Computing Quaternion Fourier Transform Using Algebraic Method

摘要：

　　In this paper we point out that using Euler”s formula ejθ=cosθ+jsinθand formula eAeB=eA+B+2/1｛A,B｝can largely simplify the evaluation of complex and hyper-complex Fourier transform by turning the multiplicationsof quaternion directly into matrices’addition, thus the numerical process is simplified successively.Additionally,we use a special algebraic summation conventionto reduce the complexity of non-commutivity incalculating the quaternion Fourier transform and the discrete quaternion Fourier transform. This technique isexpected to simplify further the corresponding numerical programme.

关键词： quaternion Fourier transform Euler”s formula summation convention image process signal analysis

作者: Dan WANG GuiJun NIAN Ke WANG

作者单位: School of Physics Jilin University Changchun 130012, China School of Communication Engineering Jilin School of Physics Jilin University Changchun 130012, China School of Communication Engineering Jilin University Changchun 130012, China

会议类型: 国内会议

会议名称: 2011年青年通信国际会议(ICYC2011)

会议地点: 澳门

会议语种:英文

页码: 5-8

在线出版日期: 2011-07-22（万方平台首次上网日期，不代表论文的发表时间）