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Related Experiment Video

Updated: Dec 24, 2025

Three-dimensional Super Resolution Microscopy of F-actin Filaments by Interferometric PhotoActivated Localization Microscopy iPALM

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Self-Calibration for the Time Difference of Arrival Positioning.

Juri Sidorenko^1,2, Volker Schatz¹, Dimitri Bulatov¹

¹Fraunhofer Institute of Optronics, System Technologies and Image Exploitation IOSB, 76275 Ettlingen, Germany.

Sensors (Basel, Switzerland)

|April 11, 2020

Summary

This study introduces dimension lifting to improve time-difference-of-arrival self-calibration, reducing local minima issues in indoor navigation systems like UWB and LPM.

Keywords:

dimension lifting self-calibration time-difference-of-arrival (TDOA)

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Area of Science:

Localization and Navigation
Signal Processing
Optimization Techniques

Background:

Time-difference-of-arrival (TDOA) self-calibration is crucial for applications like indoor navigation.
Current nonlinear optimization methods often suffer from convergence to local minima, limiting accuracy.

Purpose of the Study:

To propose a novel dimension lifting method to enhance TDOA self-calibration.
To mitigate the problem of optimization algorithms getting stuck in local minima.

Main Methods:

Introduced dimension lifting by adding a variable to the objective function's l 2 norm.
Developed a partially-analytical method that overdetermines the system of equations.
Validated the approach using both synthetic and real measurement data.

Main Results:

The dimension lifting method significantly reduces the likelihood of convergence to local minima.
Experiments were conducted on DecaWave Ultra-Wideband (UWB) and Abatec Local Position Measurement (LPM) systems.
Both synthetic and real-world data confirmed the effectiveness of the proposed approach.

Conclusions:

The proposed dimension lifting technique offers a robust solution for TDOA self-calibration.
This method improves the reliability of localization systems by avoiding local minima.
The approach is effective for common systems like UWB and LPM, enhancing indoor navigation accuracy.