On Gaussian Multiple Access Channels with Interference: Achievable Rates and Upper Bounds

We study the interaction between two interfering Gaussian 2-user multiple access channels. The capacity region is characterized under mixed strong-extremely strong interference and individually very strong interference. Furthermore, the sum capacity is derived under a less restricting definition of very strong interference. Finally, a general upper bound on the sum capacity is provided, which is nearly tight for weak cross links.

[1]  Gerhard Kramer,et al.  A New Outer Bound and the Noisy-Interference Sum–Rate Capacity for Gaussian Interference Channels , 2007, IEEE Transactions on Information Theory.

[2]  Changho Suh,et al.  Interference Alignment for Cellular Networks , 2008, 2008 46th Annual Allerton Conference on Communication, Control, and Computing.

[3]  Syed Ali Jafar,et al.  Interference Alignment With Asymmetric Complex Signaling—Settling the Høst-Madsen–Nosratinia Conjecture , 2009, IEEE Transactions on Information Theory.

[4]  Rudolf Ahlswede,et al.  Multi-way communication channels , 1973 .

[5]  Sennur Ulukus,et al.  Capacity bounds for the Gaussian interference channel with transmitter cooperation , 2009, 2009 IEEE Information Theory Workshop on Networking and Information Theory.

[6]  Aydano B. Carleial,et al.  A case where interference does not reduce capacity (Corresp.) , 1975, IEEE Trans. Inf. Theory.

[7]  Henry Herng-Jiunn Liao,et al.  Multiple access channels (Ph.D. Thesis abstr.) , 1973, IEEE Trans. Inf. Theory.

[8]  Daniela Tuninetti,et al.  On Gaussian Interference Channels with mixed interference , 2008 .

[9]  Thomas M. Cover,et al.  Elements of Information Theory , 2005 .

[10]  Aydano B. Carleial,et al.  Interference channels , 1978, IEEE Trans. Inf. Theory.

[11]  Hiroshi Sato,et al.  The capacity of the Gaussian interference channel under strong interference , 1981, IEEE Trans. Inf. Theory.

[12]  Venugopal V. Veeravalli,et al.  Gaussian interference networks: sum capacity in the low-interference regime and new outer bounds on the capacity region , 2009, IEEE Trans. Inf. Theory.