Optimal Estimation of Ultrasonic Information-theoretic Entropy: Principle, Simulation, and Applications to Biological Tissue
Date Issued
2010
Date
2010
Author(s)
Hu, Rui-Cheng
Abstract
To solve the problem that the parameter value of B-mode images can not be for quantitative analysis, and to overcome the shortcoming that statistical models can not deal with non-linear processing signals. Some researchers have suggested that we can use the information-theoretic entropy for calculation of the backscattering ultrasound signals, and quantify the scattering concentration. There are two reasons: first, information-theoretic entropy is not restricted to statistical models; second, some researchers have confirmed that the estimated value of information-theoretic entropy of non-linear processing signals can still quantify the concentration of tissue scattering.
Traditional entropy value increases with increasing of dynamic range of ADC devices (analogy-to-digital converter, ADC), and can not be a constant. Also, traditional entropy value have the saturation problem when dynamic range is too large. To overcome this problem, M.S. Hughes define a new Shannon entropy that only is relevant to the waveform property of signals. And the difference of any different "Shannon entropy of the continuous waveform" values will keep, even enter the saturation situation.
In this study, the entropy of the continuous waveform is the main research object. We would like to find the optimization of the parameters setting of the "Shannon entropy of the continuous waveform", and also test the ability of "Shannon entropy of the continuous waveform" by the quantitative experiment of scattering concentration and the experiment of biological tissue. The results show that "Shannon entropy of the continuous waveform" has a very good performance in both experiment.
In addition, this study defines relevant estimated parameters of "Fourier series method" of "Shannon entropy of the continuous waveform", discusses how those parameters affect on the estimation of entropy, and find the optimization of the parameters setting. The results of numerical simulation experiment, ultrasound simulation experiment, and tissue ablation experiment show that we can get pretty good results, but do without rigorous settings. Therefore, this study on "Fourier series method" of "Shannon entropy of the continuous waveform" provide a more efficient direction on searching estimated optimization.
Subjects
information-theoretic entropy
quantification of tissue scattering concentration of
tissue ablation
and. Fourier series method
Type
thesis
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