NDLI: Approximate Capacity Region for the Symmetric Gaussian Interference Channel With Noisy Feedback

Content Provider	IEEE Xplore Digital Library
Author	Sy-Quoc Le Tandon, R. Motani, M. Poor, H.V.
Copyright Year	1963
Abstract	Recent results have shown that feedback can significantly increase the capacity of interference networks. This paper considers the impact of noise on such gains due to feedback. In particular, this paper considers the two-user linear deterministic interference channel with noisy feedback, as a stepping stone to characterize the approximate capacity region for the two-user Gaussian interference channel with noisy feedback. First, the capacity region for the symmetric linear deterministic interference channel with noisy feedback is obtained. It is shown that noisy feedback enlarges the capacity region if and only if the number of feedback bits l is greater than a certain threshold l. It is found that, excluding the regime (1/2) ≤ α ≤ 2, where α is the normalized interference level, in which even full feedback does not increase symmetric capacity, this threshold l is equal to the per-user symmetric capacity without feedback. One of the key ideas is a novel converse outer bounding technique for the weighted sum rates 2R₁ + R₂ and R₁ + 2R₂. These results and the techniques developed for the linear deterministic model are then applied to characterize inner bounds and outer bounds for the symmetric Gaussian interference channel with noisy feedback. The outer bounds are shown to be at most 4.7 b/s/Hz away from the achievable rate region. As a corollary, the generalized-degrees-of-freedom region, which approximates the capacity region of the symmetric Gaussian interference channel at high SNR, is found.
Sponsorship	IEEE Information Theory Society
Starting Page	3737
Ending Page	3762
Page Count	26
File Size	1326320
File Format	PDF
ISSN	00189448
Volume Number	61
Issue Number	7
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Noise measurement Interference channels Integrated circuit modeling Transmitters Noise degrees of freedom Channel output feedback noisy feedback interference channel capacity
Content Type	Text
Resource Type	Article
Subject	Library and Information Sciences Information Systems Computer Science Applications

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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