Abstract
In this paper, our purpose is to estimate time-varying Rayleigh fading channels in Orthogonal Frequency Division Multiplexing (OFDM) mobile systems. When the fading channel is approximated by an AutoRegressive (AR) process, the direct estimation of the model parameters from the noisy observations available at the receiver may yield biased values. To avoid this drawback, the joint estimation of both the channel and its AR parameters must be addressed. Existing solutions to this dual estimation issue require Kalman filtering. This kind of filtering is optimal in the H2 sense provided that the underlying state-space model is accurate. Moreover, the initial state, the driving process and the measurement noise must be independent, white and Gaussian. However, in real cases, these assumptions may no longer be satisfied. To relax them, we propose to consider a structure based on two cross-coupled H2 filters. This method makes it possible to provide robust estimation of the fading channel and its AR parameters.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Reference
Z. Wang and G. B. Giannakis, “Wireless multicarrier communications, where Fourier meets Shannon,” IEEE Signal Process. Magazine, vol. 17, pp. 29–48, May 2000.
M. K. Ozdemir and H. Arsland, “Channel estimation for wireless OFDM systems,” IEEE Communications Surveys, vol. 9, no.2, pp. 18–48, 2nd Quarter 2007.
W. C. Jakes, Microwave Mobile Communications. New York: Wiley, 1974.
K. E. Baddour and N. C. Beaulieu, “Autoregressive modeling for fading channel simulation,” IEEE Trans. On Wireless Commun., vol. 4, pp. 1650–1662, July 2005.
W. Chen and R. Zhang, “Estimation of time and frequency selective channels in OFDM systems: a Kalman filter structure,”in Proc. IEEE GLOBECOM’04, pp.800–803, Nov. 2004.
C. Tepedelenlioglu, A. Abdi, G. B. Giannakis and M. Kaveh, “Estimation of Doppler spread and signal strength in mobile communications with applications to handoff and adaptive transmission,” Wireless Commun. Mobile Comput., vol. 1, pp. 221–242, Jun 2001.
M. Tsatsanis, G. B. Giannakis and G. Zhou, “Estimation and equalization of fading channels with random coefficients,” Signal Process., vol.53, pp. 211–229, Sep. 1996.
M. Deriche, “AR parameter estimation from noisy data using the EM algorithm,” in Proc. of the IEEE-ICASSP, Adelaide, Apr 1994, pp. 69–72.
D. Labarre, E. Grivel, Y. Berthoumieu, E. Todini and M. Najim, “Consistent estimation of autoregressive parameters from noisy observations based on two interacting Kalman filters,” Signal Process., vol. 86, pp. 2863–2876, Oct 2006.
A. Jamoos, D. Labarre, E. Grivel and M. Najim, “Two cross coupled Kalman filters for joint estimation of MC-DS-CDMA fading channels and their corresponding autoregressive parameters,” in Proc. EUSIPCO’05, Antalya, 4–8 Sep. 2005.
A. Jamoos, A. Abdo and Hanna Abdel Nour, “Estimation of OFDM Time-Varying Fading Channels Based on Two-Cross-Coupled Kalman Filters,” in Proc. CISSE 07, University of Bridgeport, 3 – 12 December, 2007.
B. Hassibi, A. H. Sayed, and T. Kailath Indefinite quadratic estimation and control: a unified approach to an H 2 and H ∞ theories. Philadelphia, PA: SIAM, 1999.
J. Cai, X. Shen, and J. W. Mark, “Robust channel estimation for OFDM wireless communication systems - an H ∞ approach,” IEEE Trans. On Wireless Commun., vol. 3, no.6, pp. 2060 – 2071, Nov. 2004.
D. Labarre, E. Grivel, M. Najim, “Dual H ∞ algorithms for signal processing, application to speech enhancement,” IEEE Trans. on Signal Processing, vol. 55, no. 11, pp. 5195–5208, Nov. 2007.
A. Papoulis and S. U. Pillai, Probability, Random Variables and Stochastic Processes. McGraw-Hill, 2002.
X. Shen and L. Deng, “Game theory approach to discrete H ∞ filter design,” IEEE Trans. On Signal Processing., vol. 45, no. 4, pp. 1092–1095, Apr 1997.
Author information
Authors and Affiliations
Corresponding authors
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer Science+Business Media B.V.
About this paper
Cite this paper
Jamoos, A., Abdo, A., Nour, H.A., Grivel, E. (2010). Two Cross-Coupled H∞ Filters for Fading Channel Estimation in OFDM Systems. In: Sobh, T., Elleithy, K., Mahmood, A. (eds) Novel Algorithms and Techniques in Telecommunications and Networking. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3662-9_60
Download citation
DOI: https://doi.org/10.1007/978-90-481-3662-9_60
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-3661-2
Online ISBN: 978-90-481-3662-9
eBook Packages: EngineeringEngineering (R0)