Statistical uncertainty in ultrasonic backscatter and attenuation coefficients determined with a reference phantom

Abstract

Uncertainties in measured attenuation and backscatter coefficients due to statistical fluctuations in echo signal data from a randomly scattering medium are estimated. The uncertainties are computed for the special case in which a reference phantom is employed to account for transducer and instrumentation factors when measuring attenuation and backscatter coefficients. The resultant uncertainty in the attenuation is inversely proportional to the 3 2 power of the depth range. The error in the backscatter coefficient arises both from the local fluctuation in the data and from the uncertainty in the attenuation estimate. The first of these is inversely proportional to the square root of the number of independent data points, while the second results in a contribution that is depth dependent. Predicted errors were tested by scanning tissue mimicking phantoms and estimating attenuation and backscatter coefficients for subsets of the digitized echo data. Standard deviations of the experimental results were in agreement with those predicted.