Time-Time Distributions for Discrete Wavelet Transforms

  • C. R. Pinnegar
  • H. Khosravani
  • P. Federico
Part of the Operator Theory: Advances and Applications book series (OT, volume 205)


The short-time Fourier transform has an easily defined time-domain counterpart: a set of windowed time series, each one corresponding to a specific window position. Considered collectively, these constitute a time-time distribution, since the window position gives a second time variable. Multiresolution time-time distributions can also be defined. The only such distribution that has been investigated thus far, the TT-transform, is the time-domain counterpart of a continuous wavelet transform. In this short paper, we describe a new method of calculating time-time distributions for discrete wavelet transforms, and present two examples.


Short-time Fourier transform time-time distribution TT-transform wavelet transform 

Mathematics Subject Classification (2000)

Primary 65T60 Secondary 47G30 


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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2009

Authors and Affiliations

  • C. R. Pinnegar
    • 1
  • H. Khosravani
    • 1
  • P. Federico
    • 1
  1. 1.Department of Clinical NeurosciencesUniversity of Calgary Foothills Medical CentreCalgaryCanada

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