Filtering and tracking with trinion-valued adaptive algorithms

2016, Volume 17, Issue 8

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Frontiers of Information Technology & Electronic Engineering >> 2016, Volume 17, Issue 8 doi: 10.1631/FITEE.1601164

Filtering and tracking with trinion-valued adaptive algorithms

. School of Information and Electronics, Beijing Institute of Technology, Beijing 100081, China.. Communications Research Group, Department of Electronic and Electrical Engineering, University of Sheffield, Sheffield S1 3JD, UK

Available online: 2016-08-18

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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.

Keywords

Three-dimensional processes ; Trinion ; Least mean squares ; Kalman filter

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