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[00884] Time-Frequency Analysis of Functional Datasets

  • Session Time & Room : 3C (Aug.23, 13:20-15:00) @F311
  • Type : Contributed Talk
  • Abstract : We introduce an operator valued Short-Time Fourier Transform for certain classes of operators with operator window, and show that the transform acts in an analogous way to the STFT for functions. This object reflects the time-frequency behaviour for datasets of functional data in both a intra- and inter-functional manner, showing the function-wise time-frequency distribution and cross correlation of time-frequency concentration between datapoints, hence combining desirable aspects of existing basis selection methods for functional data science.
  • Classification : 46-XX, 62R10
  • Format : Talk at Waseda University
  • Author(s) :
    • Monika Dörfler (University of Vienna)
    • Franz Luef (Norwegian University of Science and Technology (NTNU))
    • Henry McNulty (Norwegian University of Science and Technology (NTNU))
    • Eirik Skrettingland (NA)