2015/09/09 by Mojtaba Vaezi, H. Vincent Poor, Vaezi, Mojtaba +1
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Channel (broadcasting) #Computer science #Gaussian #Interference (communication) #Mathematics #Molecular Communication and Nanonetworks #Physics #Quantum mechanics #Statistical physics #Telecommunications #Wireless Communication Security Techniques #cs.IT #math.IT #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.1509.02953
published in arXiv (Cornell University) (Cornell University) · This paper has been withdrawn due to a flaw in the proof of the outer bound
openalex publication_date 2015/09/09 · arxiv created 2015/09/21 · arxiv updated 2015/09/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper adds to the understanding of the capacity region of the Gaussian interference channel. To this end, the capacity region of the one-sided Gaussian interference channel is first fully characterized. This is accomplished by introducing a new representation of the Han-Kobayashi region and providing a new outer bound on the capacity region of this channel which is tight both in the weak and strong interference regimes. In light of this capacity result, the capacity region of the degraded Gaussian interference channel is established immediately. Next, by combining the capacity regions of the one-sided interference channels in the weak and strong interference regimes, new outer bounds on the capacity region of the interference channel are introduced, in various interference regimes. It is then proved that the outer bound corresponding to the mixed interference regime, in which one of the receivers is subject to strong interference while the other one suffers from weak interference, is tight in a broad range of this regime. The new capacity results, on the whole, confirm the optimality of decoding part of the interference and treating the rest as noise. The optimum amount to be decoded varies from 0 to 100% of the interfering signal, depending on the relative importance of the users' rates (i.e., the ratio of weights in the weighted sum-rate), their transmission powers, and the gain of the weak interference link. Optimal values are found explicitly, based on the above parameters.