Title
Improved estimation of parameters of the homodyned K distribution
Date Issued
01 January 2009
Access level
metadata only access
Resource Type
conference paper
Author(s)
Hruska D.
O'Brien W.D.
Oelze M.L.
University of Illinois at Urbana-Champaign
Publisher(s)
Institute of Electrical and Electronics Engineers Inc.
Abstract
The amplitude distribution of the envelope of backscattered ultrasound depends on tissue microstructure. By fitting measured envelope data to a model, parameters can be estimated to describe properties of underlying tissue. The homodyned K distribution is a general model that encompasses the scattering situations modeled by the Rice, Rayleigh, and K distributions. However, parameter estimation for the homodyned K distribution is not straightforward because the model is analytically complex. Furthermore, effects of frequency-dependent attenuation on parameter estimates need to be assessed. An improved parameter estimation algorithm was developed to quickly and accurately estimate parameters of the homodyned K distribution, i.e., the μ (effective number of scatterers per resolution cell) and k (ratio of coherent to diffuse energy) parameters. Parameter estimates were found by fitting estimates of SNR, skewness, and kurtosis of fractional-order moments of the envelope with theoretical values predicted by the homodyned K distribution. The effects of frequency dependent attenuation were approximated by assuming a Gaussian pulse to determine the shift in center frequency of the pulse and hence change in volume of the resolution cell. Computational phantoms were created with varying attenuation coefficients and scanned using a simulated f/4 transducer with a center frequency of 10 MHz. An average of two scatterers per resolution cell (based on the phantoms with no attenuation) was used. The new estimation algorithm was tested and compared with an existing algorithm (based on the even moments of the homodyned K distribution). The new estimation algorithm was found to produce estimates with lower bias and variance. For example, for μ = 2 and k ranging from 0 to 2 in steps of 0.1, the average variance in the μ parameter estimates was 0.067 for the new algorithm and 0.42 for existing algorithm. For the k parameter estimates, the average variance was 0.0069 for the new algorithm and 0.048 for the old algorithm. In the simulations with no attenuation, the μ parameter estimate was 2.53±0.18. In the phantoms with a linear attenuation coefficient of 0.5 dB·MHz -1·cm-1, the estimate was 4.64±0.54. This compared well with the predicted μ value of 4.98. ©2009 IEEE.
Start page
2268
End page
2271
Language
English
OCDE Knowledge area
Ingeniería eléctrica, Ingeniería electrónica
Scopus EID
2-s2.0-77952839223
ISSN of the container
10510117
ISBN of the container
9781424443895
Conference
Proceedings - IEEE Ultrasonics Symposium: 2009 IEEE International Ultrasonics Symposium, IUS 2009
Sources of information: Directorio de Producción Científica Scopus