Capacity bounds for the Gaussian Interference Channel

By Abolfazl Seyed Motahari, Amir Keyvan Khandani. 2008 IEEE International Symposium on Information Theory, 2008

471 citations recorded by the source corpus.

The capacity region of the two-user Gaussian interference channel (IC) is studied. Two classes of channels are considered: weak and mixed Gaussian IC. For the weak Gaussian IC, a new outer bound on the capacity region is obtained that outperforms previously known outer bounds. The sum capacity for a certain range of channel parameters is derived. For this range, it is proved that using Gaussian codebooks and treating interference as noise is optimal. It is shown that when Gaussian codebooks are used, the full Han-Kobayashi (HK) achievable rate region can be obtained by using the naive HK achievable scheme over three frequency bands. For the mixed Gaussian IC, a new outer bound is obtained that outperforms previously known outer bounds. For this case, the sum capacity for the entire range of channel parameters is derived. It is proved that the full HK achievable rate region using Gaussian codebooks is equivalent to that of the one-sided Gaussian IC for a particular range of channel parameters.

Subfields: Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/f7ebd98211901ab396b124e2ee2849d10ce65f23

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Citations in the corpus

Real Interference Alignment: Exploiting the Potential of Single Antenna Systems (2009, background): “Although partial capacity results on the interference channel are recently derived, c.f. [5]–[7], the problem of characterizing the capacity region of the Gaussian Interference Channel (GIC) is still open.”
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].”
Gaussian Interference Networks: Sum Capacity in the Low-Interference Regime and New Outer Bounds on the Capacity Region (2008, background): “We tighten the bound for a three-user symmetric Gaussian interference channel, and demonstrate the existence of channels for which treating interference as noise is optimal, but the total interference to noise ratio (INR) is greater than the INR threshold of the two-user interference channel.”
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].”