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多电偶极子源定位问题的矩阵分析
Matrix Analysis of Poly-Dipole Source Localization
【摘要】 电偶极子源定位问题,对于脑认知功能的研究十分重要.本文应用矩阵理论及电偶极子产生电场的封闭形式对多电偶极子源的定位问题进行了研究,导出了确定多个电偶极子源位置的矩阵方程,该矩阵是一种子矩阵为方阵的分块矩阵.找到了分块矩阵的逆矩阵表达式,从而为多个电偶极子源定位问题找到了一种有效分析方法.
【Abstract】 The research of dipole source localization has great significance and importance for both clinical and research applications,such as using electroenc ephalo-graph(EEG) recordings from the scalp is widely used for the localization of source of electrical activity in the brain.Using the closed formula that describes the electric field of dipoles at arbitrary position and the matrix method,the poly-dipole sources localization is studied.The matrix equations which are used for localizing poly-dipoles are presented,every element of this matrix is square-matrix.This paper presents an expression of the inverse-matrix.In this way,the inverse-matrix of N×N block-matrix is got,and then we find an effective way for the poly-dipole source localization.
- 【文献出处】 北京交通大学学报 ,Journal of Beijing Jiaotong University , 编辑部邮箱 ,2008年03期
- 【分类号】R318
- 【被引频次】7
- 【下载频次】211