Previous studies show that first-order statistical properties of ultrasound
echo signals are related to the effective number of scatterers in the "res
olution cell" of a pulse-echo ultrasound system. When the effective number
of scatterers is large (similar to 10 or more) this results in echo signals
whose amplitude follows a Rayleigh distribution, with the RF echo signal o
beying Gaussian statistics; deviation from Rayleigh or Gaussian statistics
yields information on scatterer number densities. In this paper, the influe
nce of the medium's attenuation on non-Gaussian properties of the echo sign
al is considered. Preferential attenuation of higher frequency components o
f a pulsed ultrasound beam effectively broadens the beam and increases the
resolution cell size. Thus, the resultant non-Gaussian parameter for broad
bandwidth excitation of the transducer depends not only on the scatterer nu
mber density but also on the attenuation in the medium. These effects can b
e reduced or eliminated by using narrow-band experiments.