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CLC number: TN911.7

On-line Access: 2016-08-05

Received: 2016-04-13

Revision Accepted: 2016-06-24

Crosschecked: 2016-07-11

Cited: 1

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Citations:  Bibtex RefMan EndNote GB/T7714


Wei Liu


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Frontiers of Information Technology & Electronic Engineering  2016 Vol.17 No.8 P.834-840


Filtering and tracking with trinion-valued adaptive algorithms

Author(s):  Xiao-ming Gou, Zhi-wen Liu, Wei Liu, You-gen Xu

Affiliation(s):  School of Information and Electronics, Beijing Institute of Technology, Beijing 100081, China; more

Corresponding email(s):   w.liu@sheffield.ac.uk

Key Words:  Three-dimensional processes, Trinion, Least mean squares, Kalman filter

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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.

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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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