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Entropy 2015, 17(10), 6598-6616;

Ultrasound Detection of Scatterer Concentration by Weighted Entropy

Department of Medical Imaging and Radiological Sciences, College of Medicine, Chang Gung University, Taoyuan 33302, Taiwan
Medical Imaging Research Center, Institute for Radiological Research, Chang Gung University and Chang Gung Memorial Hospital at Linkou, Taoyuan 33302, Taiwan
Department of Electrical Engineering, Chang Gung University, Taoyuan 33302, Taiwan 
Academic Editor: Raúl Alcaraz Martínez
Received: 22 April 2015 / Revised: 18 September 2015 / Accepted: 23 September 2015 / Published: 25 September 2015
(This article belongs to the Section Information Theory)
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Ultrasound backscattering signals depend on the microstructures of tissues. Some studies have applied Shannon entropy to analyze the uncertainty of raw radiofrequency (RF) data. However, we found that the sensitivity of entropy in detecting various scatterer concentrations is limited; thus, we propose a weighted entropy as a new information entropy-based approach to enhance the performance of scatterer characterization. A standard simulation model of ultrasound backscattering was used to generate backscattered RF signals with different number densities of scatterers. The RF signals were used to estimate the weighted entropy according to the proposed algorithmic scheme. The weighted entropy increased from 0.08 to 0.23 (representing a dynamic range of 0.15) when the number density of scatterers increased from 2 to 32 scatterers/mm2. In the same range of scatterer concentration, the conventional entropy increased from 0.16 to 0.19 (a dynamic range of 0.03). The results indicated that the weighted entropy enables achieving a more sensitive detection of the variation of scatterer concentrations by ultrasound. View Full-Text
Keywords: information entropy; weighted entropy; ultrasound information entropy; weighted entropy; ultrasound

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Tsui, P.-H. Ultrasound Detection of Scatterer Concentration by Weighted Entropy. Entropy 2015, 17, 6598-6616.

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