We introduce a theoretical lower error bound for magnetostatic linear inverse problem solutions and we propose it as a figure of merit for the comparative evaluation of sensor arrays. With the help of the proposed error bound, we demonstrate the superiority of three-axial biomagnetic sensor arrays applying Truncated Singular Value Decomposition analysis to a kernel matrix computed out of Boundary Element Method (BEM) models of the human torso for a biomagnetic application. In simulations, we found that for a more complex five compartment BEM the advantage of using three-axial measurements is more pronounced as compared to a three compartment BEM.

Theoretical Lower Error Bound for Comparative Evaluation of Sensor Arrays in Magnetostatic Linear Inverse Problems

DI RIENZO, LUCA;
2006-01-01

Abstract

We introduce a theoretical lower error bound for magnetostatic linear inverse problem solutions and we propose it as a figure of merit for the comparative evaluation of sensor arrays. With the help of the proposed error bound, we demonstrate the superiority of three-axial biomagnetic sensor arrays applying Truncated Singular Value Decomposition analysis to a kernel matrix computed out of Boundary Element Method (BEM) models of the human torso for a biomagnetic application. In simulations, we found that for a more complex five compartment BEM the advantage of using three-axial measurements is more pronounced as compared to a three compartment BEM.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/552903
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