MODELLING ULTRASOUND IMAGING AS A LINEAR, SHIFT-VARIANT SYSTEM
James Ng, Richard Prager, Nick Kingsbury, Graham Treece and Andrew Gee
21 January 2005
We solve the equation that governs acoustic wave propagation in an inhomogeneous medium to show that the radio frequency ultrasound signal can be expressed as the result of filtering the tissue reflectivity by a point-spread function. We extend the analysis to make the link between the radio frequency ultrasound signal and the representation of ultrasound scatterers as small vectors with random phase in the complex plane. Others have previously performed parts of this analysis. The contribution of the present paper it to provide a single coherent treatment emphasizing the assumptions that have to be made and the physical consequences of the models derived. This leads to insights into the interaction of monopole and dipole scattering, useful techniques for simulating and analysing speckle statistics in the complex plane and a new expression for the normalised covariance of the analytic radio frequency ultrasound signal in terms of the complex envelope of the point-spread function.
If you have difficulty viewing files that end '.gz'
,
which are gzip compressed, then you may be able to find
tools to uncompress them at the gzip
web site.
If you have difficulty viewing files that are in PostScript, (ending
'.ps'
or '.ps.gz'
), then you may be able to
find tools to view them at
the gsview
web site.
We have attempted to provide automatically generated PDF copies of documents for which only PostScript versions have previously been available. These are clearly marked in the database - due to the nature of the automatic conversion process, they are likely to be badly aliased when viewed at default resolution on screen by acroread.