Capacity region of vector gaussian interference channels with generally strong interference

Xiaohu Shang; H. Vincent Poor

doi:10.1109/TIT.2012.2190042

Capacity region of vector gaussian interference channels with generally strong interference

Xiaohu Shang, H. Vincent Poor

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

An interference channel is said to have strong interference if a certain pair of mutual information inequalities are satisfied for all input distributions. These inequalities assure that the capacity of the interference channel with strong interference is achieved by jointly decoding the signal and the interference. This definition of strong interference applies to discrete memoryless, scalar and vector Gaussian interference channels. However, there exist vector Gaussian interference channels that may not satisfy the strong interference condition but for which the capacity can still be achieved by jointly decoding the signal and the interference. This kind of interference is called generally strong interference. Sufficient conditions for a vector Gaussian interference channel to have generally strong interference are derived. The sum-rate capacity and the boundary points of the capacity region are also determined.

Original language	English (US)
Article number	6165363
Pages (from-to)	3472-3496
Number of pages	25
Journal	IEEE Transactions on Information Theory
Volume	58
Issue number	6
DOIs	https://doi.org/10.1109/TIT.2012.2190042
State	Published - 2012

All Science Journal Classification (ASJC) codes

Information Systems
Computer Science Applications
Library and Information Sciences

Keywords

Capacity
Gaussian
interference
multiple-input multiple-output (MIMO)

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10.1109/TIT.2012.2190042

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abstract = "An interference channel is said to have strong interference if a certain pair of mutual information inequalities are satisfied for all input distributions. These inequalities assure that the capacity of the interference channel with strong interference is achieved by jointly decoding the signal and the interference. This definition of strong interference applies to discrete memoryless, scalar and vector Gaussian interference channels. However, there exist vector Gaussian interference channels that may not satisfy the strong interference condition but for which the capacity can still be achieved by jointly decoding the signal and the interference. This kind of interference is called generally strong interference. Sufficient conditions for a vector Gaussian interference channel to have generally strong interference are derived. The sum-rate capacity and the boundary points of the capacity region are also determined.",

keywords = "Capacity, Gaussian, interference, multiple-input multiple-output (MIMO)",

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note = "Funding Information: Manuscript received August 04, 2011; revised January 05, 2012; accepted February 13, 2012. Date of publication March 06, 2012; date of current version May 15, 2012. The work of H. V. Poor was supported in part by the National Science Foundation under Grant CNS-09-05398. The content of this paper will be partly presented in ISIT 2012, Boston, MA, July 2012. X. Shang is with Bell Labs, Holmdel, NJ 07733 USA (e-mail: [email protected]). H. V. Poor is with the Department of Electrical Engineering, Princeton University, Princeton, NJ 08544 USA (e-mail: [email protected]). Communicated by S. Jafar, Associate Editor for Communications. Color versions of one or more of the figures in this paper are available online at http://ieeexplore.ieee.org. Digital Object Identifier 10.1109/TIT.2012.2190042",

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AU - Poor, H. Vincent

N1 - Funding Information: Manuscript received August 04, 2011; revised January 05, 2012; accepted February 13, 2012. Date of publication March 06, 2012; date of current version May 15, 2012. The work of H. V. Poor was supported in part by the National Science Foundation under Grant CNS-09-05398. The content of this paper will be partly presented in ISIT 2012, Boston, MA, July 2012. X. Shang is with Bell Labs, Holmdel, NJ 07733 USA (e-mail: [email protected]). H. V. Poor is with the Department of Electrical Engineering, Princeton University, Princeton, NJ 08544 USA (e-mail: [email protected]). Communicated by S. Jafar, Associate Editor for Communications. Color versions of one or more of the figures in this paper are available online at http://ieeexplore.ieee.org. Digital Object Identifier 10.1109/TIT.2012.2190042

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N2 - An interference channel is said to have strong interference if a certain pair of mutual information inequalities are satisfied for all input distributions. These inequalities assure that the capacity of the interference channel with strong interference is achieved by jointly decoding the signal and the interference. This definition of strong interference applies to discrete memoryless, scalar and vector Gaussian interference channels. However, there exist vector Gaussian interference channels that may not satisfy the strong interference condition but for which the capacity can still be achieved by jointly decoding the signal and the interference. This kind of interference is called generally strong interference. Sufficient conditions for a vector Gaussian interference channel to have generally strong interference are derived. The sum-rate capacity and the boundary points of the capacity region are also determined.

AB - An interference channel is said to have strong interference if a certain pair of mutual information inequalities are satisfied for all input distributions. These inequalities assure that the capacity of the interference channel with strong interference is achieved by jointly decoding the signal and the interference. This definition of strong interference applies to discrete memoryless, scalar and vector Gaussian interference channels. However, there exist vector Gaussian interference channels that may not satisfy the strong interference condition but for which the capacity can still be achieved by jointly decoding the signal and the interference. This kind of interference is called generally strong interference. Sufficient conditions for a vector Gaussian interference channel to have generally strong interference are derived. The sum-rate capacity and the boundary points of the capacity region are also determined.

KW - Capacity

KW - Gaussian

KW - interference

KW - multiple-input multiple-output (MIMO)

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Capacity region of vector gaussian interference channels with generally strong interference

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