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arXiv · 2411.05018

Biquaternion Signal Processing for Nonlinear Ultrasonics

Sadataka Furui·Serge Dos Santos
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Abstract

Localization and classification of scattered nonlinear ultrasonic signatures in 2 dimensional complex damaged media using Time Reversal based Nonlinear Elastic Wave Spectroscopy (TR-NEWS) approach is extended to 3 dimensional complex damaged media. In (2+1)D, i.e. space 2 dimensional time 1 dimensional spacetime, we used quaternion bases for analyses, while in (3+1)D, we use biquaternion bases. The optimal weight function of the path of ultrasonic wave in (3+1)D lattice is obtained by using the Echo State Network (ESN) which is a Machine Learning technique. The hysteresis effect is incorporated by using the Preisach-Mayergoyz model.

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Sadataka Furui, Serge Dos Santos. 2024-10-24. Biquaternion Signal Processing for Nonlinear Ultrasonics. https://arxiv.org/abs/2411.05018

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