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Main Authors: Wang, Tianheng, Roumeliotis, Stergios I.
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2403.08177
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author Wang, Tianheng
Roumeliotis, Stergios I.
author_facet Wang, Tianheng
Roumeliotis, Stergios I.
contents In this paper, we address the problem of estimating the rotational extrinsics, as well as the scale factors of two gyroscopes rigidly mounted on the same device. In particular, we formulate the problem as a least-squares minimization and introduce a direct algorithm that computes the estimated quantities without any iterations, hence avoiding local minima and improving efficiency. Furthermore, we show that the rotational extrinsics are observable while the scale factors can be determined up to global scale for general configurations of the gyroscopes. To this end, we also study special placements of the gyroscopes where a pair, or all, of their axes are parallel and analyze their impact on the scale factors' observability. Lastly, we evaluate our algorithm in simulations and real-world experiments to assess its performance as a function of key motion and sensor characteristics.
format Preprint
id arxiv_https___arxiv_org_abs_2403_08177
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A Direct Algorithm for Multi-Gyroscope Infield Calibration
Wang, Tianheng
Roumeliotis, Stergios I.
Robotics
In this paper, we address the problem of estimating the rotational extrinsics, as well as the scale factors of two gyroscopes rigidly mounted on the same device. In particular, we formulate the problem as a least-squares minimization and introduce a direct algorithm that computes the estimated quantities without any iterations, hence avoiding local minima and improving efficiency. Furthermore, we show that the rotational extrinsics are observable while the scale factors can be determined up to global scale for general configurations of the gyroscopes. To this end, we also study special placements of the gyroscopes where a pair, or all, of their axes are parallel and analyze their impact on the scale factors' observability. Lastly, we evaluate our algorithm in simulations and real-world experiments to assess its performance as a function of key motion and sensor characteristics.
title A Direct Algorithm for Multi-Gyroscope Infield Calibration
topic Robotics
url https://arxiv.org/abs/2403.08177