Abstract
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 language | English |
|---|---|
| Title of host publication | 2010 IEEE Ultrasonics Symposium (IUS) |
| Publisher | IEEE |
| Pages | 2327-2331 |
| Number of pages | 5 |
| ISBN (Electronic) | 9781457703812 |
| DOIs | |
| Publication status | Published - 30 Jun 2011 |
| Event | 2010 IEEE International Ultrasonics Symposium - San Diego, United States Duration: 11 Oct 2010 → 14 Oct 2010 |
Conference
| Conference | 2010 IEEE International Ultrasonics Symposium |
|---|---|
| Abbreviated title | IUS 2010 |
| Country/Territory | United States |
| City | San Diego |
| Period | 11/10/10 → 14/10/10 |
Keywords
- 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