A Gaussian Framework for Modeling Effects of Frequency-Dependent Attenuation, Frequency-Dependent Scattering, and Gating

Keith A. Wear

ABSTRACT For a wide range of applications in medical ultrasound, power spectra of received signals are approximately Gaussian. It has been established previously that an ultrasound beam with a Gaussian spectrum propagating through a medium with linear attenuation remains Gaussian. In this paper, Gaussian transformations are derived to model the effects of scattering (according to a power law, as is commonly applicable in soft tissues, especially over limited frequency ranges) and gating (with a Hamming window, a commonly used gate function). These approximations are shown to be quite accurate even for relatively broad band systems with fractional bandwidths approaching 100%. The theory is validated by experiments in phantoms consisting of glass particles suspended in agar.

© 2002, by The Institute of Electrical and Electronics Engineers, Inc. All rights reserved.

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