Gaussian Interference Networks: Sum Capacity in the Low-Interference Regime and New Outer Bounds on the Capacity Region

By V. Sreekanth Annapureddy, Venugopal V. Veeravalli. IEEE Transactions on Information Theory, 2008

464 citations recorded by the source corpus.

Establishing the capacity region of a Gaussian interference network is an open problem in information theory. Recent progress on this problem has led to the characterization of the capacity region of a general two-user Gaussian interference channel within one bit. In this paper, we develop new, improved outer bounds on the capacity region. Using these bounds, we show that treating interference as noise achieves the sum capacity of the two-user Gaussian interference channel in a low-interference regime, where the interference parameters are below certain thresholds. We then generalize our techniques and results to Gaussian interference networks with more than two users. In particular, we demonstrate that the total interference threshold, below which treating interference as noise achieves the sum capacity, increases with the number of users.

Subfields: Biomedical Engineering, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/3cd72c83607328c34b652c323fe0aa11fa92a1ee

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Citations in the corpus

A Survey on Device-to-Device Communication in Cellular Networks (2013, background): “They consider three receive modes in cellular networks with underlay D2D communications:(i) the D2D receiver decodes the desired signal directly while treating other signals as noise [78]; (ii) the D2D receiver conceals other signals first and then decodes the desired signal [79]; and (iii) the BS r”
Wireless Information Transfer with Opportunistic Energy Harvesting (2012, background): “, decoding the interference when it is strong [7] or treating the interference as noise when it is weak [8], [9].”
A New Outer Bound and the Noisy-Interference Sum–Rate Capacity for Gaussian Interference Channels (2007, result): “We summarize the known sum–rate capacity results based on [2]–[4], the results of this paper, and the results of [17]–[19].”
Interference Alignment and Degrees of Freedom of the $K$-User Interference Channel (2008, background): “However, information theoretic validation for this approach has only recently been obtained through several concurrent works [10], [13], [14], [17].”
Breaking Spectrum Gridlock With Cognitive Radios: An Information Theoretic Perspective (2009, unknown): “, for noisy-interference, was developed in [18]–[20].”