Filter functions for computing multipole moments from the magnetic field normal to a plane.

Filter functions for computing multipole moments from the magnetic field normal to a plane.
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DOI:
10.1109/42.97587
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发表时间:
1991
影响因子:
10.6
通讯作者:
R. Alvarez
R. Alvarez
中科院分区:
工程技术1区
文献类型:
--
作者:
R. Alvarez

文献摘要

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描述了一种通过测量平面上磁场的法向分量来计算静磁多极矩(从而计算完整的生物磁信息)的技术。该技术包括将测量值乘以一组独特的滤波函数并进行积分。介绍了一种新的计算滤波函数的公式和方法。该方法使用基集展开和矩阵求逆。给出了矩阵非奇异性的证明。描述了将该技术应用于圆形电流环和球形导体中的电流偶极子的计算机模拟。
A technique for calculating the magnetostatic multipole moments (and therefore complete biomagnetic information) from measurements of the normal component of the magnetic field on a plane is described. The technique involves multiplying the measured values by a set of unique filtering functions and integrating. A new formulation and method for calculating the filtering functions is introduced. The method uses expansions in basis sets and matrix inversion. Proofs are given of the nonsingularity of the matrices. Computer simulations of the application of the technique to a circular current loop and a current dipole in a spherical conductor are described.