Title
Unscented Kalman Filter With General Complex-Valued Signals
Abstract
For the estimation of real-valued Gaussian signals, the unscented Kalman filter (UKF) can provide a state estimate with second-order accuracy. However, when a general complex-valued system is considered, a direct extension of UKF from the real domain to the complex domain is inadequate, since the complementary covariance information associated with general improper complex-valued signals has been systematically ignored. To this end, in this work, we propose a general complex-valued unscented Kalman filter (GCUKF) algorithm which can be applied for both proper and improper signals. This is achieved by first proposing a novel sigma points selection scheme for the general complex-valued case, followed by a modified state update method to fully utilize both the innovation and its conjugate. A rigorous MSE analysis illustrates the superiority of the proposed state update method, and simulations support the analysis.
Year
DOI
Venue
2022
10.1109/LSP.2022.3207414
IEEE SIGNAL PROCESSING LETTERS
Keywords
DocType
Volume
Estimation, Signal processing algorithms, Kalman filters, Technological innovation, Approximation algorithms, State-space methods, Mathematical models, State-space model, general complex-valued unscented Kalman filter (GCUKF), noncircular
Journal
29
ISSN
Citations 
PageRank 
1070-9908
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Xing Zhang100.34
Yili Xia224725.50
Chunguo Li34810.72
Luxi Yang416422.41