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Two-Window Spectrograms and Their Integrals

  • Paolo Boggiatto
  • Giuseppe De Donno
  • Alessandro Oliaro
Part of the Operator Theory: Advances and Applications book series (OT, volume 205)

Abstract

We analyze in this paper some basic properties of two-window spectrograms, introduced in a previous work. This is achieved by the analysis of their kernel, in view of their immersion in the Cohen class of time-frequency representations. Further we introduce weighted averages of two-window spectrograms depending on varying window functions. We show that these new integrated representations improve some features of both the classical Rihaczek representation and the two-window spectrogram which in turns can be viewed as limit cases of them.

Keywords

Time-frequency representation Rihaczek representation two-window spectrogram 

Mathematics Subject Classification (2000)

Primary 42B10 47A07 33C05 

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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2009

Authors and Affiliations

  • Paolo Boggiatto
    • 1
  • Giuseppe De Donno
    • 1
  • Alessandro Oliaro
    • 1
  1. 1.Dipartimento di MatematicaUniversità di TorinoTorinoItaly

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