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On Achievable Rates of the Two-user Symmetric Gaussian Interference Channel

2010/10/12 by Omar Mehanna, Mehanna, Omar, John Marcos +3
Computer Science · Engineering · Mathematics · #Advanced MIMO Systems Optimization #FOS: Computer and information sciences #Information Theory (cs.IT) #Molecular Communication and Nanonetworks #Wireless Communication Security Techniques #cs.IT #math.IT

paper · pdf · doi:10.48550/arxiv.1010.2437

7 pages, to appear in Allerton 2010

arxiv created 2010/10/12 · openalex publication_date 2010/10/12 · arxiv updated 2010/10/13 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

Abstract

We study the Han-Kobayashi (HK) achievable sum rate for the two-user symmetric Gaussian interference channel. We find the optimal power split ratio between the common and private messages (assuming no time-sharing), and derive a closed form expression for the corresponding sum rate. This provides a finer understanding of the achievable HK sum rate, and allows for precise comparisons between this sum rate and that of orthogonal signaling. One surprising finding is that despite the fact that the channel is symmetric, allowing for asymmetric power split ratio at both users (i.e., asymmetric rates) can improve the sum rate significantly. Considering the high SNR regime, we specify the interference channel value above which the sum rate achieved using asymmetric power splitting outperforms the symmetric case.

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