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Open AccessJournal ArticleDOI

Heading Estimation Using Ultra-Wideband Received Signal Strength and Gaussian Processes

TLDR
In this paper, a Gaussian process is used to learn a data-driven relationship from UWB range and RSS inputs to orientation outputs, which is then combined with a gyroscope in an invariant extended Kalman filter.
Abstract
It is essential that a robot has the ability to determine its position and orientation to execute tasks autonomously. Heading estimation is especially challenging in indoor environments where magnetic distortions make magnetometer-based heading estimation difficult. Ultra-wideband (UWB) transceivers are common in indoor localization problems. This letter experimentally demonstrates how to use UWB range and received signal strength (RSS) measurements to estimate robot heading. The RSS of a UWB antenna varies with its orientation. As such, a Gaussian process (GP) is used to learn a data-driven relationship from UWB range and RSS inputs to orientation outputs. Combined with a gyroscope in an invariant extended Kalman filter, this realizes a heading estimation method that uses only UWB and gyroscope measurements.

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References
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TL;DR: The treatment is comprehensive and self-contained, targeted at researchers and students in machine learning and applied statistics, and deals with the supervised learning problem for both regression and classification.
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Aided Navigation: GPS with High Rate Sensors

TL;DR: Filled with detailed illustrations and examples, this expert design tool takes you step-by-step through coordinate systems, deterministic and stochastic modeling, optimal estimation, and navigation system design.
MonographDOI

Ultra-wideband Positioning Systems: Theoretical Limits, Ranging Algorithms, and Protocols

TL;DR: This title provides detailed coverage of UWB positioning systems, offering comprehensive treatment of signal and receiver design for ranging, range estimation techniques, theoretical performance bounds, ranging algorithms and protocols.
Journal ArticleDOI

The Invariant Extended Kalman Filter as a Stable Observer

TL;DR: In this article, the authors analyzed the convergence aspects of the invariant extended Kalman filter (IEKF) when the latter is used as a deterministic nonlinear observer on Lie groups, for continuous-time systems with discrete observations.
Posted Content

A micro Lie theory for state estimation in robotics

TL;DR: This paper will walk through the most basic principles of the Lie theory, with the aim of conveying clear and useful ideas, and leave a significant corpus of theLie theory behind.
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