Signal spatial-filtering using the localized fractional Fourier transform

The fractional Fourier transform has become an important tool for signal processing. Based on this transformation, a novel transformation that applies different fractional orders for different spatial locations, is presented. Hence in filtering systems based on correlation operation, different amoun...

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Bibliographic Details
Published in:Optics communications 1996-05, Vol.126 (1), p.14-18
Main Authors: Mendlovic, David, Zalevsky, Zeev, Lohmann, Adolf W, Dorsch, Rainer G
Format: Article
Language:English
Subjects:
Applied sciences
Exact sciences and technology
Optical communication systems, multiplexers, and demultiplexers
Systems, networks and services of telecommunications
Telecommunications
Telecommunications and information theory
Transmission and modulation (techniques and equipments)
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Summary:The fractional Fourier transform has become an important tool for signal processing. Based on this transformation, a novel transformation that applies different fractional orders for different spatial locations, is presented. Hence in filtering systems based on correlation operation, different amount of shift variance of the correlation peak is obtained in different regions of the input. A simple optical implementation and a various range of possible applications, are illustrated.
ISSN:0030-4018
1873-0310
DOI:10.1016/0030-4018(96)00014-4