of two multifacet composite holograms, the Radon-Wigner chart has been experimentally demonstrated.

Original languageEnglish
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
EditorsDaniel Malacara-Hernandez, Sofia E. Acosta, Ramon Rodriguez-Vera, Zacarias Malacara, Arquimedes A. Morales
Number of pages10
StatePublished - 1996
EventSecond Iberoamerican Meeting on Optics - Guanajuato, Mex
Duration: 18 Sep 199522 Sep 1995

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
ISSN (Print)0277-786X


ConferenceSecond Iberoamerican Meeting on Optics
CityGuanajuato, Mex


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