Three component magnetic field data: Impact on minimum norm solutions in a biomedical application

Abstract

Purpose

To demonstrate the improvement of three‐axial magnetic sensors systems for magnetocardiography when using minimum norm solutions (MNS).

Design/methodology/approach

The thesis is proved by using figures of merit and by means of repeated numerical simulations, starting from a BEM model for forward calculations.

Findings

We found out that both for under‐determined and over‐determined problems two figures of merit show better performance of a three‐axial sensor system when compared with two mono‐axial sensor systems. We also showed the positive impact of three component magnetic field data on MNS by means of repeated simulations.

Research limitations/implications

The analysis is limited to theoretical sensor systems and can be applied also to realistic measurement set‐ups. Noise is considered uncorrelated. The analysis could be carried out with the help of other figures of merit. More refined models for the human body could be adopted.

Practical implications

The use of three axial sensor systems is encouraged in the field of magnetocardiography.

Originality/value

Numerical analysis of inversion algorithms using three‐dimensional magnetic field data in magnetocardiography have been never carried out.

Citation

Di Rienzo, L., Haueisen, J. and Mario Arturi, C. (2005), "Three component magnetic field data: Impact on minimum norm solutions in a biomedical application", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 24 No. 3, pp. 869-881. https://doi.org/10.1108/03321640510598193