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      • Department of Electrical and Electronics Engineering
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      Effect of fractional Fourier transformation on time-frequency distributions belonging to the Cohen class

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      Author(s)
      Özaktaş, Haldun M.
      Erkaya, N.
      Kutay, M. A.
      Date
      1996-02
      Source Title
      IEEE Signal Processing Letters
      Print ISSN
      1070-9908
      Electronic ISSN
      1558-2361
      Publisher
      Institute of Electrical and Electronics Engineers
      Volume
      3
      Issue
      2
      Pages
      40 - 41
      Language
      English
      Type
      Article
      Item Usage Stats
      180
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      173
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      Abstract
      We consider the Cohen (1989) class of time-frequency distributions, which can be obtained from the Wigner distribution by convolving it with a kernel characterizing that distribution. We show that the time-frequency distribution of the fractional Fourier transform of a function is a rotated version of the distribution of the original function, if the kernel is rotationally symmetric. Thus, the fractional Fourier transform corresponds to rotation of a relatively large class of time-frequency representations (phase-space representations), confirming the important role this transform plays in the study of such representations.
      Keywords
      Time frequency analysis
      Fourier transforms
      Kernel
      Optical signal processing
      Optical computing
      Quantum mechanics
      Wavelet transforms
      Neural networks
      Chirp
      Signal processing algorithms
      Permalink
      http://hdl.handle.net/11693/10794
      Published Version (Please cite this version)
      http://dx.doi.org/10.1109/97.484211
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      • Department of Electrical and Electronics Engineering 3863
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