On Capacity-Maximizing Angular Densities of Multipath in MIMO Channels

This paper provides a partial answer to the question: "what is the best angular density of multipath in MIMO channels?" using the size-asymptotic theory of Toeplitz matrices for uniform 2-D and 3-D antenna arrays. A Kronecker-type approximation of the array correlation structure is proposed and used to find the angular densities that completely eliminate correlation between any elements of antenna arrays and thus maximize the asymptotic MIMO capacity for a broad class of fading distributions. At half-wavelength spacing, the best angular density is shown to be non-uniform, which implies that the popular Clarke's (Jake's) model does not represent the best case scenario. The asymptotic results are validated via Monte-Carlo simulations, and a number of practical guidelines for antenna design and optimal orientation are provided.

[1]  George V. Tsoulos,et al.  Estimating MIMO system performance using the correlation matrix approach , 2002, IEEE Communications Letters.

[2]  Harry L. Van Trees,et al.  Optimum Array Processing: Part IV of Detection, Estimation, and Modulation Theory , 2002 .

[3]  Sergey Loyka,et al.  On the Outage Capacity Distribution of Correlated Keyhole MIMO Channels , 2008, IEEE Trans. Inf. Theory.

[4]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[5]  J.A. Nossek,et al.  Quantifying diversity and correlation in Rayleigh fading MIMO communication systems , 2003, Proceedings of the 3rd IEEE International Symposium on Signal Processing and Information Technology (IEEE Cat. No.03EX795).

[6]  Mary Ann Ingram,et al.  Impact of clustering in statistical indoor propagation models on link capacity , 2002, IEEE Trans. Commun..

[7]  S. Loyka,et al.  What is the best angular density of multipath in MIMO channels? , 2009, 2009 11th Canadian Workshop on Information Theory.

[8]  Antonia Maria Tulino,et al.  Impact of antenna correlation on the capacity of multiantenna channels , 2005, IEEE Transactions on Information Theory.

[9]  Rodney A. Kennedy,et al.  Antenna saturation effects on dense array MIMO capacity , 2003, 2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03)..

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

[11]  Josef A. Nossek,et al.  Fading correlations in wireless MIMO communication systems , 2003, IEEE J. Sel. Areas Commun..

[12]  W. C. Jakes,et al.  Microwave Mobile Communications , 1974 .

[13]  T. Ferguson.  A Course in Large Sample Theory , 1996 .

[14]  Robert M. Gray,et al.  Toeplitz and Circulant Matrices: A Review , 2005, Found. Trends Commun. Inf. Theory.

[15]  Robert M. Gray,et al.  Toeplitz And Circulant Matrices: A Review (Foundations and Trends(R) in Communications and Information Theory) , 2006 .

[16]  Björn E. Ottersten,et al.  Asymptotic eigenvalue distributions and capacity for MIMO channels under correlated fading , 2004, IEEE Transactions on Wireless Communications.