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. 2025 Jan 4;25(1):253. doi: 10.3390/s25010253

Table 1.

Emerging magnetic-based localization strategies.

Ref (Year) Technique/
Algorithm
WC, EC Validation Environment Error/Accuracy Notes
[27] (2023) Active Locomotion/
Jacobian-based iterative method
WC: IMU + 3-axis magnetic field sensor, EC: External PM Experimental evaluation: Different translational and rotational motion Average Positional Error (PE): 6.29 mm, Average Orientation Error (OE): 2.93° 6 DoF reported and magnetic moment is optimized for the magnetic dipole model.
[28] (2022) Active Locomotion/direct estimation + Kalman filter WC: IPM + BLE + IMU EC: 5 × 5 Hall sensors Experimental evaluation: work ranges from 25 to 72 mm Mean AE: 1.46 mm, Mean OE: 0.41° 6 DoF reported and, instead of using a PM, a magnetic capsule shell is proposed.
[29] (2020) Passive Locomotion/Jacobian matrix WC: IPM, EC: 4 triple-axis sensors Experimental evaluation Mean PE: 2.1 ± 0.8 mm, Mean OE: 6.7 ± 4.3° Triple-axis sensors were utilized with the Jacobian method to achieve 5 DoF localization.
[31] (2023) Active Locomotion/PSO + L-M WC: IPM EC: Hall effect sensors Experimental evaluation: static and dynamic Mean AE: 1.46 mm, Mean OE: 0.41° Fast tracking and 6 DoF localization are reported by combining the algorithms.
[32] (2019) Passive Locomotion/ Variance-based algorithm WC: IPM EC: 16 Hall effect sensor + IMU Experimental evaluation: static capsule Average PE: 9.73 mm, Average OE: 12° The variance-based algorithm combined with weighted optimization is used to achieve 6 DoF localization.
[33] (2022) Passive Locomotion/Fusion algorithm WC: IPM EC: 36 Hall effect sensor + IMU Experimental evaluation Average PE: 1.8 mm, Average OE: 5.11° The fusion algorithm calculates the quaternion rotation and 6 DoF localization is reported.
[34] (2021) Active Locomotion/L-M + differential signals WC: IPM EC: 16 tri-axis sensors Experimental evaluation: static and dynamic motion PE: 7.5 mm, Average OE: 13.8° A symmetrically arranged cell of four sensors combined with different algorithms are used to achieve 6 DoF localization.
[35] (2022) Passive Locomotion/L-M WC: IPM EC: 12 Hall effect sensors Experimental evaluation with different magnets Relative PE: 4.3 ± 3.3 mm, Relative OE: 2 ± 0.6° Neodymium N52 cylindrical permanent magnets with different diameters are used to achieve 6 DoF localization.
[36] (2021) Active Locomotion/Differential method WC: IPM EC: 8 Hall effect sensors Experimental evaluation: multi-point simultaneous tracking Average PE: 4.06 ± 0.29 mm, Relative OE: 5.63 ± 4.24° The reported calculation time is 80 ms, and the algorithm can compensate for patients’ movements for 5 DoF localization.
[40] (2022) Passive Locomotion WC: IPM EC: 12 sensors, + orthogonal coils Experimental evaluation: Dynamic magnetic field Mean PE: 3.8 ± 1.1 mm, Maximum OE: 3° The system used two orthogonal reference coils alternately switching on and off with a low switching speed for 6 DoF localization.
[41] (2021) Active Locomotion/RMSD WC: IPM + tri-axial sensors EC: 4 electromagnets Experimental evaluation: Dynamic and static magnetic fields Position accuracy (PA): 5 mm, Orientation accuracy (OA) 5° The optimization process utilized a dual-step approach for 6 DoF localization.
[45] (2021) Active Locomotion/Linear prediction WC: RX coils EC: TX coils Experimental evaluation: Dynamic magnetic field PE: 12 mm A dual-purpose use of WPT, not only for powering the capsule, but also for 3 DoF localization within the GI tract, is proposed.
[46] (2024) Passive Locomotion/LSE, SD WC: Orthogonal Coils EC: TPT Experimental: VNA Measurement Accuracy < 1 cm The study utilizes QS-MI for precise localization, and the method is validated through simulation and VNA measurements.
[47] (2020) Active Locomotion/L-M + PSO WC: Induction coil EC: Electromagnets Experimental evaluation: Dynamic and static magnetic fields Average PE: 2.3 mm, Average OE 0.2° An innovative feature of the methodology is the use of nine-channel sinusoidal signals to stimulate the transmitting coils for 6 DoF localization.
[48] (2024) Passive Locomotion/L-M WC: Induction coil + AFE + Modulator EC: 8 TX coils Experimental evaluation: Dynamic magnetic fields PA: 0.8 mm, OE 1.1° On-chip sensing method utilizing CMOS 65 nm technology for a compact and cheap design for 5 DoF localization.
[51] (2023) Passive Locomotion/FDMML + Welch’s method + ANNs WC: Induction coil + wireless TX + battery EC: 6 TX coils Experimental evaluation: Dynamic magnetic fields PA: <1mm The FDMML technique assigns unique offset frequencies to external magnetic beacons, allowing them to operate simultaneously and eliminating the need for sequential activation.