
Proceedings Paper
An analysis of THz-TDS signals using geometric algebraFormat | Member Price | Non-Member Price |
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Paper Abstract
THz-TDS signals can be represented as vectors in a high dimensional vector space, which are hyper-complex numbers in
geometric algebra (GA). Using the language of GA, the properties of these vectors are theoretically analyzed and
demonstrate the projective character of THz-TDS signals. The tangential distance of vectors is used to measure the
difference of the corresponding THz-TDS signals. A novel imensionality reduction method via the projective split is
presented, by which vectors of THz-TDS signals can be linear mapped from a high dimensional space into a lower dimensional space. The projective split is recursively employed and linear maps the vector space of high dimension into a sequence of sub-spaces step by step. Experiments demonstrate the feasibility and accuracy of our method.
Paper Details
Date Published: 16 February 2009
PDF: 8 pages
Proc. SPIE 7277, Photonics and Optoelectronics Meetings (POEM) 2008: Terahertz Science and Technology, 72770E (16 February 2009); doi: 10.1117/12.820984
Published in SPIE Proceedings Vol. 7277:
Photonics and Optoelectronics Meetings (POEM) 2008: Terahertz Science and Technology
Jianquan Yao; Shenggang Liu; Xi-Cheng Zhang, Editor(s)
PDF: 8 pages
Proc. SPIE 7277, Photonics and Optoelectronics Meetings (POEM) 2008: Terahertz Science and Technology, 72770E (16 February 2009); doi: 10.1117/12.820984
Show Author Affiliations
Weixin Xie, Xidian Univ. (China)
Shenzhen Univ. (China)
Jing Li, Xidian Univ. (China)
Shenzhen Univ. (China)
Shenzhen Univ. (China)
Jing Li, Xidian Univ. (China)
Shenzhen Univ. (China)
Jihong Pei, Shenzhen Univ. (China)
Published in SPIE Proceedings Vol. 7277:
Photonics and Optoelectronics Meetings (POEM) 2008: Terahertz Science and Technology
Jianquan Yao; Shenggang Liu; Xi-Cheng Zhang, Editor(s)
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