Abstract
The paper extends the recently proposed concept of finite dimensional robust 2-D MMSE channel estimation to the staggered pilot grids in multi-carrier systems. The proposed scheme is particularly useful once the receiver has no knowledge of the channel correlation function and it intends to pursue the MMSE channel estimation for improved performance. We build a minimax optimization setup, as a function of the pilot grid structure, that leads to the Least Favourable (LF) channel correlation sequence, which is then employed by the receiver to obtain the maximally robust channel estimation coefficients guaranteeing the best worst-case performance. For staggered pilot grid, such as the one found in LTE Downlink specifications, we present three implementation variants for the maximally robust 2-D MMSE channel estimation and compare their performance in terms of coded BER.
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References
R. Nilsson, O. Edfors, M. Sandell, and P. O. Borjesson. An analysis of two-dimensional pilot-symbol assisted modulation for OFDM. IEEE International Conference on Personal Wireless Communications, pages 71–74, Dec 1997.
G. Auer and I. Cosovic. On pilot grid design for an OFDM air interface. Wireless Communications and Networking Conference, 2007, pages 2172–2177, March 2007.
Standardization Committee 3GPP. Evolved universal terrestrial radio access: Physical channels and modulation, 36.211. Online, http://3gpp.org, 2008.
Y. Li, L. J. Cimini, and N. R. Sollenberger. Robust channel estimation for OFDM systems with rapid dispersive fading channels. IEEE Transactions on Communications, 46:902–915, July 1998.
M. Danish Nisar, W. Utschick, and T. Hindelang. Robust 2-D Channel estimation in multi-carrier systems. Submitted to the IEEE Transactions on Wireless Communications.
V. N. Soloviov. Towards the theory of Minimax-Bayesian estimation. Theory Probab. Appl., 44:739–754, 2000.
Frank A. Dietrich. Robust Signal Processing for Wireless Communications. Springer, 1st edition, 2008.
Stephen P. Boyd and L. Vandenberghe. Convex Optimization. Cambridge University Press, 2004.
K. S. Arun and L. C. Potter. Existence and Uniqueness of Band-Limited, Positive Semidefinite Extrapolations. IEEE Trans. on Acoustics, Speech and Signal Processing, 48:547–549, Mar 1990.
J. F. Sturm. Using SeDuMi 1.02, A MATLAB toolbox for optimization over symmetric cones. Optimization Methods and Softwares, 11–12:625–653, 1999.
M. Danish Nisar, W. Utschick, and T. Hindelang. Robust 2-D Channel estimation for multi-carrier systems with finite dimensional Pilot Grid. IEEE International Conference on Acoustics, Speech and Signal Processing, Apr, 2009.
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Nisar, M.D., Utschick, W., Forster, J. (2009). Robust 2-D Channel Estimation for Staggered Pilot Grids in Multi-Carrier Systems: LTE Downlink as an Example. In: Plass, S., Dammann, A., Kaiser, S., Fazel, K. (eds) Multi-Carrier Systems & Solutions 2009. Lecture Notes in Electrical Engineering, vol 41. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-2530-2_11
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DOI: https://doi.org/10.1007/978-90-481-2530-2_11
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-2529-6
Online ISBN: 978-90-481-2530-2
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