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Terahertz Signal Classification Based on Geometric Algebra

Zhou, Shengling; Valchev, Dimitar G.; Dinovitser, Alex; Chappell, James M.; Iqbal, Azhar; Ng, Brian W-H.; Kee, Tak W. and Abbott, Derek (2016). Terahertz Signal Classification Based on Geometric Algebra. IEEE Transactions on Terahertz Science and Technology, 6(6) pp. 793–802.

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This paper presents an approach to classification of substances based on their terahertz spectra. We use geometric algebra to provide a concise mathematical means for attacking the classification problem in a coordinate-free form. For the first time, this allows us to perform classification independently of dispersion and, hence, independently of the transmission path length through the sample. Finally, we validate the approach with experimental data. In principle, the coordinate-free transformation can be extended to all types of pulsed signals, such as pulsed microwaves or even acoustic signals in the field of seismology. Our source code for classification based on geometric algebra is publicly available at:

Item Type: Journal Item
Copyright Holders: 2016 IEEE
ISSN: 2156-3446
Project Funding Details:
Funded Project NameProject IDFunding Body
Not Set2016YFC0502301National Key R&D program of China
Not SetXDJK2014c132Fundamental Research Funds for the Central Universities
Not SetFT120100351The Australian Research Council
2014 European Fellowship SchemeNot SetThe Group of Eight Australia
2015 China Scholarship Council SchemeNot SetChina Scholarship Council
Keywords: classification; geometric algebra; multivectors; spectroscopy; Terahertz
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Engineering and Innovation
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 60109
Depositing User: Dimitar Valchev
Date Deposited: 26 Mar 2019 10:47
Last Modified: 03 Jun 2019 17:42
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