A Truncated Singular Value Decomposition approach for locating a magnetic dipole with Euler's equation

作者：Higuchi Yusuke^*; Nara Takaaki; Ando Shigeru

来源：International Journal of Applied Electromagnetics and Mechanics, 2016, 52(1-2): 67-72.

DOI：10.3233/JAE-162202

• Inverse problem
• magnetic dipole
• Euler's equation

It is known that Euler's homogeneity equation provides a system of linear equations for localizing a magnetic dipole from measurements of the magnetic field and its gradients. In this paper, we show that a solution of the equations obtained by Truncated Singular Value Decomposition (TSVD) always gives the true position of the dipole regardless of the singularity of the coefficient matrix. Hence, we can localize a magnetic dipole robustly without estimation bias by TSVD.

• 出版日期2016