Real-time calculation of a limiting form of the Renyi entropy applied to detection of subtle changes in scattering architecture

M. S. Hughes, J. E. McCarthy, M. V. Wickerhauser, J. N. Marsh, J. M. Arbeit, R. W. Fuhrhop, K. D. Wallace, T. Thomas, J. Smith, K. Agyem, G. M. Lanza, S. A. Wickline

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14 Scopus citations

Abstract

Previously a new method for ultrasound signal characterization using entropy H f was reported, and it was demonstrated that in certain settings, further improvements in signal characterization could be obtained by generalizing to Renyi entropy-based signal characterization I f (r) with values of r near 2 (specifically r=1.99) [M. S. Hughes, J. Acoust. Soc. Am. 125, 3141-3145 (2009)]. It was speculated that further improvements in sensitivity might be realized at the limit r→2. At that time, such investigation was not feasible due to excessive computational time required to calculate I f (r) near this limit. In this paper, an asymptotic expression for the limiting behavior of I f (r) as r→2 is derived and used to present results analogous to those obtained with I f (1.99). Moreover, the limiting form If,∞ is computable directly from the experimentally measured waveform f (t) by an algorithm that is suitable for real-time calculation and implementation.

Original languageEnglish
Pages (from-to)2350-2358
Number of pages9
JournalJournal of the Acoustical Society of America
Volume126
Issue number5
DOIs
StatePublished - 2009

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