Uncertainty-aware Gaussian Mixture Model for UWB Time Difference of Arrival Localization in Cluttered Environments

Ultra-wideband (UWB) time difference of arrival(TDOA)-based localization has emerged as a low-cost and scalable indoor positioning solution. However, in cluttered environments, the performance of UWB TDOA-based localization deteriorates due to the biased and non-Gaussian noise distributions induced by obstacles. In this work, we present a bi-level optimization-based joint localization and noise model learning algorithm to address this problem. In particular, we use a Gaussian mixture model (GMM) to approximate the measurement noise distribution. We explicitly incorporate the estimated state's uncertainty into the GMM noise model learning, referred to as uncertainty-aware GMM, to improve both noise modeling and localization performance. We first evaluate the GMM noise model learning and localization performance in numerous simulation scenarios. We then demonstrate the effectiveness of our algorithm in extensive real-world experiments using two different cluttered environments. We show that our algorithm provides accurate position estimates with low-cost UWB sensors, no prior knowledge about the obstacles in the space, and a significant amount of UWB radios occluded.

UTIL: An Ultra-wideband Time-difference-of-arrival Indoor Localization Dataset

This paper presents an ultra-wideband (UWB) time-difference-of-arrival (TDOA) dataset collected from a quadrotor for research purposes. The dataset consists of low-level signal information from static experiments and UWB TDOA measurements and additional onboard sensor data from flight experiments on a quadrotor. The data collection process is discussed in detail, including the equipment used, measurement collection procedure, and the calibration of the quadrotor platform. All the data is made available as plain text files and we provide both Matlab and Python scripts to parse and analyze the data. We provide a thorough description of the data format and some pointers on the potential usage of each sub-dataset. The dataset is available for download at https://utiasdsl.github.io/util-uwb-dataset/. We hope this dataset will help researchers develop and compare reliable estimation methods for the emerging UWB TDOA-based indoor localization technology.