Active Antenna Selection in Multiuser MIMO Communications

The paper develops a dynamic antenna scheduling strategy for downlink MIMO communications, where a subset of the receive antennas at certain users is selectively disabled. The proposed method improves the signal-to-leakage-plus-noise (SLNR) ratio performance of the system and it relaxes the condition on the number of transmit-receive antennas in comparison to traditional zero-forcing and time-scheduling strategies. The largest value that the SLNR can achieve is shown to be equal to the maximum eigenvalue of a certain random matrix combination, and the probability distribution of this eigenvalue is characterized in terms of a Whittaker function. The result shows that increasing the number of antennas at some users can degrade the SLNR performance at other users. This fact is used to propose an antenna scheduling scheme that leads to improvement in terms of SINR outage probabilities

[1]  Robert W. Heath,et al.  Antenna selection for spatial multiplexing systems based on minimum error rate , 2001, ICC 2001. IEEE International Conference on Communications. Conference Record (Cat. No.01CH37240).

[2]  Lizhong Zheng,et al.  Communication on the Grassmann manifold: A geometric approach to the noncoherent multiple-antenna channel , 2002, IEEE Trans. Inf. Theory.

[3]  V. Krishnamurthy,et al.  Adaptive MIMO antenna selection via discrete stochastic optimization , 2005, IEEE Transactions on Signal Processing.

[4]  A. James.  Distributions of Matrix Variates and Latent Roots Derived from Normal Samples , 1964 .

[5]  A. Rukhin.  Matrix Variate Distributions , 1999, The Multivariate Normal Distribution.

[6]  A. M. Mathai.  Jacobians of matrix transformations and functions of matrix argument , 1997 .

[7]  Ali H. Sayed,et al.  A Leakage-Based Precoding Scheme for Downlink Multi-User MIMO Channels , 2007, IEEE Transactions on Wireless Communications.

[8]  E. Masoud,et al.  Space-Time Block Coding for Wireless Communications , 2008 .

[9]  Khaled Ben Letaief,et al.  A joint-channel diagonalization for multiuser MIMO antenna systems , 2003, IEEE Trans. Wirel. Commun..

[10]  Jeffrey G. Andrews,et al.  Multiuser space-time block coded MIMO system with downlink precoding , 2004 .

[11]  Alan Edelman,et al.  The efficient evaluation of the hypergeometric function of a matrix argument , 2006, Math. Comput..

[12]  Jeffrey G. Andrews,et al.  Multiuser Space-Time Block Coded MIMO System with Unitary Downlink Precoding , 2004 .

[13]  Jeffrey G. Andrews,et al.  Multiuser space-time block coded MIMO with downlink precoding , 2004, 2004 IEEE International Conference on Communications (IEEE Cat. No.04CH37577).

[14]  Arogyaswami Paulraj,et al.  MIMO antenna subset selection with space-time coding , 2002, IEEE Trans. Signal Process..

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

[16]  Andre Bourdoux,et al.  Joint TX-RX optimisation for MIMO-SDMA based on a null-space constraint , 2002, Proceedings IEEE 56th Vehicular Technology Conference.

[17]  A. Constantine.  Some Non-Central Distribution Problems in Multivariate Analysis , 1963 .

[18]  R. Lippert,et al.  A matrix model for the -Jacobi ensemble , 2003 .

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

[20]  D. Owen.  Handbook of Mathematical Functions with Formulas , 1965 .

[21]  Robert W. Heath,et al.  Statistical antenna selection for spatial multiplexing systems , 2002, 2002 IEEE International Conference on Communications. Conference Proceedings. ICC 2002 (Cat. No.02CH37333).

[22]  Andrea J. Goldsmith,et al.  Optimality of zero-forcing beamforming with multiuser diversity , 2005, IEEE International Conference on Communications, 2005. ICC 2005. 2005.

[23]  Holger Boche,et al.  Solution of the multiuser downlink beamforming problem with individual SINR constraints , 2004, IEEE Transactions on Vehicular Technology.

[24]  Ali H. Sayed,et al.  A multi user beamforming scheme for downlink MIMO channels based on maximizing signal-to-leakage ratios , 2005, Proceedings. (ICASSP '05). IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005..

[25]  Tung-Sang Ng,et al.  Generalized multiuser orthogonal space-division multiplexing , 2004, IEEE Transactions on Wireless Communications.

[26]  Milton Abramowitz,et al.  Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables , 1964 .

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

[28]  A.J. Paulraj,et al.  Multiuser diversity for MIMO wireless systems with linear receivers , 2001, Conference Record of Thirty-Fifth Asilomar Conference on Signals, Systems and Computers (Cat.No.01CH37256).

[29]  Khaled Ben Letaief,et al.  Adaptive antennas at the mobile and base stations in an OFDM/TDMA system , 2001, IEEE Trans. Commun..

[30]  A. Edelman.  Eigenvalues and condition numbers of random matrices , 1988 .

[31]  Martin Schubert,et al.  MMSE transmit optimization for multi-user multi-antenna systems , 2005, Proceedings. (ICASSP '05). IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005..

[32]  Mats Bengtsson.  A pragmatic approach to multi-user spatial multiplexing , 2002, Sensor Array and Multichannel Signal Processing Workshop Proceedings, 2002.

[33]  Arak M. Mathai,et al.  A whittaker function of matrix argument , 1998 .

[34]  Paulo Sergio Ramirez,et al.  Fundamentals of Adaptive Filtering , 2002 .