A widely linear complex unscented kalman filter

IEEE Signal Processing Letters

Volumn 18, Issue 11, 2011, Pages 623-626

  Dini, Dahir H ^a   Mandic, Danilo P ^a   Julier, Simon J ^b  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

^b UNIVERSITY COLLEGE LONDON   (United Kingdom)

Author keywords

Augmented complex UKF; complex circularity; improperness; unscented Kalman filter; widely linear Kalman filter; widely linear model

Indexed keywords

AUGMENTED COMPLEX UKF; COMPLEX CIRCULARITY; IMPROPERNESS; UNSCENTED KALMAN FILTER; WIDELY LINEAR; WIDELY LINEAR MODELS;

NONLINEAR FILTERING; ROTATION; SIGNAL PROCESSING;

KALMAN FILTERS;

EID: 80053013399     PISSN: 10709908     EISSN: None     Source Type: Journal    
DOI: 10.1109/LSP.2011.2166259     Document Type: Article

References (10)

1. D. Mandic and V. S. L. Goh, Complex Valued Nonlinear Adaptive Filters: Noncircularity, Widely Linear and Neural Models. Hoboken, NJ: Wiley, 2009.
2. P. Dash, S. Hasan, and B. Panigrahi, "Adaptive complex unscented Kalman filter for frequency estimation of time-varying signals," IET Sci. Meas. Technol., vol. 4, no. 2, pp. 93-103, 2010.
3. S. Goh and D. P. Mandic, "An augmented extended kalman filter algorithm for complex-valued recurrent neural networks," Neural Comput., vol. 19, pp. 1039-1055, 2007.
4. B. Picinbono and P. Bondon, "Second-order statistics of complex signals," IEEE Trans. Signal Process., vol. 45, no. 2, pp. 411-420, Feb. 1997. (Pubitemid 127765904)
5. K. Kreutz-Delgado, Electrical and Computer Engineering, Jacobs Sch. Eng.,Univ. California-SanDiego, The Complex Gradient Operator and the CR-Calculus Tech. Rep. ECE275CG-F05v1.3d, 2006.
6. [Online]. Available: http://www.commsp.ee.ic.ac.uk/ mandic/complexbook/
7. S. Douglas, "Widely-linear recursive least-squares algorithm for adaptive beamforming," in Proc. IEEE Int. Conf. Acoustics, Speech and Signal Processing, 2009, 2009, pp. 2041-2044 [Online]. Available: http://www.commsp.ee.ic.ac.uk/-mandic/complexbook/
8. S. Julier and J. Uhlmann, "A new extension of the Kalman filter to nonlinear systems," in Proc. AeroSense 11th Int. Symp. Aerospace/Defense Sensing, Simulation and Controls, 1997, pp. 182-193.
9. S. Julier, J. Uhlmann, and H. Durrant-Whyte, "A new method for the nonlinear transformation of means and covariances in filters and estimators," IEEE Trans. Automat. Contr., vol. 45, no. 3, pp. 477-482, 2000.
10. E. Ollila, "On the circularity of a complex random variable," IEEE Signal Process. Lett., vol. 15, pp. 841-844, 2008.