Quaternion-valued stochastic gradient-based adaptive iir filtering

IEEE Transactions on Signal Processing

Volumn 58, Issue 7, 2010, Pages 3895-3901

  Took, Clive Cheong ^a   Mandic, Danilo P ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

Adaptive prediction; Infinite impulse response (IIR) filters; Quaternion adaptive filtering; Stochastic gradient; Wind modeling

Indexed keywords

ADAPTIVE PREDICTIONS; INFINITE IMPULSE RESPONSE (IIR) FILTERS; INFINITE IMPULSE RESPONSE FILTER; STOCHASTIC GRADIENT; WIND MODELING;

ADAPTIVE ALGORITHMS; ADAPTIVE FILTERING; ADAPTIVE FILTERS; APPROXIMATION ALGORITHMS; COMPUTATIONAL COMPLEXITY; IMPULSE RESPONSE; LEARNING ALGORITHMS; STOCHASTIC SYSTEMS;

IIR FILTERS;

EID: 77953788969     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2010.2047719     Document Type: Article

References (15)

1. P. A. Regalia, Adaptive IIR Filtering in Signal Processing and Control. New York: Marcel Dekker, 1994.
2. X. Zhang, "Maxflat fractional delay IIR filter design," IEEE Trans. Signal Process., vol.57, pp. 2950-2956, 2009.
3. D. P. Mandic and J. A. Chambers, Recurrent Neural Networks for Prediction. New York: Wiley, 2001.
4. C. Cheong-Took and D. P. Mandic, "The quaternion LMS algorithm for adaptive filtering of hypercomplex real world processes," IEEE Trans. Signal Process., vol.57, pp. 1316-1327, 2009.
5. P. Arena, L. Fortuna, G. Muscato, and M. G. Xibilia, "Neural networks in multidimensional domains," in Lecture Note in Control and Information Sciences. New York: Springer-Verlag, 1998, vol.234.
6. D. P. Mandic and V. S. L. Goh, Complex Valued Nonlinear Adaptive Filters: Noncircularity, Widely Linear and Neural Models. New York: Wiley, 2009.
7. Y. Huang and J. Benesty, Audio Signal Processing for Next Generation Multimedia Communication Systems. Boston, MA: Kluwer Academic, 2004.
8. C. C. Silva and R. D. AMartins, "Polar and axial vectors versus quaternions," Amer. Assoc. Phys. Teachers, vol.70, no.9, pp. 958-963, 2002.
9. S. Miron, N. L. Bihan, and J. Mars, "Quaternion-MUSIC for vectorsensor array processing," IEEE Trans. Signal Process., vol.54, pp. 1218-1229, 2006.
10. J. P. Ward, Quaternions and Cayley Numbers: Algebra and Applications. Boston, MA: Kluwer Academic, 1997.
11. B. Picinbono, "On circularity," IEEE Trans. Signal Process., vol.42, pp. 3473-3482, 1994.
12. N. N. Vakhania, "Random vectors with values in quaternion Hilbert spaces," Theory of Probabil. Appl., vol.43, no.1, pp. 99-115, 1999.
13. J. Eriksson and V. Koivunen, "Complex random vectors and ICA models: Identifiability, uniqueness, and separability," IEEE Trans. Inf. Theory, vol.52, pp. 1017-1029, 2006.
14. F. Zhang, "Quaternions and matrices of quaternions," Linear Algebra Appl., vol.251, pp. 21-57, 1997. (Pubitemid 127379941)
15. J. J. Shynk, "A complex adaptive algorithm for IIR filtering," IEEE Trans. Acoust., Speech, Signal Process., vol.ASSP-34, no.5, pp. 1342-1344, 1986.