Diversity-Multiplexing Tradeoff for the MIMO Static Half-Duplex Relay

被引：12

作者：

Leveque, Olivier ^{[1
]}

Vignat, Christophe ^{[2
]}

Yuksel, Melda ^{[3
]}

机构：

[1] Ecole Polytech Fed Lausanne, Fac I&C, Lab Informat Theory, CH-1015 Lausanne, Switzerland

[2] Univ Marne la Valle, Marne La Vallee, France

[3] TOBB Univ Econ & Technol, EEE Dept, TR-06560 Ankara, Turkey

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2010年 / 56卷 / 07期

关键词：

Cooperation; diversity-multiplexing tradeoff (DMT); fading channels; multiple-input multiple-output (MIMO); relay channel; spherical integrals; wireless networks; COOPERATIVE DIVERSITY;

D O I：

10.1109/TIT.2010.2048471

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we investigate the diversity-multiplexing tradeoff (DMT) of the multiple-antenna (MIMO) static half-duplex relay channel. A general expression is derived for the DMT upper bound, which can be achieved by a compress-and-forward protocol at the relay, under certain assumptions. The DMT expression is given as the solution of a minimization problem in general, and an explicit expression is found when the relay channel is symmetric in terms of number of antennas, i.e., the source and the destination have n antennas each, and the relay has m antennas. It is observed that the static half-duplex DMT matches the full-duplex DMT when the relay has a single antenna, and is strictly below the full-duplex DMT when the relay has multiple antennas. Besides, the derivation of the upper bound involves a new asymptotic study of spherical integrals (that is, integrals with respect to the Haar measure on the unitary group u(n)), which is a topic of mathematical interest in itself.

引用

页码：3356 / 3368

页数：13

共 17 条

[1] On the achievable diversity-multiplexing tradeoff in half-duplex cooperative channels [J].

Azarian, K ;

El Gamal, H ;

Schniter, P .

IEEE TRANSACTIONS ON INFORMATION THEORY, 2005, 51 (12) :4152-4172

[2] A simple cooperative diversity method based on network path selection [J].

Bletsas, A ;

Khisti, A ;

Reed, DP ;

Lippman, A .

IEEE JOURNAL ON SELECTED AREAS IN COMMUNICATIONS, 2006, 24 (03) :659-672

[3]

COVER TM, 1979, IEEE T INFORM THEORY, V25, P572, DOI 10.1109/TIT.1979.1056084

[4] A Fourier view on the R-transform and related asymptotics of spherical integrals [J].

Guionnet, A ;

Maïda, M .

JOURNAL OF FUNCTIONAL ANALYSIS, 2005, 222 (02) :435-490

[5] Large deviations asymptotics for spherical integrals [J].

Guionnet, A ;

Zeitouni, O .

JOURNAL OF FUNCTIONAL ANALYSIS, 2002, 188 (02) :461-515

[6] On capacity of Gaussian 'cheap' relay channel [J].

Khojastepour, MA ;

Sabharwal, A ;

Aazhang, B .

GLOBECOM'03: IEEE GLOBAL TELECOMMUNICATIONS CONFERENCE, VOLS 1-7, 2003, :1776-1780

[7] Cooperative diversity in wireless networks: Efficient protocols and outage behavior [J].

Laneman, JN ;

Tse, DNC ;

Wornell, GW .

IEEE TRANSACTIONS ON INFORMATION THEORY, 2004, 50 (12) :3062-3080

[8]

PAWAR S, 2008, P 46 ALL C COMM CONT

[9]

PETZ H, 2004, PERIOD MATH HUNG, V49, P103

[10]

Prasad N, 2004, 2004 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, PROCEEDINGS, P268

← 1 2 →