Precoder Design Based on Correlation Matrices for MIMO Systems

This paper presents a general framework for precoder designs for MIMO systems using partial channel knowledge on the transmit and receive correlation matrices at the transmitter. It is shown that the optimal linear precoder for any uncoded and coded MIMO system based on the MMSE or ergodic capacity criterion, or for an orthogonal ST coded MIMO system based on the minimum PEP criterion, is an eigen-beamformer that transmits the signal along eigenvectors of the transmit correlation matrix. Based on the eigen-values of both the transmit and receive correlation matrices, power loading across the eigen-beams is determined by water-pouring policy. Individual effects of the transmit and receive correlation matrices on the system performance are investigated. Simulation results show noticeable performance improvement over MIMO systems without precoder, particularly when the transmit correlation matrix has low rank

[1]  A. C. Aitken.  Determinants and matrices , 1940 .

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

[3]  M. Kießling,et al.  A closed-form bound on correlated MIMO channel capacity , 2002, Proceedings IEEE 56th Vehicular Technology Conference.

[4]  Mikael Skoglund,et al.  Combining beamforming and orthogonal space-time block coding , 2002, IEEE Trans. Inf. Theory.

[5]  Charles R. Johnson,et al.  Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.

[6]  Are Hjørungnes,et al.  Minimum exact SER precoding of orthogonal space-time block codes for correlated MIMO channels , 2004, IEEE Global Telecommunications Conference, 2004. GLOBECOM '04..

[7]  Preben E. Mogensen,et al.  A stochastic MIMO radio channel model with experimental validation , 2002, IEEE J. Sel. Areas Commun..

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

[9]  Holger Boche,et al.  Optimal transmission strategies and impact of correlation in multiantenna systems with different types of channel state information , 2004, IEEE Transactions on Signal Processing.

[10]  K. Pedersen,et al.  A stochastic multiple-input-multiple-output radio channel model for evaluation of space-time coding algorithms , 2000, Vehicular Technology Conference Fall 2000. IEEE VTS Fall VTC2000. 52nd Vehicular Technology Conference (Cat. No.00CH37152).

[11]  R. Gallager.  Information Theory and Reliable Communication , 1968 .

[12]  Helmut Bölcskei,et al.  Outdoor MIMO wireless channels: models and performance prediction , 2002, IEEE Trans. Commun..

[13]  Andrea J. Goldsmith,et al.  Channel capacity and beamforming for multiple transmit and receive antennas with covariance feedback , 2001, ICC 2001. IEEE International Conference on Communications. Conference Record (Cat. No.01CH37240).

[14]  Petre Stoica,et al.  Generalized linear precoder and decoder design for MIMO channels using the weighted MMSE criterion , 2001, IEEE Trans. Commun..

[15]  Raviraj S. Adve,et al.  Precoding of orthogonal STBC with channel covariance feedback for minimum error probability , 2004, 2004 IEEE 15th International Symposium on Personal, Indoor and Mobile Radio Communications (IEEE Cat. No.04TH8754).

[16]  Reinaldo A. Valenzuela,et al.  Keyholes, correlations, and capacities of multielement transmit and receive antennas , 2002, IEEE Trans. Wirel. Commun..

[17]  Holger Boche,et al.  Channel capacity and capacity-range of beamforming in MIMO wireless systems under correlated fading with covariance feedback , 2004, IEEE Transactions on Wireless Communications.

[18]  R. Muirhead.  Aspects of Multivariate Statistical Theory , 1982, Wiley Series in Probability and Statistics.

[19]  Are Hjørungnes,et al.  Precoding of space-time block coded signals for joint transmit-receive correlated MIMO channels , 2006, IEEE Transactions on Wireless Communications.

[20]  Arogyaswami Paulraj,et al.  Linear precoding for space-time coded systems with known fading correlations , 2002, IEEE Communications Letters.

[21]  Anna Scaglione,et al.  Optimal designs for space-time linear precoders and decoders , 2002, IEEE Trans. Signal Process..