TY - JOUR
T1 - Sum capacity of MIMO interference channels in the low interference regime
AU - Annapureddy, V. Sreekanth
AU - Veeravalli, Venugopal V.
N1 - Funding Information:
Manuscript received September 10, 2009; revised October 09, 2010; accepted December 31, 2010. Date of current version April 20, 2011. This work was supported in part by the NSF awards CNS-081670 and CCF-0904619, through the University of Illinois, and in part by grants from Intel and Texas Instruments. This paper was presented in part at the Asilomar Conference on Signals, Systems, and Computers, Pacific Grove, CA, November 2008, and the Information Theory and Applications (ITA) Workshop, University of California, San Diego, January 2009.
Funding Information:
Mr. Annapureddy was a member of the team that won the 2010 Qualcomm Cognitive Radio contest. He was a recipient of the James Henderson fellowship and the Vodafone graduate fellowship from the University of Illinois and the Roberto Padovani scholarship from Qualcomm.
PY - 2011/5
Y1 - 2011/5
N2 - Using Gaussian inputs and treating interference as noise at the receivers has recently been shown to be sum capacity achieving for the two-user single-input single-output (SISO) Gaussian interference channel in a low interference regime, where the interference levels are below certain thresholds. In this paper, such a low interference regime is characterized for multiple-input multiple-output (MIMO) Gaussian interference channels. Conditions are provided on the direct and cross channel gain matrices under which using Gaussian inputs and treating interference as noise at the receivers is sum capacity achieving. For the special cases of the symmetric multiple-input single-output (MISO) and single-input multiple-output (SIMO) Gaussian interference channels, more explicit expressions for the low interference regime are derived. In particular, the threshold on the interference levels that characterize low interference regime is related to the input SNR and the angle between the direct and cross channel gain vectors. It is shown that the low interference regime can be quite significant for MIMO interference channels, with the low interference threshold being at least as large as the sine of the angle between the direct and cross channel gain vectors for the MISO and SIMO cases.
AB - Using Gaussian inputs and treating interference as noise at the receivers has recently been shown to be sum capacity achieving for the two-user single-input single-output (SISO) Gaussian interference channel in a low interference regime, where the interference levels are below certain thresholds. In this paper, such a low interference regime is characterized for multiple-input multiple-output (MIMO) Gaussian interference channels. Conditions are provided on the direct and cross channel gain matrices under which using Gaussian inputs and treating interference as noise at the receivers is sum capacity achieving. For the special cases of the symmetric multiple-input single-output (MISO) and single-input multiple-output (SIMO) Gaussian interference channels, more explicit expressions for the low interference regime are derived. In particular, the threshold on the interference levels that characterize low interference regime is related to the input SNR and the angle between the direct and cross channel gain vectors. It is shown that the low interference regime can be quite significant for MIMO interference channels, with the low interference threshold being at least as large as the sine of the angle between the direct and cross channel gain vectors for the MISO and SIMO cases.
KW - Capacity
KW - genie
KW - interference channel
KW - multiple-input multiple-output (MIMO)
KW - outer bound
KW - treating interference as noise
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U2 - 10.1109/TIT.2011.2119250
DO - 10.1109/TIT.2011.2119250
M3 - Article
AN - SCOPUS:79955518371
SN - 0018-9448
VL - 57
SP - 2565
EP - 2581
JO - IEEE Transactions on Information Theory
JF - IEEE Transactions on Information Theory
IS - 5
M1 - 5752450
ER -