The fractional fourier transform and its applications to image representation and beamforming
Date
2003-09Source Title
Proceedings of the ASME Design Engineering Technical Conference
Publisher
ASME
Pages
771 - 780
Language
English
Type
Conference PaperItem Usage Stats
154
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130
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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.
Keywords
Eigenvalues and eigenfunctionsFrequency domain analysis
Functions
Gaussian noise (electronic)
Image processing
Sensors
Signal processing
Signal to noise ratio
Beamforming
Fractional fourier transforms
Image representation
Fourier transforms