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Proceedings Paper

An analysis of THz-TDS signals using geometric algebra
Author(s): Weixin Xie; Jing Li; Jihong Pei
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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
Show Author Affiliations
Weixin Xie, Xidian 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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