CLC number: TN911.7
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 2016-07-11
Cited: 1
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Xiao-ming Gou, Zhi-wen Liu, Wei Liu, You-gen Xu. Filtering and tracking with trinion-valued adaptive algorithms[J]. Frontiers of Information Technology & Electronic Engineering, 2016, 17(8): 834-840.
@article{title="Filtering and tracking with trinion-valued adaptive algorithms",
author="Xiao-ming Gou, Zhi-wen Liu, Wei Liu, You-gen Xu",
journal="Frontiers of Information Technology & Electronic Engineering",
volume="17",
number="8",
pages="834-840",
year="2016",
publisher="Zhejiang University Press & Springer",
doi="10.1631/FITEE.1601164"
}
%0 Journal Article
%T Filtering and tracking with trinion-valued adaptive algorithms
%A Xiao-ming Gou
%A Zhi-wen Liu
%A Wei Liu
%A You-gen Xu
%J Frontiers of Information Technology & Electronic Engineering
%V 17
%N 8
%P 834-840
%@ 2095-9184
%D 2016
%I Zhejiang University Press & Springer
%DOI 10.1631/FITEE.1601164
TY - JOUR
T1 - Filtering and tracking with trinion-valued adaptive algorithms
A1 - Xiao-ming Gou
A1 - Zhi-wen Liu
A1 - Wei Liu
A1 - You-gen Xu
J0 - Frontiers of Information Technology & Electronic Engineering
VL - 17
IS - 8
SP - 834
EP - 840
%@ 2095-9184
Y1 - 2016
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/FITEE.1601164
Abstract: A new model for three-dimensional processes based on the trinion algebra is introduced for the first time. Compared to 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 potential of this new modeling method.
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