Optical implementation of the 2D Radon-Wigner transform

David Mendlovic; Rainer G. Dorsch; Zeev Zalevsky; Carlos Ferreira

doi:10.1117/12.231078

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5 February 1996 Optical implementation of the 2D Radon-Wigner transform

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

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Proceedings Volume 2730, Second Iberoamerican Meeting on Optics; (1996) https://doi.org/10.1117/12.231078
Event: Second Iberoamerican Meeting on Optics, 1995, Guanajuato, Mexico

Abstract

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.

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David Mendlovic, Rainer G. Dorsch, Zeev Zalevsky, and Carlos Ferreira "Optical implementation of the 2D Radon-Wigner transform", Proc. SPIE 2730, Second Iberoamerican Meeting on Optics, (5 February 1996); https://doi.org/10.1117/12.231078

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