Ka. Wear et al., STATISTICAL PROPERTIES OF ESTIMATES OF SIGNAL-TO-NOISE RATIO AND NUMBER OF SCATTERERS PER RESOLUTION CELL, The Journal of the Acoustical Society of America, 102(1), 1997, pp. 635-641
Elementary theory underlying the relationship between the number of sc
atterers per resolution cell (N) and echo intensity signal-to-noise ra
tio (SNR) is reviewed. A relationship between the probability density
functions for estimates of N and SNR2 is derived. This relationship is
validated using a computer simulation Phantom and in vitro experiment
s are described. In one set of experiments on phantoms, empirical dist
ributions of estimates of N and SNR2 are measured and compared to theo
retical predictions. The utility of SNR2 for discrimination of phantom
s with different values for N is assessed using receiver operating cha
racteristic (ROC) analysis. In another set of experiments, the frequen
cy dependence of the SNR2 estimate is investigated for a two-component
phantom and for excised dog kidney. It is shown that the frequency de
pendence of the SNR can help to identify the presence of two or more s
cattering components that are spatially mixed. With regard to kidney d
ata, measurements performed both parallel and perpendicular to the pre
dominant nephron orientation are reported. The observed anisotropy is
compared to the anisotropy of backscatter coefficient encountered in p
revious investigations.