Optical implementation of the 2D Radon-Wigner transform

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

Optical implementation of the 2D Radon-Wigner transform

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

^*Corresponding author for this work

School of Electrical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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.

Original language	English
Title of host publication	Proceedings of SPIE - The International Society for Optical Engineering
Editors	Daniel Malacara-Hernandez, Sofia E. Acosta, Ramon Rodriguez-Vera, Zacarias Malacara, Arquimedes A. Morales
Pages	257-266
Number of pages	10
State	Published - 1996
Event	Second Iberoamerican Meeting on Optics - Guanajuato, Mex Duration: 18 Sep 1995 → 22 Sep 1995

Publication series

Name	Proceedings of SPIE - The International Society for Optical Engineering
Volume	2730
ISSN (Print)	0277-786X

Conference

Conference	Second Iberoamerican Meeting on Optics
City	Guanajuato, Mex
Period	18/09/95 → 22/09/95

Cite this

Mendlovic, D., Dorsch, R. G., Zalevsky, Z., & Ferreira, C. (1996). Optical implementation of the 2D Radon-Wigner transform. In D. Malacara-Hernandez, S. E. Acosta, R. Rodriguez-Vera, Z. Malacara, & A. A. Morales (Eds.), Proceedings of SPIE - The International Society for Optical Engineering (pp. 257-266). (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 2730).

Mendlovic, David ; Dorsch, Rainer G. ; Zalevsky, Zeev et al. / Optical implementation of the 2D Radon-Wigner transform. Proceedings of SPIE - The International Society for Optical Engineering. editor / Daniel Malacara-Hernandez ; Sofia E. Acosta ; Ramon Rodriguez-Vera ; Zacarias Malacara ; Arquimedes A. Morales. 1996. pp. 257-266 (Proceedings of SPIE - The International Society for Optical Engineering).

@inproceedings{0abb852846f14914b136e5c2941f7545,

title = "Optical implementation of the 2D Radon-Wigner transform",

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.",

author = "David Mendlovic and Dorsch, {Rainer G.} and Zeev Zalevsky and Carlos Ferreira",

year = "1996",

language = "אנגלית",

isbn = "0819421111",

series = "Proceedings of SPIE - The International Society for Optical Engineering",

pages = "257--266",

editor = "Daniel Malacara-Hernandez and Acosta, {Sofia E.} and Ramon Rodriguez-Vera and Zacarias Malacara and Morales, {Arquimedes A.}",

booktitle = "Proceedings of SPIE - The International Society for Optical Engineering",

note = "Second Iberoamerican Meeting on Optics ; Conference date: 18-09-1995 Through 22-09-1995",

}

Mendlovic, D, Dorsch, RG, Zalevsky, Z & Ferreira, C 1996, Optical implementation of the 2D Radon-Wigner transform. in D Malacara-Hernandez, SE Acosta, R Rodriguez-Vera, Z Malacara & AA Morales (eds), Proceedings of SPIE - The International Society for Optical Engineering. Proceedings of SPIE - The International Society for Optical Engineering, vol. 2730, pp. 257-266, Second Iberoamerican Meeting on Optics, Guanajuato, Mex, 18/09/95.

Optical implementation of the 2D Radon-Wigner transform. / Mendlovic, David; Dorsch, Rainer G.; Zalevsky, Zeev et al.
Proceedings of SPIE - The International Society for Optical Engineering. ed. / Daniel Malacara-Hernandez; Sofia E. Acosta; Ramon Rodriguez-Vera; Zacarias Malacara; Arquimedes A. Morales. 1996. p. 257-266 (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 2730).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Dorsch, Rainer G.

AU - Zalevsky, Zeev

AU - Ferreira, Carlos

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N2 - 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.

AB - 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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T3 - Proceedings of SPIE - The International Society for Optical Engineering

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BT - Proceedings of SPIE - The International Society for Optical Engineering

A2 - Malacara-Hernandez, Daniel

A2 - Acosta, Sofia E.

A2 - Rodriguez-Vera, Ramon

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A2 - Morales, Arquimedes A.

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Optical implementation of the 2D Radon-Wigner transform

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