Gou, X.M., Liu, Z.W., Liu, W. orcid.org/0000-0003-2968-2888 et al. (1 more author) (2016) Filtering and Tracking with Trinion-Valued Adaptive Algorithms. Frontiers of Information Technology & Electronic Engineering, 17 (8). pp. 834-840. ISSN 2095-9184
Abstract
A new model for three-dimensional processes based on the trinion algebra is introduced for the first time. Compared with the pure quaternion model, the trinion model is more compact and computationally more efficient, while having similar or comparable performance in terms of adaptive linear filtering. Moreover, the trinion model can effectively represent the general relationship of state evolution in Kalman filtering, where the pure quaternion model fails. Simulations on real-world wind recordings and synthetic data sets are provided to demonstrate the potentials of this new modeling method.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2016 Zhejiang University and Springer-Verlag Berlin Heidelberg 2016. This is an author produced version of a paper subsequently published in Frontiers of Information Technology & Electronic Engineering. Uploaded in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Electronic and Electrical Engineering (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 12 Jul 2016 15:13 |
Last Modified: | 09 Aug 2017 18:58 |
Published Version: | http://dx.doi.org/10.1631/FITEE.1601164 |
Status: | Published |
Publisher: | Springer |
Refereed: | Yes |
Identification Number: | 10.1631/FITEE.1601164 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:101426 |