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Microstructure identification via detrended fluctuation analysis of ultrasound signals

Paulo G. Normando, Romão S. Nascimento, Elineudo P. Moura, and André P. Vieira
Phys. Rev. E 87, 043304 – Published 5 April 2013; Erratum Phys. Rev. E 94, 059903 (2016)
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Abstract

We describe an algorithm for simulating ultrasound propagation in random one-dimensional media, mimicking different microstructures by choosing physical properties such as domain sizes and mass densities from probability distributions. By combining a detrended fluctuation analysis (DFA) of the simulated ultrasound signals with tools from the pattern-recognition literature, we build a Gaussian classifier which is able to associate each ultrasound signal with its corresponding microstructure with a very high success rate. Furthermore, we also show that DFA data can be used to train a multilayer perceptron which estimates numerical values of physical properties associated with distinct microstructures.

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  • Received 21 December 2012

DOI:https://doi.org/10.1103/PhysRevE.87.043304

©2013 American Physical Society

Erratum

Erratum: Microstructure identification via detrended fluctuation analysis of ultrasound signals [Phys. Rev. E 87, 043304 (2013)]

Paulo G. Normando, Romão S. Nascimento, Elineudo P. Moura, and André P. Vieira
Phys. Rev. E 94, 059903 (2016)

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Ultrasound Signal Reveals Microstructure

Published 5 April 2013

A model for analyzing materials using ultrasound shows that the seemingly random fluctuations in the data may contain information about the microscopic structure.

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Authors & Affiliations

Paulo G. Normando, Romão S. Nascimento, and Elineudo P. Moura*

  • Departamento de Engenharia Metalúrgica e de Materiais, Universidade Federal do Ceará, 60455-760, Fortaleza, CE, Brazil

André P. Vieira

  • Instituto de Física, Universidade de São Paulo, Caixa Postal 66318, 05314-970, São Paulo, SP, Brazil

  • *elineudo@ufc.br
  • apvieira@if.usp.br

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Issue

Vol. 87, Iss. 4 — April 2013

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