A Clifford Algebra Analysis Method of THz-TDS Images

摘要：

A novel Clifford Algebra analysis method of terahertz time domain spectroscopy (THz-TDS) images is presented,which is based on the physical basis of the THz-TDS transmission system.Pixels in THz-TDS images,as well as the complex refractive indexes of materials in THz band,can be expressed as vectors in a high-dimensional space,or hyper-complex numbers in the Clifford Algebra.Based on that the magnitude and phase of the transfer function of the THz-TDS system are primarily governed by the materials intrinsic complex refractive index and its thickness,two functions are given to construct hyper-complex numbers in Clifford Algebra,and then several properties of data distributions in the THz-TDS signal vector space are discussed with Clifford Algebra analysis.Finally,experiments are given to show the potential of the proposed method.

关键词： THz-TDS Clifford Algebra hyper-complex number

作者: Weixin Xie Jing Li Jihong Pei

作者单位: School of Electronic Engineering,Xidian University,Xian 710071,P.R.China;Intelligent Information In Intelligent Information Institute,Shenzhen University,Shenzhen,518060,P.R.China

会议类型: 国际会议

会议名称: 9th International Conference on Signal Processing(第九届国际信号处理学术会议)(ICSP08)

会议地点: 北京

会议语种:英文

在线出版日期: 2008-10-26（万方平台首次上网日期，不代表论文的发表时间）