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      • Department of Electrical and Electronics Engineering
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      Fast and accurate linear canonical transform algorithms

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      Author
      Özaktaş, Haldun M.
      Koç, A.
      Date
      2015
      Source Title
      Proceedings of the 23nd Signal Processing and Communications Applications Conference, SIU 2015
      Publisher
      IEEE
      Pages
      1409 - 1412
      Language
      Turkish
      Type
      Conference Paper
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      Abstract
      Linear canonical transforms are encountered in many areas of science and engineering. Important transformations such as the fractional Fourier transform and the ordinary Fourier transform are special cases of this transform family. This family of transforms is especially important for the modelling of wave propagation. It has many applications such as noise removal, image encryption, and analysis of optical systems. Here we discuss algorithms for fast and accurate computation of these transforms. These algorithms can achieve the same accuracy and speed as fast Fourier transform algorithms, so that they can be viewed as optimal algorithms. Efficient sampling of signals plays an important part in the development of these algorithms.
      Keywords
      ABCD optics
      Transforms
      Digital signal processing
      Eigenvalues and eigenfunctions
      Fast Fourier transforms
      Fourier optics
      Importance sampling
      Optical systems
      Signal processing
      Wave propagation
      Accurate computations
      Efficient sampling
      Fast algorithms
      Fast Fourier transform algorithm
      Linear canonical transform
      Quadratic phase systems
      Science and engineering
      Mathematical transformations
      Permalink
      http://hdl.handle.net/11693/28330
      Published Version (Please cite this version)
      http://dx.doi.org/10.1109/SIU.2015.7130106
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      • Department of Electrical and Electronics Engineering 3614
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