Finite SNR diversity-multiplexing tradeoff with spatial correlation and mutual coupling effects for Rayleigh MIMO channels

Abstract In the literature, the finite signal-to-noise ratio (SNR) situation for the fundamental diversity-multiplexing tradeoff (DMT) of multiple-input–multiple-output systems (MIMO systems) has been attached great importance. However, only lower bounds or coarse approximations of the outage probability have been proposed to develop coarse bounds of the finite-SNR DMT in the literature, and their approximation errors are still non-negligible. In order to solve the aforementioned weaknesses, we first propose an accurate finite-SNR outage probability for Rayleigh MIMO fading channels and then use it to derive the corresponding finite-SNR DMT. The proposed finite-SNR DMT can be used as an accurate guideline at finite SNR for rate-adaptive MIMO applications. In addition, the impact of antenna mutual coupling (along with antenna spatial correlation) on the finite-SNR outage probability and consequently its impact on the finite-SNR DMT are analyzed. Our results reveal that the spatial correlation of antenna arrays cannot provide gains to the outage performance and the finite-SNR DMT. In contrast, when the antenna spacing of antenna arrays is appropriately specified, the mutual coupling of antenna arrays is in favor of the outage performance and the finite-SNR DMT. Finally, we present computer simulation results for illustration and comparison to confirm the validity of our research work.

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

[2]  R. Valenzuela,et al.  Multiple input multiple output measurements and modeling in Manhattan , 2002, Proceedings IEEE 56th Vehicular Technology Conference.

[3]  Michael A. Jensen,et al.  Mutual coupling in MIMO wireless systems: a rigorous network theory analysis , 2004, IEEE Transactions on Wireless Communications.

[4]  W. WallaceJ.,et al.  Mutual coupling in MIMO wireless systems , 2004 .

[5]  ZhengLizhong,et al.  Diversity and multiplexing , 2006 .

[6]  Claude Oestges,et al.  Impact of Antenna Coupling on 2 $\times$ 2 MIMO Communications , 2007, IEEE Transactions on Vehicular Technology.

[7]  Giorgio Taricco,et al.  Transmission and Reception with Multiple Antennas: Theoretical Foundations , 2004, Found. Trends Commun. Inf. Theory.

[8]  J. Schiff.  The Laplace Transform: Theory and Applications , 1999 .

[9]  M.E. Bialkowski,et al.  Effect of mutual coupling on the interference rejection capabilities of linear and circular arrays in CDMA systems , 2004, IEEE Transactions on Antennas and Propagation.

[10]  Joseph M. Kahn,et al.  Fading correlation and its effect on the capacity of multielement antenna systems , 2000, IEEE Trans. Commun..

[11]  Zhigang Cao,et al.  Outage Exponent: A Unified Performance Metric for Parallel Fading Channels , 2013, IEEE Transactions on Information Theory.

[12]  J. H. Winters,et al.  Effect of fading correlation on adaptive arrays in digital mobile radio , 1994 .

[13]  Michael A. Jensen,et al.  Impact of Coupling on Multiple-Antenna Capacity in Correlated Fast-Fading Environments , 2009, IEEE Transactions on Vehicular Technology.

[14]  Lei Zhao,et al.  Diversity and Multiplexing Tradeoff in General Fading Channels , 2007, 2006 40th Annual Conference on Information Sciences and Systems.

[15]  P. Vijay Kumar,et al.  Explicit Space–Time Codes Achieving the Diversity–Multiplexing Gain Tradeoff , 2006, IEEE Transactions on Information Theory.

[16]  Wonseok Jeon,et al.  The capacity of wireless channels: A physical approach , 2013, 2013 IEEE International Symposium on Information Theory.

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

[18]  Ronald F. Boisvert,et al.  NIST Handbook of Mathematical Functions , 2010 .

[19]  Yuhan Dong,et al.  The Impact of Mutual Coupling on MIMO Maximum-Ratio Combining , 2007, IEEE GLOBECOM 2007 - IEEE Global Telecommunications Conference.

[20]  R. Janaswamy.  Effect of element mutual coupling on the capacity of fixed length linear arrays , 2002, IEEE Antennas and Wireless Propagation Letters.

[21]  Salman Durrani,et al.  Corrections to “Effect of Mutual Coupling on the Interference Rejection Capabilities of Linear and Circular Arrays in CDMA Systems” , 2005 .

[22]  Ward Whitt,et al.  Numerical Inversion of Laplace Transforms of Probability Distributions , 1995, INFORMS J. Comput..

[23]  L. Mirsky,et al.  Introduction to Linear Algebra , 1965, The Mathematical Gazette.

[24]  Daniel Pérez Palomar,et al.  Array Gain in the DMT Framework for MIMO Channels , 2012, IEEE Transactions on Information Theory.

[25]  Constantine A. Balanis,et al.  Antenna Theory: Analysis and Design , 1982 .

[26]  Wessam Ajib,et al.  Impact of Spatial Correlation on the Finite-SNR Diversity-Multiplexing Tradeoff , 2008, IEEE Transactions on Wireless Communications.

[27]  R. Narasimhan,et al.  Finite-SNR Diversity–Multiplexing Tradeoff for Correlated Rayleigh and Rician MIMO Channels , 2006, IEEE Transactions on Information Theory.

[28]  W. Lee.  Mutual Coupling Effect on Maximum-Ratio Diversity Combiners and Application to Mobile Radio , 1970 .

[29]  Sae-Young Chung,et al.  Diversity–Multiplexing Tradeoff and Outage Performance for Rician MIMO Channels , 2008, IEEE Transactions on Information Theory.

[30]  Sergey Loyka,et al.  Finite-SNR Diversity-Multiplexing Tradeoff via Asymptotic Analysis of Large MIMO Systems , 2010, IEEE Transactions on Information Theory.

[31]  R. Clarke.  A statistical theory of mobile-radio reception , 1968 .

[32]  Lizhong Zheng,et al.  Diversity and multiplexing: a fundamental tradeoff in multiple-antenna channels , 2003, IEEE Trans. Inf. Theory.

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

[34]  Wessam Ajib,et al.  A Tight Lower Bound on the Outage Probability of Spatially Correlated MIMO Channels , 2007, 2007 IEEE 65th Vehicular Technology Conference - VTC2007-Spring.

[35]  Luc Vandendorpe,et al.  Mutual coupling effects on the channel capacity and the space-time processing of MIMO communication systems , 2003, IEEE International Conference on Communications, 2003. ICC '03..

[36]  Thomas Svantesson,et al.  Modeling and estimation of mutual coupling in a uniform linear array of dipoles , 1999, 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258).

[37]  J. X. Yun,et al.  Multiple Element Antenna Efficiency and its Impact on Diversity and Capacity , 2012, IEEE Transactions on Antennas and Propagation.

[38]  David Tse,et al.  Degree-of-Freedom Gain From Using Polarimetric Antenna Elements , 2011, IEEE Transactions on Information Theory.

[39]  Chintha Tellambura,et al.  On the Application of Character Expansions for MIMO Capacity Analysis , 2012, IEEE Transactions on Information Theory.

[40]  Hesham El Gamal,et al.  The Throughput–Reliability Tradeoff in Block-Fading MIMO Channels , 2007, IEEE Transactions on Information Theory.

[41]  Sergey Loyka,et al.  Diversity-Multiplexing Tradeoff in the Low-SNR Regime , 2011, IEEE Communications Letters.