A levy flight model for ultrasound in skin tissues

Marcelo A. Pereyra, Hadj Batatia

Research output: Chapter in Book/Report/Conference proceedingConference contribution

7 Citations (Scopus)


Starting from the widely accepted point scattering model, this paper establishes through mathematical developments that ultrasound signals backscattered from skin tissues converge to a Levy Flight random process with non-Gaussian α-stable statistics. In addition, it is shown that this signal statistics imply that scatterers in skin have heavy-tailed power-law cross-sections. Therefore, this paper puts forward that the non-Gaussian nature of signals backscattered from skin arises a case limit, where both the number of scatterers and the variance of their cross-sections tend to infinity. Experimental results supported by excellent goodness-of-fit tests confirm the proposed analytical model. Finally, these fundamental results set the basis for new ultrasound-based skin characterization tools.
Original languageEnglish
Title of host publication2010 IEEE Ultrasonics Symposium (IUS)
Number of pages5
ISBN (Electronic)9781457703812
Publication statusPublished - 30 Jun 2011
Event2010 IEEE International Ultrasonics Symposium - San Diego, United States
Duration: 11 Oct 201014 Oct 2010


Conference2010 IEEE International Ultrasonics Symposium
Abbreviated titleIUS 2010
Country/TerritoryUnited States
CitySan Diego


  • bioacoustics
  • biomedical ultrasonics
  • physiological models
  • random processes
  • skin
  • ultrasonic scattering
  • Levy flight model
  • Levy flight random process
  • heavy tailed power law cross section
  • nonGaussian alpha-stable statistics
  • point scattering model
  • signal statistics
  • skin scatterers
  • skin tissues
  • ultrasound based skin characterization tools
  • ultrasound signal backscattering
  • Acoustics
  • Dermis
  • Manganese
  • Scattering
  • Speckle
  • Ultrasonic imaging


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