Semi-widely linear estimation algorithms of quaternion signals with missing observations and correlated noises

作者: Rosa María Fernández-Alcalá , Jesús Navarro-Moreno , José Domingo Jiménez-López , Juan Carlos Ruiz-Molina

DOI: 10.1016/J.JFRANKLIN.2020.02.012

关键词:

摘要: Abstract The paper deals with the estimation problem of a discrete-time vectorial quaternion signal which is observed through linear dynamic system intermittent observations and autocorrelated cross-correlated noises. Under C η -properness conditions, semi-widely processing considered to provide filtering, fixed-point fixed-lag smoothing algorithms for estimating state. proposed solutions give substantial reduction in computational burden relation widely techniques, this benefit being impossible be fully captured by using real number framework. feasibility performance aforementioned are illustrated means simulation examples.

参考文章(59)
Nicolas Le Bihan, The geometry of proper quaternion random variables Signal Processing. ,vol. 138, pp. 106- 116 ,(2017) , 10.1016/J.SIGPRO.2017.03.017
Nicolas Le Bihan, Cecile Cornou, Manuel Hobiger, Pierre-Yves Bard, Rayleigh wave ellipticity estimation from ambient seismic noise using single and multiple vector-sensor techniques european signal processing conference. pp. 2037- 2041 ,(2009) , 10.5281/ZENODO.41472
Xuebing Yuan, Shuai Yu, Shengzhi Zhang, Guoping Wang, Sheng Liu, Quaternion-based unscented Kalman filter for accurate indoor heading estimation using wearable multi-sensor system. Sensors. ,vol. 15, pp. 10872- 10890 ,(2015) , 10.3390/S150510872
Felipe Tobar, Danilo P. Mandic, Design of Positive-Definite Quaternion Kernels IEEE Signal Processing Letters. ,vol. 22, pp. 2117- 2121 ,(2015) , 10.1109/LSP.2015.2457294
Sangho Ko, Seungeun Kang, Jihyoung Cha, Performance comparison of covariance-assignment state estimators with intermittent observations International Journal of Control Automation and Systems. ,vol. 13, pp. 1391- 1401 ,(2015) , 10.1007/S12555-015-0004-4
S. Javidi, C. C. Took, D. P. Mandic, Fast Independent Component Analysis Algorithm for Quaternion Valued Signals IEEE Transactions on Neural Networks. ,vol. 22, pp. 1967- 1978 ,(2011) , 10.1109/TNN.2011.2171362
Christoph Hertzberg, René Wagner, Udo Frese, Lutz Schröder, Integrating generic sensor fusion algorithms with sound state representations through encapsulation of manifolds Information Fusion. ,vol. 14, pp. 57- 77 ,(2013) , 10.1016/J.INFFUS.2011.08.003
P. Ginzberg, A. T. Walden, Quaternion VAR Modelling and Estimation IEEE Transactions on Signal Processing. ,vol. 61, pp. 154- 158 ,(2013) , 10.1109/TSP.2012.2226170
Guobin Chang, On kalman filter for linear system with colored measurement noise Journal of Geodesy. ,vol. 88, pp. 1163- 1170 ,(2014) , 10.1007/S00190-014-0751-7