Degrees of freedom for the MIMO interference channel

被引:368
作者
Jafar, Syed Ali [1 ]
Fakhereddin, Maralle Jannal
机构
[1] Univ Calif Irvine, Dept Elect Engn & Comp Sci, Irvine, CA 92697 USA
[2] CALTECH, Pasadena, CA 91125 USA
关键词
broadeast; degrees of freedom (DOF); interference; multiple-input-multiple-output (MIMO); multiple access; zero forcing; OUTER BOUNDS; CAPACITY;
D O I
10.1109/TIT.2007.899557
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 correspondence, we show that the exact number of spatial degrees of freedom (DOF) for a two user nondegenerate (full rank channel matrices) multiple-input-multiple-output (MIMO) Gaussian interference channel with M-1, M-2 antennas at transmitters 1, 2 and N-1, N-2 antennas at the corresponding receivers, and perfect channel knowledge at all transmitters and receivers, is min{M-1 + M-2, N-1 + N-2, max(M-1, M-2), max(M-2, N-1)}. A constructive achievability proof shows that zero forcing is sufficient to achieve all the available DOF on the two user MIMO interference channel. We also show through an example of a share-and-transmit scheme how the gains of transmitter cooperation may be entirely offset by the cost of enabling that cooperation so that the available DOF are not increased.
引用
收藏
页码:2637 / 2642
页数:6
相关论文
共 13 条
[1]   CAPACITY REGION OF A CHANNEL WITH 2 SENDERS AND 2 RECEIVERS [J].
AHLSWEDE, R .
ANNALS OF PROBABILITY, 1974, 2 (05) :805-814
[2]   CASE WHERE INTERFERENCE DOES NOT REDUCE CAPACITY [J].
CARLEIAL, AB .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1975, 21 (05) :569-570
[3]   OUTER BOUNDS ON THE CAPACITY OF INTERFERENCE CHANNELS [J].
CARLEIAL, AB .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1983, 29 (04) :602-606
[4]   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
[5]   Capacity bounds for cooperative diversity [J].
Host-Madsen, A .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2006, 52 (04) :1522-1544
[6]  
HOSTMADSEN A, 2005, IEEE COMM THEOR WORK
[7]  
HOSTMADSEN A, 2005, P IEEE INT S INF THE
[8]   Isotropic fading vector broadcast channels: The scalar upper bound and loss in degrees of freedom [J].
Jafar, SA ;
Goldsmith, AJ .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2005, 51 (03) :848-857
[9]   Outer bounds on the capacity of Gaussian interference channels [J].
Kramer, G .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2004, 50 (03) :581-586
[10]   On the high-SNR capacity of noncoherent networks [J].
Lapidoth, A .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2005, 51 (09) :3025-3036