Abstract
This paper deals with the estimation of time-varying Multi-Carrier Direct-Sequence Code DivisionMultiple Access (MC-DS-CDMA) fading channels using a training-aided scheme. Our approach consists in using an optimal filtering based on a linear state-space model of the fading channel system. In that case, two issues have to be investigated: 1) what kind of optimal filtering can be used? 2) how to estimate the state-space matrices?
Thus, Kalman filtering can be considered. It is optimal in the H2 sense providing the underlying state-space model is Gaussian and accurate. However, as these assumptions may no longer be satisfied in real cases, we propose to study the relevance of H∞ filtering. More particularly, when an explicit AR model is used for the channel, our first solution consists in estimating the fading channel and its AR parameters by means of two-cross-coupled H∞ filters. Instead of AR model based-estimators, our second contribution is to view the channel estimation as a realization issue where the state-space matrices are estimated by using subspace methods for system identification without any a priori explicit model for the channel.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
K. E. Baddour and N. C. Beaulieu, “Autoregressive modeling for fading channel simulation,” IEEE Trans. On Wireless Communications, vol. 4, pp. 1650-1662, July 2005.
C. Komninakis, C. Fragouli, A. H. Sayed, and R. D. Wesel, “Multi-input multi-output fading channel tracking and equalization using Kalman estimation,” IEEE Trans. Signal Process., pp. 1065-1076, May 2002.
M. Tsatsanis, G. B. Giannakis, and G. Zhou, “Estimation and equalization of fading channels with random coefficients,” Signal Processing, vol. 53, pp. 211-229, Sept. 1996.
A. Papoulis and S. U. Pillai, Probability, Random Variables and Stochastic Processes, McGraw-Hill, New York, 2002.
D. Schafhuber, G. Matz, and F. Hlawatsch, “Simulation of wideband mobile radio channels using subsampled ARMA models and multistage interpolation,” in Proceedings of IEEE-SSP, Singapore, Aug. 6-8, 2001.
M. Deriche, “AR parameter estimation from noisy data using the EM algorithm,” Proc. of the IEEE-ICASSP, Adelaide, April 1994, pp. 69-72.
B. D. O. Anderson and J. B. Moore, Optimal Filtering, Prentice Hall, NJ, 1979.
S. Gannot and M. Moonen, “On the application of the unscented Kalman filter to speech processing,” Proceedings of IWAENC, Kyoto, Japan, September 2003.
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 Processing, vol. 86, pp. 2863-2876, October 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 Proceedings of EUSIPCO, Antalya, Turkey, Sept. 4-8, 2005.
B. Hassibi, A. H. Sayed and T. Kailath, Indefinite Quadratic Estimation and Control: A Unified Approach to an H 2 and H∞ Theories, 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 Communications, vol. 3, pp. 2060-2071, November 2004.
P. Van Overschee and B. De Moor, Subspace identification for linear systems, theory, implementation, applications, Kluwer Academic Publisher, 1996.
S. Kondo and L. Milstein, “Performance of multicarrier DS-CDMA systems,” IEEE Trans. on Communications, vol. 44, pp. 238-246, February 1996.
D. N. Kalofonos, M. Stojanovic, and J. G. Proakis, “Performance of adaptive MC- CDMA detectors in rapidly fading Rayleigh channels,” IEEE Trans. On Wireless Communications, vol. 2, pp. 229-239, March 2003. .
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2007 Springer
About this paper
Cite this paper
Jamoos, A., Grolleau, J., Grivel, E., Abdel-Nour, H. (2007). Kalman Vs H∞ Algorithms for MC-DS-CDMA Channel Estimation with or without a Priori ar Modeling. In: Plass, S., Dammann, A., Kaiser, S., Fazel, K. (eds) Multi-Carrier Spread Spectrum 2007. Lecture Notes Electrical Engineering, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6129-5_43
Download citation
DOI: https://doi.org/10.1007/978-1-4020-6129-5_43
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-6128-8
Online ISBN: 978-1-4020-6129-5
eBook Packages: EngineeringEngineering (R0)