Comparison of Measurement Models for 3D Magnetic Localization and Tracking

In this paper, we consider magnetic positioning and tracking of objects and provide a comparison of the characteristics of two major measurement models: the magnetic dipole model and the mutual inductance model. The numerical results obtained by applying these models to a short-range position measurement application, with a maximum operating distance of approximately 50 cm, are compared. Based on the results of this comparison, a prototype 9-sensor array is developed, experimental tests are performed, and extensive measurement results are presented. Outcomes show the feasibility of tracking the position and orientation of a mobile coil in real time with a median positioning error below 1 cm and a worst-case error of about 2 cm and 11 degrees inside a spatial region of 30 × 30 × 30 cm3 operational volume.

[1]  Alessio De Angelis,et al.  Magnetic Field Analysis for 3-D Positioning Applications , 2017, IEEE Transactions on Instrumentation and Measurement.

[2]  Alessio De Angelis,et al.  Analysis of simultaneous 3D positioning and attitude estimation of a planar coil using inductive coupling , 2017, 2017 IEEE International Instrumentation and Measurement Technology Conference (I2MTC).

[3]  Antonio Moschitta,et al.  Positioning Techniques in Indoor Environments Based on Stochastic Modeling of UWB Round-Trip-Time Measurements , 2016, IEEE Transactions on Intelligent Transportation Systems.

[4]  Alessio De Angelis,et al.  Design and Characterization of a Portable Ultrasonic Indoor 3-D Positioning System , 2015, IEEE Transactions on Instrumentation and Measurement.

[5]  Juan C. García,et al.  Locally-Referenced Ultrasonic – LPS for Localization and Navigation , 2014, Sensors.

[6]  Wolfram Burgard,et al.  Probabilistic Robotics (Intelligent Robotics and Autonomous Agents) , 2005 .

[7]  S. Babic,et al.  Calculating Mutual Inductance Between Circular Coils With Inclined Axes in Air , 2008, IEEE Transactions on Magnetics.

[8]  Jeffrey K. Uhlmann,et al.  New extension of the Kalman filter to nonlinear systems , 1997, Defense, Security, and Sensing.

[9]  Marco Dionigi,et al.  Magnetic Field-Based Positioning Systems , 2017, IEEE Communications Surveys & Tutorials.

[10]  Rudolph van der Merwe,et al.  The unscented Kalman filter for nonlinear estimation , 2000, Proceedings of the IEEE 2000 Adaptive Systems for Signal Processing, Communications, and Control Symposium (Cat. No.00EX373).

[11]  Jonathan Kofman,et al.  Teleoperation of a robot manipulator using a vision-based human-robot interface , 2005, IEEE Transactions on Industrial Electronics.

[12]  Shuang Song,et al.  A Novel Positioning and Orientation System Based on Three-Axis Magnetic Coils , 2012, IEEE Transactions on Magnetics.

[13]  Thia Kirubarajan,et al.  Estimation with Applications to Tracking and Navigation: Theory, Algorithms and Software , 2001 .

[14]  Cevdet Akyel,et al.  Mutual Inductance Calculation between Misalignment Coils for Wireless Power Transfer of Energy , 2014 .

[15]  Abdelmoumen Norrdine,et al.  Towards a Decentralized Magnetic Indoor Positioning System , 2015, Sensors.

[16]  Shuang Song,et al.  An Efficient Magnetic Tracking Method Using Uniaxial Sensing Coil , 2014, IEEE Transactions on Magnetics.

[17]  Zivan Zabar,et al.  Mutual inductance of noncoaxial circular coils with constant current density , 1997 .

[18]  Paperno,et al.  3D magnetic tracking of a single subminiature coil with a large 2D-array of uniaxial transmitters , 2003, Digest of INTERMAG 2003. International Magnetics Conference (Cat. No.03CH37401).

[19]  U-Xuan Tan,et al.  Using heterogeneous sensory measurements in a compliant magnetic localization system for medical intervention , 2015, 2015 IEEE International Conference on Advanced Intelligent Mechatronics (AIM).

[20]  M. Abramowitz,et al.  Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables (National Bureau of Standards Applied Mathematics Series No. 55) , 1965 .

[21]  Rosdiadee Nordin,et al.  A Wireless Sensor Network with Soft Computing Localization Techniques for Track Cycling Applications , 2016, Sensors.

[22]  Leonardo Meli,et al.  Multi-contact bilateral telemanipulation using wearable haptics , 2016, 2016 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS).

[23]  John A. Nelder,et al.  A Simplex Method for Function Minimization , 1965, Comput. J..

[24]  Luis Orozco-Barbosa,et al.  An Empirical Study of the Transmission Power Setting for Bluetooth-Based Indoor Localization Mechanisms , 2017, Sensors.

[25]  Toshio Fukushima,et al.  Fast computation of complete elliptic integrals and Jacobian elliptic functions , 2009 .

[26]  Mauro Mongiardo,et al.  A Simple Ranging System Based on Mutually Coupled Resonating Circuits , 2013, IEEE Transactions on Instrumentation and Measurement.

[27]  S. Babic,et al.  Mutual Inductance Calculation Between Circular Filaments Arbitrarily Positioned in Space: Alternative to Grover's Formula , 2010, IEEE Transactions on Magnetics.

[28]  Peter H. Veltink,et al.  Ambulatory Position and Orientation Tracking Fusing Magnetic and Inertial Sensing , 2007, IEEE Transactions on Biomedical Engineering.