Multipole characterization of a magnetic source using a truncated SVD

Author

Kamondetdacha, Rungkiet ; Kildishev, Alexander V. ; Nyenhuis, John A.

Author_Institution

Sch. of Electr. & Comput. Eng., Purdue Univ., West Lafayette, IN, USA

Volume

40

Issue

4

fYear

2004

fDate

7/1/2004 12:00:00 AM

Firstpage

2176

Lastpage

2178

Abstract

This paper presents a new technique for characterizing a magnetic source using truncated singular value decomposition (TSVD). It shows how the smallest singular value of the matrix of signature magnetic fields relates to the sensitivity of the restored multipoles to noises. The crosstalk and altercation due to the truncation of singular values are introduced as the parameters to determine an acceptable truncation limit. Numerical simulations with standard sources are tested using a rectangular array of magnetic field sensors. The results show that TSVD can greatly improve the accuracy of the field restoration.

Keywords

imaging; magnetic fields; magnetic sensors; singular value decomposition; altercation; crosstalk; field restoration; magnetic field sensors arrays; magnetic silencing; magnetic source; multipole characterization; multipole restoration; noise sensitivity; numerical simulations; prolate spheroidal harmonic; signature magnetic fields; truncated singular value decomposition; truncation limit; Crosstalk; Image restoration; Least squares methods; Magnetic field measurement; Magnetic noise; Magnetic sensors; Matrix decomposition; Pollution measurement; Sensor arrays; Singular value decomposition; Magnetic silencing; SVD; multipole restoration; prolate spheroidal harmonic; sensor array; singular value decomposition;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2004.832365

Filename

1325444