Strong Interference Alignment

Interference alignment (IA) adjusts signaling scheme such that all interfering signals are squeezed in interference subspace. IA mostly achieves its performance via infinite extension of the channel, which is a major challenge for IA in practical systems. In this paper, we make part of interference very strong and achieve perfect IA within limited number of channel extensions. A single-hop $3$ user single antenna interference channel (IFC) is considered and it is shown that only one of the interfering signal streams needs to be strong so that perfect IA is feasible.

[1]  Amir K. Khandani,et al.  Communication Over MIMO X Channels: Interference Alignment, Decomposition, and Performance Analysis , 2008, IEEE Transactions on Information Theory.

[2]  Amir K. Khandani,et al.  Capacity bounds for the Gaussian Interference Channel , 2008, 2008 IEEE International Symposium on Information Theory.

[3]  Kai-Kit Wong,et al.  Joint Antenna Selection and Spatial Switching for Energy Efficient MIMO SWIPT System , 2016, IEEE Transactions on Wireless Communications.

[4]  Syed Ali Jafar,et al.  A Distributed Numerical Approach to Interference Alignment and Applications to Wireless Interference Networks , 2011, IEEE Transactions on Information Theory.

[5]  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.

[6]  Arogyaswami Paulraj,et al.  Opportunistic Interference Alignment for MIMO Interfering Multiple-Access Channels , 2013, IEEE Transactions on Wireless Communications.

[7]  Syed Ali Jafar,et al.  On the Optimality of Treating Interference as Noise: Compound Interference Networks , 2016, IEEE Transactions on Information Theory.

[8]  H. Vincent Poor,et al.  Ergodic Fading Interference Channels: Sum-Capacity and Separability , 2009, IEEE Transactions on Information Theory.

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

[10]  A. Maddah-AliM.,et al.  Communication Over MIMO X Channels , 2008 .

[11]  Zhi-Quan Luo,et al.  On the Degrees of Freedom Achievable Through Interference Alignment in a MIMO Interference Channel , 2011, IEEE Transactions on Signal Processing.

[12]  Michael Gastpar,et al.  Ergodic Interference Alignment , 2012, IEEE Trans. Inf. Theory.

[13]  Dongfeng Yuan,et al.  Interference Alignment Transceiver Design by Minimizing the Maximum Mean Square Error for MIMO Interfering Broadcast Channel , 2016, IEEE Transactions on Vehicular Technology.

[14]  Giuseppe Caire,et al.  Cellular Interference Alignment , 2015, IEEE Trans. Inf. Theory.

[15]  Uri Erez,et al.  The Approximate Sum Capacity of the Symmetric Gaussian $K$ -User Interference Channel , 2012, IEEE Transactions on Information Theory.

[16]  Martin Haenggi,et al.  Superposition Coding Strategies: Design and Experimental Evaluation , 2012, IEEE Transactions on Wireless Communications.

[17]  Vahid Tabataba Vakili,et al.  Channel Aided Interference Alignment , 2017, IET Signal Process..

[18]  Syed Ali Jafar,et al.  Interference Alignment and Degrees of Freedom of the $K$-User Interference Channel , 2008, IEEE Transactions on Information Theory.

[19]  Shlomo Shamai,et al.  Degrees of Freedom Region of the MIMO $X$ Channel , 2008, IEEE Transactions on Information Theory.

[20]  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.

[21]  Bang Chul Jung,et al.  Opportunistic Interference Alignment for Interference-Limited Cellular TDD Uplink , 2011, IEEE Communications Letters.

[22]  Uri Erez,et al.  The Approximate Sum Capacity of the Symmetric Gaussian $K$ -User Interference Channel , 2014, IEEE Trans. Inf. Theory.

[23]  Sriram Vishwanath,et al.  Capacity of Symmetric K-User Gaussian Very Strong Interference Channels , 2008, IEEE GLOBECOM 2008 - 2008 IEEE Global Telecommunications Conference.

[24]  Aydin Sezgin,et al.  Expanded GDoF-optimality Regime of Treating Interference as Noise in the $M\times 2$ X-Channel , 2017, IEEE Transactions on Information Theory.

[25]  R. Sarpong,et al.  Bio-inspired synthesis of xishacorenes A, B, and C, and a new congener from fuscol† †Electronic supplementary information (ESI) available. See DOI: 10.1039/c9sc02572c , 2019, Chemical science.

[26]  Sriram Vishwanath,et al.  Generalized Degrees of Freedom of the Symmetric Gaussian $K$ User Interference Channel , 2010, IEEE Transactions on Information Theory.

[27]  Victor C. M. Leung,et al.  Interference Alignment and Its Applications: A Survey, Research Issues, and Challenges , 2016, IEEE Communications Surveys & Tutorials.

[28]  Te Sun Han,et al.  A new achievable rate region for the interference channel , 1981, IEEE Trans. Inf. Theory.