CREATIS-LRMN Laboratory || INSA France-Lyon

Research






STATISTICS OF ULTRASOUND SIGNAL


Abstract

We first studied the statistics of the radio frequency signal in the case of partially developed speckle. Using the K distribution framework, we gave the probability density function of the associated distribution, the corresponding moments as well as estimators for the parameters of the distribution. The consistency of the proposed estimators has been evaluated in terms of their bias and variance through numerical simulations. The ability of the proposed distribution to model RF echographic signals from cardiac tissues has been evaluated from data acquired in vivo. We then demonstrated that the Generalized Gaussian (G.G.) provides a reliable and computationally convenient approximation of the KRF. The performance of the parameters estimators for the two distributions is evaluated and compared in terms of their bias and variance through numerical simulations. This framework is applied to the modeling of echocardiographic data. The ability of the Generalized Gaussian to model radio-frequency signals from cardiac tissues (myocardium) and blood regions has been demonstrated on data acquired in vivo.


Experiments

The ability of the KRF and G.G. distributions in modelling radio-frequency signals has been evaluated from echocardiographic images in myocardial regions (heart muscle region). The results clearly show the reliability of these distributions in representing RF data corresponding to different kind of tissue regions.


echo images

Fitting probability density functions for a myocardium region


Related papers

  • Olivier Bernard, Basma Touil, Jan D'hooge, Denis Friboulet. Statistical modeling of the radiofrequency signal for partially and fully developed speckle based on a Generalized Gaussian model with application to echocardiography. In IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control. volume 54, no. 10, pp. 2189-2194, 2007.

  • Olivier Bernard, Basma Touil, Jan D'hooge, Denis Friboulet. Statistics of the radiofrequency signal based on k distribution with application to echocardiographic images. In IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, volume 53, no. 09, pp. 1689-1694, 2006.

  • Hervé Liebgott, Olivier Bernard, Christian Cachard, Denis Friboulet. Field simulation parameters design for realistic statistical parameters of Radio-Frequency ultrasound images. In IEEE Ultrasonic Symposium, New York, NY, USA, 2007.

  • Olivier Bernard, Jan D'hooge, Denis Friboulet. Statistical Modeling of the Radio-frequency Signal in Echocardiographic Images Using Modified K-Distribution and Generalized Gaussian Distribution. In IEEE Ultrasonic Symposium, Vancouver, Canada, pp. 1710-1713, 2006.

  • Olivier Bernard, Jan D'hooge, Denis Friboulet. Statistical modelling of the radio-frequency signal in echocardiographic images based on generalized Gaussian distribution. In IEEE International Symposium on Biomedical Imaging (ISBI’ 06), Arlington, Virginia, USA, pp. 153-156, 2006.