An investigation of the measurement of Broadband Ultrasonic Attenuation in trabecular bone

Commercial devices for the ultrasonic characterisation of bone normally report the broadband ultrasonic attenuation (BUA). This is the slope of the attenuation against frequency in some part of the frequency range 200-1000 kHz. The assumption is that the relationship is linear and hence independent of the frequency range selected. In this study the ultrasonic attenuation in the frequency range 200 to 800 kHz was measured with a variety of transducers in ten trabecular heel bone samples from elderly cadavers, assumed to be osteoporotic. The results indicate that the attenuation fits better to a second order polynomial function of frequency, than to the linear fit. The use of a straight line fit is only satisfactory in the higher frequency ranges (above 400 kHz). The use of lower frequencies results in a significant measurement error caused by the combination of a poor signal to noise ratio and the departure from linearity and this is greatest for samples with low attenuation. In the worst cases this can amount to a 30% discrepancy between the BUA values measured over different frequency ranges.