Los Alamos National Laboratory, Los Alamos, NM 87545, United States.
Ultrasonics. 2012 Aug;52(6):720-9. doi: 10.1016/j.ultras.2012.01.011. Epub 2012 Feb 2.
In this study, we perform statistical analysis on two methods used to estimate the total ultrasound attenuation along the propagation path from the surface of the transducer to a region of interest at a particular depth; namely, the spectral-fit method and the multiple-filter method. We derive mathematical equations for the bias and variance in the attenuation estimates as a function of region of interest (ROI) size, imaging system bandwidth, and number of independent Gaussian filters (for the multiple filter method). We use numerical simulations to validate the mathematical equations and compare the two algorithms. The results show that the variance in the total attenuation coefficient estimates obtained with the two methods are comparable, and that the estimates are unbiased. For the multiple filter method, the optimal number of Gaussian filters is two.
在这项研究中,我们对两种用于估计从换能器表面到特定深度感兴趣区域的传播路径总超声衰减的方法进行了统计分析;即谱拟合法和多滤波器法。我们推导出了衰减估计的偏差和方差的数学方程,作为感兴趣区域(ROI)大小、成像系统带宽和独立高斯滤波器数量(对于多滤波器方法)的函数。我们使用数值模拟来验证数学方程并比较两种算法。结果表明,两种方法得到的总衰减系数估计的方差相当,且估计是无偏的。对于多滤波器方法,最佳的高斯滤波器数量为两个。