Optimal Superimposed Training Design for Spatially Correlated Fading MIMO Channels

The problem of channel estimation for spatially correlated fading multiple-input multiple-output (MIMO) systems is considered. Based on the channel's second order statistic, the minimum mean-square error (MMSE) channel estimator that works with the superimposed training signal is first developed. The problem of designing the optimal superimposed signal is then addressed and solved with an iterative optimization algorithm. Results show that under the constraint of equal training power and bandwidth efficiency, our optimal design of the superimposed training signal leads to a significant reduction in channel estimation error when compared to the conventional design of time-multiplexing training, especially for slowly time-varying channels with a large coherence time. The issue of power allocation between the information-bearing and training signals for detection enhancement is also investigated. Simulation results demonstrate excellent bit-error-rate performance of orthogonal space-time block codes with our proposed channel estimation.

[1]  K. J. Ray Liu,et al.  Optimum Power Allocation for Maximum-Likelihood Channel Estimation in Space-Time Coded MIMO Systems , 2006, 2006 IEEE International Conference on Acoustics Speech and Signal Processing Proceedings.

[2]  Siavash M. Alamouti,et al.  A simple transmit diversity technique for wireless communications , 1998, IEEE J. Sel. Areas Commun..

[3]  John G. Proakis,et al.  Digital Communications , 1983 .

[4]  Emre Telatar,et al.  Capacity of Multi-antenna Gaussian Channels , 1999, Eur. Trans. Telecommun..

[5]  G. Giannakis Filterbanks for blind channel identification and equalization , 1997, IEEE Signal Processing Letters.

[6]  H. Tuy Convex analysis and global optimization , 1998 .

[7]  Iven M. Y. Mareels,et al.  Affine precoders for reliable communications , 2000, 2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100).

[8]  Rohit U. Nabar,et al.  Introduction to Space-Time Wireless Communications , 2003 .

[9]  Babak Hassibi,et al.  How much training is needed in multiple-antenna wireless links? , 2003, IEEE Trans. Inf. Theory.

[10]  H. Tuan,et al.  Affine Precoding and Decoding MIMO Frequency-selective Fading Channel for Estimation and Source Detection , 2006, 2006 IEEE International Symposium on Signal Processing and Information Technology.

[11]  David Tse,et al.  Fundamentals of Wireless Communication , 2005 .

[12]  Akbar M. Sayeed,et al.  Transmit signal design for optimal estimation of correlated MIMO channels , 2004, IEEE Transactions on Signal Processing.

[13]  Sergey Loyka Channel capacity of two-antenna BLAST architecture , 1999 .

[14]  A. Robert Calderbank,et al.  Space-time block coding for wireless communications: performance results , 1999, IEEE J. Sel. Areas Commun..

[15]  Steven Kay,et al.  Fundamentals Of Statistical Signal Processing , 2001 .

[16]  Jonathan H. Manton Design and analysis of linear precoders under a mean square error criterion, Part II: MMSE designs and conclusions , 2003, Syst. Control. Lett..

[17]  Jitendra K. Tugnait,et al.  On channel estimation using superimposed training and first-order statistics , 2003, IEEE Communications Letters.

[18]  F. Mazzenga Channel estimation and equalization for M-QAM transmission with a hidden pilot sequence , 2000 .

[19]  T. Forshaw Everything you always wanted to know , 1977 .

[20]  M. J. Gans,et al.  On Limits of Wireless Communications in a Fading Environment when Using Multiple Antennas , 1998, Wirel. Pers. Commun..

[21]  Stephen P. Boyd,et al.  Convex Optimization , 2004, Algorithms and Theory of Computation Handbook.

[22]  Hoang Tuy,et al.  Monotonic Optimization: Problems and Solution Approaches , 2000, SIAM J. Optim..

[23]  G.D. Forney,et al.  Combined equalization and coding using precoding , 1991, IEEE Communications Magazine.

[24]  K.J.R. Liu,et al.  A Data-Bearing Approach for Pilot-Embedding Frameworks in Space-Time Coded MIMO Systems , 2006, IEEE Transactions on Signal Processing.

[25]  Chen-Nee Chuah,et al.  Capacity scaling in MIMO Wireless systems under correlated fading , 2002, IEEE Trans. Inf. Theory.

[26]  Liuqing Yang,et al.  Optimal training for MIMO frequency-selective fading channels , 2005, IEEE Transactions on Wireless Communications.

[27]  M. Viberg,et al.  Superimposed periodic pilots for blind channel estimation , 2001, Conference Record of Thirty-Fifth Asilomar Conference on Signals, Systems and Computers (Cat.No.01CH37256).

[28]  Joseph M. Kahn,et al.  Fading correlation and its effect on the capacity of multielement antenna systems , 2000, IEEE Trans. Commun..

[29]  Sergey L. Loyka,et al.  Channel capacity of MIMO architecture using the exponential correlation matrix , 2001, IEEE Communications Letters.

[30]  W.C.-Y. Lee Effects on Correlation Between Two Mobile Radio Base-Station Antennas , 1973, IEEE Trans. Commun..

[31]  J.H. Manton,et al.  Orthogonal superimposed training on linear precoding: a new affine precoder design , 2005, IEEE 6th Workshop on Signal Processing Advances in Wireless Communications, 2005..

[32]  S. Loyka,et al.  Channel capacity of n-antenna BLAST architecture , 2000 .

[33]  Lang Tong,et al.  Single-user channel estimation and equalization , 2000, IEEE Signal Process. Mag..

[34]  S. Kay Fundamentals of statistical signal processing: estimation theory , 1993 .

[35]  Arogyaswami Paulraj,et al.  Space-time processing for wireless communications , 1997 .

[36]  Truong Q. Nguyen,et al.  Jointly Optimal Precoding/Postcoding for Colored MIMO Systems , 2006, 2006 IEEE International Conference on Acoustics Speech and Signal Processing Proceedings.

[37]  A.J. Paulraj,et al.  Space-time processing for wireless communications , 1997, 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[38]  Georgios B. Giannakis,et al.  Optimal training and redundant precoding for block transmissions with application to wireless OFDM , 2002, IEEE Trans. Commun..

[39]  Arogyaswami Paulraj,et al.  Linear precoding for space-time coded systems with known fading correlations , 2001 .

[40]  Ha H. Nguyen,et al.  Orthogonal Affine Precoding and Decoding for Channel Estimation and Source Detection in MIMO Frequency-Selective Fading Channels , 2009, IEEE Transactions on Signal Processing.

[41]  Richard D. Gitlin,et al.  The impact of antenna diversity on the capacity of wireless communication systems , 1994, IEEE Trans. Commun..