Optimization of Sensor Positions in Magnetic Tracking
In recent years, magnetic tracking has been applied in many biomedical settings due
to the transparency of the human body to low-frequency magnetic fields. One way
to improve system performance and/or reduce system cost is to optimize the sensor
positions of the tracking system.
In this work, the sensor positions of a magnetic tracking system are optimized by
exploiting an analytical model where the transmitting and sensing coils of the system
are approximated by magnetic dipoles.
In order to compare different sensor array layouts, two performance measures based
on the Fisher information matrix are discussed and compared for the optimization of
the sensor positions of a circular sensor array. Furthermore, the sensor positioning
problem is formulated as an optimization problem which is cast as a sensor selection
problem. The sensor selection problem is solved for a planar sensor array by the
application of a convex relaxation. Several transmitter positions are considered and
general results are established for the dependence of the optimal sensor positions on
the transmitter’s position and orientation.
Fisher Information Matrix
Optimal Sensor Placement