Gaussian interference networks: Lattice alignment

This paper analyzes Gaussian interference channels with more than two users and integer channel gains, and finds a new achievable set of rates using lattice codebooks. It combines lattices with alignment schemes inspired by the ones developed for degrees of freedom (DoF) analysis and shows that similar rate gains can be achieved for finite SNR interference networks as well. In essence, this work can be seen as a generalization of the degrees of freedom alignment results in to finite SNR.

[1]  Hua Wang,et al.  Gaussian Interference Channel Capacity to Within One Bit , 2007, IEEE Transactions on Information Theory.

[2]  Gerhard Kramer,et al.  Outer bounds on the capacity of Gaussian interference channels , 2004, IEEE Transactions on Information Theory.

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

[4]  Syed Ali Jafar,et al.  Parallel Gaussian Interference Channels Are Not Always Separable , 2009, IEEE Transactions on Information Theory.

[5]  Uri Erez,et al.  Achieving 1/2 log (1+SNR) on the AWGN channel with lattice encoding and decoding , 2004, IEEE Transactions on Information Theory.

[6]  N. J. A. Sloane,et al.  Sphere Packings, Lattices and Groups , 1987, Grundlehren der mathematischen Wissenschaften.

[7]  V. Cadambe,et al.  Interference alignment with asymmetric complex signaling , 2009, 2009 47th Annual Allerton Conference on Communication, Control, and Computing (Allerton).

[8]  Syed Ali Jafar,et al.  Interference Alignment and Spatial Degrees of Freedom for the K User Interference Channel , 2007, 2008 IEEE International Conference on Communications.

[9]  Erik Ordentlich,et al.  On the Degrees-of-Freedom of the K-user Gaussian interference channel , 2009, 2009 IEEE International Symposium on Information Theory.

[10]  Michael Gastpar,et al.  The case for structured random codes in network capacity theorems , 2008, Eur. Trans. Telecommun..

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

[12]  Hans-Andrea Loeliger,et al.  Averaging bounds for lattices and linear codes , 1997, IEEE Trans. Inf. Theory.

[13]  Amir K. Khandani,et al.  Real Interference Alignment with Real Numbers , 2009, ArXiv.

[14]  Shlomo Shamai,et al.  A layered lattice coding scheme for a class of three user Gaussian interference channels , 2008, 2008 46th Annual Allerton Conference on Communication, Control, and Computing.

[15]  R. Ahlswede The Capacity Region of a Channel with Two Senders and Two Receivers , 1974 .

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