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      • Department of Electrical and Electronics Engineering
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      The fractional fourier transform and its applications to image representation and beamforming

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      Author
      Yetik, I. Ş
      Kutay, M. A.
      Özaktaş, Haldun. M.
      Date
      2003-09
      Source Title
      Proceedings of the ASME Design Engineering Technical Conference
      Publisher
      ASME
      Pages
      771 - 780
      Language
      English
      Type
      Conference Paper
      Item Usage Stats
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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 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
      Permalink
      http://hdl.handle.net/11693/27501
      Published Version (Please cite this version)
      https://doi.org/10.1115/DETC2003/VIB-48392
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      • Department of Electrical and Electronics Engineering 3524
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