MIMO Networks: The Effects of Interference

Multiple-input multiple-output (MIMO) systems are being considered as one of the key enabling technologies for future wireless networks. However, the decrease in capacity due to the presence of interferers in MIMO networks is not well understood. In this paper, we develop an analytical framework to characterize the capacity of MIMO communication systems in the presence of multiple MIMO co-channel interferers and noise. We consider the situation in which transmitters have no channel state information, and all links undergo Rayleigh fading. We first generalize the determinant representation of hypergeometric functions with matrix arguments to the case when the argument matrices have eigenvalues of arbitrary multiplicity. This enables the derivation of the distribution of the eigenvalues of Gaussian quadratic forms and Wishart matrices with arbitrary correlation, with application to both single-user and multiuser MIMO systems. In particular, we derive the ergodic mutual information for MIMO systems in the presence of multiple MIMO interferers. Our analysis is valid for any number of interferers, each with arbitrary number of antennas having possibly unequal power levels. This framework, therefore, accommodates the study of distributed MIMO systems and accounts for different spatial positions of the MIMO interferers.

[1]  Moe Z. Win,et al.  Analytical evaluation of MIMO systems with unequal power transmission in a Rayleigh fading environment , 2003, GLOBECOM '03. IEEE Global Telecommunications Conference (IEEE Cat. No.03CH37489).

[2]  Moe Z. Win,et al.  On the capacity of spatially correlated MIMO Rayleigh-fading channels , 2003, IEEE Trans. Inf. Theory.

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

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

[5]  C. Khatri.  On Certain Distribution Problems Based on Positive Definite Quadratic Functions in Normal Vectors , 1966 .

[6]  Thomas M. Cover,et al.  Elements of Information Theory , 2005 .

[7]  Marco Chiani,et al.  Joint distribution of an arbitrary subset of the ordered eigenvalues of Wishart matrices , 2008, 2008 IEEE 19th International Symposium on Personal, Indoor and Mobile Radio Communications.

[8]  Hyundong Shin,et al.  MIMO Diversity in the Presence of Double Scattering , 2005, IEEE Transactions on Information Theory.

[9]  Erwin Riegler,et al.  On the Ergodic Capacity of the Asymptotic Separately-Correlated Rician Fading MIMO Channel with Interference , 2007, 2007 IEEE International Symposium on Information Theory.

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

[11]  Moe Z. Win,et al.  On optimum combining of M-PSK signals with unequal-power interferers and noise , 2005, IEEE Transactions on Communications.

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

[13]  Larry J. Greenstein,et al.  Simulation results for an interference-limited multiple-input multiple-output cellular system , 2000, IEEE Commun. Lett..

[14]  Moe Z. Win,et al.  MMSE reception and successive interference cancellation for MIMO systems with high spectral efficiency , 2005, IEEE Transactions on Wireless Communications.

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

[16]  Matthew R. McKay,et al.  MIMO multichannel beamforming: SER and outage using new eigenvalue distributions of complex noncentral Wishart matrices , 2006, IEEE Transactions on Communications.

[17]  Bo Wang,et al.  On the capacity of MIMO relay channels , 2005, IEEE Transactions on Information Theory.

[18]  Moe Z. Win,et al.  Error probability for optimum combining of M-ary PSK signals in the presence of interference and noise , 2003, IEEE Trans. Commun..

[19]  Jack H. Winters,et al.  On the Capacity of Radio Communication Systems with Diversity in a Rayleigh Fading Environment , 1987, IEEE J. Sel. Areas Commun..

[20]  Matthew R. McKay,et al.  Error probability and SINR analysis of optimum combining in rician fading , 2009, IEEE Transactions on Communications.

[21]  T. Hayakawa,et al.  On the distribution of a quadratic form in a multivariate normal sample , 1966 .

[22]  Ranjan K. Mallik,et al.  Bounds and approximations for optimum combining of signals in the presence of multiple cochannel interferers and thermal noise , 2003, IEEE Trans. Commun..

[23]  H. Vincent Poor,et al.  Asymptotic spectral efficiency of multicell MIMO systems with frequency-flat fading , 2003, IEEE Trans. Signal Process..

[24]  Gordon L. Stüber,et al.  Analytical Framework for Optimal Combining With Arbitrary-Power Interferers and Thermal Noise , 2008, IEEE Transactions on Vehicular Technology.

[25]  Aris L. Moustakas,et al.  MIMO capacity through correlated channels in the presence of correlated interferers and noise: a (not so) large N analysis , 2003, IEEE Trans. Inf. Theory.

[26]  Hyundong Shin,et al.  On the capacity of doubly correlated MIMO channels , 2005, IEEE Transactions on Wireless Communications.

[27]  Andrea Giorgetti,et al.  MIMO capacity, level crossing rates and fades: The impact of spatial/temporal channel correlation , 2003, Journal of Communications and Networks.

[28]  DRAFT. April , 2004 .

[29]  Helmut Bölcskei,et al.  Capacity scaling laws in MIMO relay networks , 2006, IEEE Transactions on Wireless Communications.

[30]  Rick S. Blum.  MIMO capacity with interference , 2003, IEEE J. Sel. Areas Commun..

[31]  Antonia Maria Tulino,et al.  High-SNR power offset in multiantenna communication , 2005, IEEE Transactions on Information Theory.

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

[33]  M. Win,et al.  Performance of MIMO MRC in correlated Rayleigh fading environments , 2005, 2005 IEEE 61st Vehicular Technology Conference.

[34]  H. Vincent Poor,et al.  Downlink capacity of interference-limited MIMO systems with joint detection , 2004, IEEE Transactions on Wireless Communications.

[35]  Peter J. Smith,et al.  A determinant representation for the distribution of quadratic forms in complex normal vectors , 2000 .

[36]  I. Olkin,et al.  Inequalities: Theory of Majorization and Its Applications , 1980 .

[37]  Mansoor Shafi,et al.  Capacity of MIMO systems with semicorrelated flat fading , 2003, IEEE Trans. Inf. Theory.

[38]  Moe Z. Win,et al.  On the marginal distribution of the eigenvalues of wishart matrices , 2009, IEEE Transactions on Communications.

[39]  Gerard J. Foschini,et al.  Layered space-time architecture for wireless communication in a fading environment when using multi-element antennas , 1996, Bell Labs Technical Journal.

[40]  Holger Boche,et al.  Performance Analysis of Capacity of MIMO Systems under Multiuser Interference Based on Worst-Case Noise Behavior , 2004, EURASIP J. Wirel. Commun. Netw..

[41]  Rick S. Blum,et al.  On the capacity of cellular systems with MIMO , 2002, IEEE Communications Letters.

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

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