TY - JOUR
T1 - Statistics associated with the scattering of ultrasound from microstructure
AU - Song, Yongfeng
AU - Kube, Christopher M.
AU - Turner, Joseph A.
AU - Li, Xiongbing
N1 - Funding Information:
This work was supported by the National Natural Science Foundation of China [grant numbers 51575541, 5161101582] and the Hunan Provincial Innovation Foundation for Postgraduate [grant number CX2017B051]. The authors would like to thank Prof. Zuoxiang Peng from Southwest University in China for the valuable discussion on the proof of the extreme value distribution.
Publisher Copyright:
© 2017 Elsevier B.V.
PY - 2017/9/1
Y1 - 2017/9/1
N2 - The spatial statistics of an ensemble of waveforms containing ultrasonic scattering from microstructure are investigated. The standard deviation of the waveforms is of primary interest, because it is related to the maximum scattering amplitudes in the extreme value statistics theory. Further statistical measures are employed to define theoretical confidence bounds, which bound the experimentally calculated maximum amplitude when a finite number of waveforms are included in the ensemble. These statistical measures are applied in conjunction with a previously developed ultrasonic backscatter model. It is validated through ultrasonic scattering measurements performed on a stainless-steel pipe sample. These considerations are important for forward models related to the probability of detection (POD) of defects and inverse models used for characterization of polycrystalline microstructures.
AB - The spatial statistics of an ensemble of waveforms containing ultrasonic scattering from microstructure are investigated. The standard deviation of the waveforms is of primary interest, because it is related to the maximum scattering amplitudes in the extreme value statistics theory. Further statistical measures are employed to define theoretical confidence bounds, which bound the experimentally calculated maximum amplitude when a finite number of waveforms are included in the ensemble. These statistical measures are applied in conjunction with a previously developed ultrasonic backscatter model. It is validated through ultrasonic scattering measurements performed on a stainless-steel pipe sample. These considerations are important for forward models related to the probability of detection (POD) of defects and inverse models used for characterization of polycrystalline microstructures.
KW - Extreme value statistics
KW - Grain noise
KW - Ultrasonic scattering
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U2 - 10.1016/j.ultras.2017.05.002
DO - 10.1016/j.ultras.2017.05.002
M3 - Article
C2 - 28499125
AN - SCOPUS:85019030042
SN - 0041-624X
VL - 80
SP - 58
EP - 61
JO - Ultrasonics
JF - Ultrasonics
ER -