A Coordinate System for Gaussian Networks
Author(s)Zheng, Lizhong; Abbe, Emmanuel A.
MetadataShow full item record
This paper investigates network information theory problems where the external noise is Gaussian distributed. In particular, the Gaussian broadcast channel with coherent fading and the Gaussian interference channel are considered. It is shown that in these problems, non-Gaussian code ensembles can achieve higher rates than the Gaussian ones. It is also shown that the strong Shamai-Laroia conjecture on the Gaussian ISI channel does not hold. In order to analyze non-Gaussian code ensembles over Gaussian networks, a geometrical tool using the Hermite polynomials is proposed. This tool provides a coordinate system to analyze a class of non-Gaussian input distributions that are invariant over Gaussian networks.
February 11, 2010
DepartmentMassachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
IEEE Transactions on Information Theory
Institute of Electrical and Electronics Engineers (IEEE)
Abbe, Emmanuel, and Lizhong Zheng. “A Coordinate System for Gaussian Networks.” IEEE Transactions on Information Theory 58.2 (2012): 721–733.
Author's final manuscript