Two Novel Upper Bounds on the Sum Rate of MIMO ZF Receivers

In this paper, we introduce two novel upper bounds on the achievable sum rate of multiple-input multiple-output (MIMO) systems with Zero-Forcing (ZF) receivers. The presented bounds are given in tractable closed-form and apply for different fading models, like uncorrelated/doubly correlated Rayleigh fading and Ricean fading. In addition, the first bound establishes an interesting relationship between the sum rate and the first negative moment of the unordered eigenvalue of the instantaneous correlation matrix. Based on our analytical expressions, we are able to explore the impact of the model parameters, such as number of antennas, spatial correlation and Ricean-K factor, on the sum rate of MIMO ZF receivers.

[1]  Michail Matthaiou,et al.  Novel Generic Bounds on the Sum Rate of MIMO ZF Receivers , 2011, IEEE Transactions on Signal Processing.

[2]  Xiaohu You,et al.  On the Ergodic Capacity of Rank-$1$ Ricean-Fading MIMO Channels , 2007, IEEE Transactions on Information Theory.

[3]  Walaa Hamouda,et al.  Performance of zero-forcing detectors over MIMO flat-correlated Ricean fading channels , 2009, IET Commun..

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

[5]  Yi Jiang,et al.  Performance Analysis of ZF and MMSE Equalizers for MIMO Systems: An In-Depth Study of the High SNR Regime , 2011, IEEE Transactions on Information Theory.

[6]  Matthew R. McKay,et al.  General capacity bounds for spatially correlated Rician MIMO channels , 2005, IEEE Transactions on Information Theory.

[7]  Francis C. M. Lau,et al.  Performance analysis for MIMO systems using zero forcing detector over fading channels , 2006 .

[8]  Alex J. Grant,et al.  Rayleigh Fading Multi-Antenna Channels , 2002, EURASIP J. Adv. Signal Process..

[9]  Antonia Maria Tulino,et al.  Multiple-antenna capacity in the low-power regime , 2003, IEEE Trans. Inf. Theory.

[10]  Robert W. Heath,et al.  Transmit selection in spatial multiplexing systems , 2002, IEEE Communications Letters.

[11]  Caijun Zhong,et al.  Ergodic Capacity Analysis of Amplify-and-Forward MIMO Dual-Hop Systems , 2008, IEEE Transactions on Information Theory.

[12]  George Casella,et al.  The Existence of the First Negative Moment , 1985 .

[13]  Matthew R. McKay,et al.  Achievable Sum Rate of MIMO MMSE Receivers: A General Analytic Framework , 2010, IEEE Transactions on Information Theory.

[14]  M. Kießling,et al.  Analytical performance of MIMO zero-forcing receivers in correlated Rayleigh fading environments , 2003, 2003 4th IEEE Workshop on Signal Processing Advances in Wireless Communications - SPAWC 2003 (IEEE Cat. No.03EX689).

[15]  Helmut Bölcskei,et al.  Characterizing the statistical properties of mutual information in MIMO channels: insights into diversity-multiplexing tradeoff , 2002, Conference Record of the Thirty-Sixth Asilomar Conference on Signals, Systems and Computers, 2002..

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

[17]  Hyundong Shin,et al.  Capacity of multiple-antenna fading channels: spatial fading correlation, double scattering, and keyhole , 2003, IEEE Trans. Inf. Theory.

[18]  I. S. Gradshteyn,et al.  Table of Integrals, Series, and Products , 1976 .

[19]  Matthew R. McKay,et al.  On the capacity of frequency-flat and frequency-selective Rician MIMO channels with single-ended correlation , 2006, IEEE Transactions on Wireless Communications.