MIMO capacity for deterministic channel models: sublinear growth

被引：1

作者：

Bentosela, Francois ^{[2
]}

Cornean, Horia D. ^{[1
]}

Marchetti, Nicola ^{[3
]}

机构：

[1] Aalborg Univ, Dept Math Sci, DK-9220 Aalborg, Denmark

[2] Aix Marseille Univ, Ctr Phys Theor, CNRS, UMR 6207, F-13288 Marseille 9, France

[3] Trinity Coll Dublin, CTVR, Ctr Telecommun Res, Dublin 2, Ireland

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2013年 / 36卷 / 01期

关键词：

MIMO systems; Shannon-Foschini capacity; deterministic spread function; Fredholm determinants;

D O I：

10.1002/mma.2565

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This is the second paper by the authors in a series concerned with the development of a deterministic model for the transfer matrix of a MIMO system. In our previous paper, we started from the Maxwell equations and described the generic structure of such a deterministic transfer matrix. In the current paper, we apply those results in order to study the (Shannon-Foschini) capacity behavior of a MIMO system as a function of the deterministic spread function of the environment and the number of transmitting and receiving antennas. The antennas are assumed to fill in a given fixed volume. Under some generic assumptions, we prove that the capacity grows much more slowly than linearly with the number of antennas. These results reinforce previous heuristic results obtained from statistical models of the transfer matrix, which also predict a sublinear behavior. Copyright (c) 2012 John Wiley & Sons, Ltd.

引用

页码：18 / 27

页数：10

共 11 条

[1] Survey of channel and radio propagation models for wireless MIMO systems [J].

Almers, P. ;

Bonek, E. ;

Burr, A. ;

Czink, N. ;

Debbah, M. ;

Degli-Esposti, V. ;

Hofstetter, H. ;

Kyoesti, P. ;

Laurenson, D. ;

Matz, G. ;

Molisch, A. F. ;

Oestges, C. ;

Oezcelik, H. .

EURASIP JOURNAL ON WIRELESS COMMUNICATIONS AND NETWORKING, 2007, 2007 (1)

[2]

[Anonymous], 2003, Introduction to SpaceTime Wireless Communications

[3] Sub-linear capacity scaling for multi-path channel models [J].

Bentosela, F. ;

Soccorsi, E. .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2010, 33 (09) :1174-1180

[4] On the transfer matrix of a MIMO system [J].

Bentosela, Francois ;

Cornean, Horia D. ;

Fleury, Bernard H. ;

Marchetti, Nicola .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2011, 34 (08) :963-976

[5] On Limits of Wireless Communications in a Fading Environment when Using Multiple Antennas [J].

Foschini G.J. ;

Gans M.J. .

Wireless Personal Communications, 1998, 6 (3) :311-335

[6]

Gesbert D, 2002, GLOB TELECOMM CONF, P1187

[7]

Hormander L., 1985, ANAL LINEAR PARTIAL, VIV

[8]

Molisch A. F., 2012, Wireless Communications

[9] Degrees of freedom in multiple-antenna channels: A signal space approach [J].

Poon, ASY ;

Brodersen, RW ;

Tse, DNC .

IEEE TRANSACTIONS ON INFORMATION THEORY, 2005, 51 (02) :523-536

[10] Capacity of multi-antenna Gaussian channels [J].

Telatar, E .

EUROPEAN TRANSACTIONS ON TELECOMMUNICATIONS, 1999, 10 (06) :585-595

← 1 2 →