Improved and weighted sum rate maximization for successive zero-forcing in multiuser MIMO systems

We propose an improved algorithm for optimizing the transmit covariance matrices for successive zero-forcing (SZF) precoding in multiple-input multiple-output systems. We use a conjugate gradient projection method to solve the optimization problem. Our algorithm improves upon the existing method twofold. First, the existing covariance optimization method, with higher SNRs or more simultaneously supported users, can yield a lower sum rate than when using block diagonalization (BD), when theoretically SZF should never be inferior to BD. In comparison, our method consistently provides a higher throughput than BD. Several simulations demonstrate our algorithm's enhanced performance, which exceeds the existing method's sum rate by up to 12% in the examined cases. Second, our proposed algorithm also supports the maximization of a weighted sum rate with SZF, to incorporate quality of service (QoS). To our knowledge, no other work in the literature considers a weighted sum rate and/or QoS with SZF.

[1]  David James Love,et al.  Precoding for Multiple Antenna Gaussian Broadcast Channels With Successive Zero-Forcing , 2007, IEEE Transactions on Signal Processing.

[2]  Rick S. Blum,et al.  Optimized signaling for MIMO interference systems with feedback , 2003, IEEE Trans. Signal Process..

[3]  Hanif D. Sherali,et al.  On the Maximum Weighted Sum-Rate of MIMO Gaussian Broadcast Channels , 2008, 2008 IEEE International Conference on Communications.

[4]  Kaare Brandt Petersen,et al.  The Matrix Cookbook , 2006 .

[5]  Witold A. Krzymien,et al.  Low complexity greedy, genetic and hybrid user scheduling algorithms for multiuser MIMO systems with successive zero-forcing , 2012, Trans. Emerg. Telecommun. Technol..

[6]  A. Jalali,et al.  Data throughput of CDMA-HDR a high efficiency-high data rate personal communication wireless system , 2000, VTC2000-Spring. 2000 IEEE 51st Vehicular Technology Conference Proceedings (Cat. No.00CH37026).

[7]  Witold A. Krzymien,et al.  Efficient Sum Rate Maximization and Resource Allocation in Block-Diagonalized Space-Division Multiplexing , 2009, IEEE Transactions on Vehicular Technology.

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

[9]  Wolfgang Utschick,et al.  Efficient Weighted Sum Rate Maximization With Linear Precoding , 2010, IEEE Transactions on Signal Processing.

[10]  Michael Joham,et al.  A General Rate Duality of the MIMO Multiple Access Channel and the MIMO Broadcast Channel , 2008, IEEE GLOBECOM 2008 - 2008 IEEE Global Telecommunications Conference.

[11]  Wolfgang Utschick,et al.  On the MSE-Duality of the Broadcast Channel and the Multiple Access Channel , 2009, IEEE Transactions on Signal Processing.

[12]  Andrea J. Goldsmith,et al.  On the optimality of multiantenna broadcast scheduling using zero-forcing beamforming , 2006, IEEE Journal on Selected Areas in Communications.

[13]  Gene H. Golub,et al.  Matrix computations , 1983 .

[14]  Harish Viswanathan,et al.  Downlink capacity evaluation of cellular networks with known-interference cancellation , 2003, IEEE J. Sel. Areas Commun..

[15]  K.-D. Kammeyer,et al.  Weighted Sum Rate Maximization for the MIMO-Downlink Using a Projected Conjugate Gradient Algorithm , 2007, 2007 International Workshop on Cross Layer Design.

[16]  W. Utschick,et al.  A general covariance-based optimization framework using orthogonal projections , 2008, 2008 IEEE 9th Workshop on Signal Processing Advances in Wireless Communications.

[17]  Veljko Stankovic,et al.  Generalized Design of Multi-User MIMO Precoding Matrices , 2008, IEEE Transactions on Wireless Communications.

[18]  David James Love,et al.  On the Capacity and Design of Limited Feedback Multiuser MIMO Uplinks , 2008, IEEE Transactions on Information Theory.

[19]  Hanif D. Sherali,et al.  Optimal power allocation for achieving perfect secrecy capacity in MIMO wire-tap channels , 2009, 2009 43rd Annual Conference on Information Sciences and Systems.

[20]  Witold A. Krzymien,et al.  Greedy and Genetic User Scheduling Algorithms for Multiuser MIMO Systems with Block Diagonalization , 2009, 2009 IEEE 70th Vehicular Technology Conference Fall.

[21]  Frank Kelly,et al.  Rate control for communication networks: shadow prices, proportional fairness and stability , 1998, J. Oper. Res. Soc..

[22]  Max H. M. Costa,et al.  Writing on dirty paper , 1983, IEEE Trans. Inf. Theory.

[23]  Matti Latva-aho,et al.  Joint Design of Tx-Rx Beamformers in MIMO Downlink Channel , 2007, IEEE Transactions on Signal Processing.

[24]  Gene H. Golub,et al.  Matrix computations (3rd ed.) , 1996 .

[25]  Hanif D. Sherali,et al.  On the capacity of multiuser MIMO networks with interference , 2008, IEEE Transactions on Wireless Communications.

[26]  Shlomo Shamai,et al.  On the achievable throughput of a multiantenna Gaussian broadcast channel , 2003, IEEE Transactions on Information Theory.

[27]  Martin Haardt,et al.  Zero-forcing methods for downlink spatial multiplexing in multiuser MIMO channels , 2004, IEEE Transactions on Signal Processing.

[28]  D K Smith,et al.  Numerical Optimization , 2001, J. Oper. Res. Soc..

[29]  A. Goldsmith,et al.  Sum power iterative water-filling for multi-antenna Gaussian broadcast channels , 2002, Conference Record of the Thirty-Sixth Asilomar Conference on Signals, Systems and Computers, 2002..

[30]  Witold A. Krzymien,et al.  Genetic and Greedy User Scheduling for Multiuser MIMO Systems with Successive Zero-Forcing , 2009, 2009 IEEE Globecom Workshops.

[31]  D. C. Dodder.  R-Matrix Analysis , 1976 .

[32]  Federico Boccardi,et al.  A Near-Optimum Technique using Linear Precoding for the MIMO Broadcast Channel , 2007, 2007 IEEE International Conference on Acoustics, Speech and Signal Processing - ICASSP '07.

[33]  Robert W. Heath,et al.  Coordinated Beamforming for the Multiuser MIMO Broadcast Channel With Limited Feedforward , 2008, IEEE Transactions on Signal Processing.

[34]  Marian Codreanu,et al.  Uplink-Downlink SINR Duality via Lagrange Duality , 2008, 2008 IEEE Wireless Communications and Networking Conference.

[35]  Federico Boccardi,et al.  On transceiver design and channel quantization for downlink multiuser MIMO systems with limited feedback , 2008, IEEE Journal on Selected Areas in Communications.

[36]  Andrea J. Goldsmith,et al.  Duality, achievable rates, and sum-rate capacity of Gaussian MIMO broadcast channels , 2003, IEEE Trans. Inf. Theory.

[37]  Yuanan Liu,et al.  A simplified parametric channel estimation scheme for OFDM systems , 2008, IEEE Transactions on Wireless Communications.