The fractional fourier transform and its applications to image representation and beamforming

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The_fractional_fourier_transform_and_its_pplications_to_mage_epresentation_and_beamforming.pdf (376.62 KB)

Date

2003-09

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Source Title

Proceedings of the ASME Design Engineering Technical Conference

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ASME

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Pages

771 - 780

Language

English

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Conference Paper

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Abstract

The ath order fractional Fourier transform operator is the ath power of the ordinary Fourier transform operator. We provide a brief introduction to the fractional Fourier transform, discuss some of its more important properties, and concentrate on its applications to image representation and compression, and beamforming. We show that improved performance can be obtained by employing the fractional Fourier transform instead of the ordinary Fourier transform in these applications.

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Keywords

Eigenvalues and eigenfunctions, Frequency domain analysis, Functions, Gaussian noise (electronic), Image processing, Sensors, Signal processing, Signal to noise ratio, Beamforming, Fractional fourier transforms, Image representation, Fourier transforms

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http://hdl.handle.net/11693/27501

Published Version (Please cite this version)

https://doi.org/10.1115/DETC2003/VIB-48392

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Scholarly Publications - Electrical and Electronics Engineering