Filtering and tracking with trinion-valued adaptive algorithms

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.

Aircraft trajectory filtering method based on Gaussian‐sum and maximum correntropy square‐root cubature Kalman filter

“…They can be filtered and estimated through target motion to obtain the final accurate position of the aircraft [1,2]. Solving the filtering problem, especially the filtering of manoeuvring targets, is an important part of the target tracking process and has been widely used in military and civilian fields such as aerospace and surveying [3][4][5]. In the actual test system, due to the limitation of test methods, test environment and other factors, the measurement may include abnormal values in addition to noise.…”