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      • Department of Electrical and Electronics Engineering
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      Fast and accurate algorithms for quadratic phase integrals in optics and signal processing

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      Author
      Koç, A.
      Özaktaş, Haldun M.
      Hesselink L.
      Date
      2011
      Source Title
      Proceedings of SPIE
      Print ISSN
      0277-786X
      Publisher
      SPIE
      Volume
      8043
      Language
      English
      Type
      Conference Paper
      Item Usage Stats
      136
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      Abstract
      The class of two-dimensional non-separable linear canonical transforms is the most general family of linear canonical transforms, which are important in both signal/image processing and optics. Application areas include noise filtering, image encryption, design and analysis of ABCD systems, etc. To facilitate these applications, one need to obtain a digital computation method and a fast algorithm to calculate the input-output relationships of these transforms. We derive an algorithm of NlogN time, N being the space-bandwidth product. The algorithm controls the space-bandwidth products, to achieve information theoretically sufficient, but not redundant, sampling required for the reconstruction of the underlying continuous functions. © 2011 SPIE.
      Keywords
      ABCD optics
      Fast algorithms
      Linear Canonical Transforms
      Quadratic-Phase Systems
      Transforms
      Bandwidth
      Imaging systems
      Mathematical transformations
      Optics
      Signal processing
      Visualization
      Continuous functions
      Design and analysis
      Digital computation
      Fast algorithms
      Fast and accurate algorithms
      Image encryptions
      Linear canonical transform
      Space-bandwidth product
      Algorithms
      Permalink
      http://hdl.handle.net/11693/28418
      Published Version (Please cite this version)
      http://dx.doi.org/10.1117/12.884676
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      • Department of Electrical and Electronics Engineering 3524
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