Coding along hermite polynomials for interference channels

Emmanuel A. Abbe, Lizhong Zheng

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations


This paper analyzes the use of non-Gaussian input distributions over the Gaussian interference channel. It has been recently proved that the iid Gaussian code ensemble together with a decoder that treats interference as noise is sum-capacity achieving, if the interference is below a threshold. We show that, when the decoder treats interference as noise, and when the interference is above a threshold, the iid Gaussian ensemble can be strictly improved upon. In the block synchronous setting, the improvement is obtained by a Gaussian but non iid ensemble, whereas in the asynchronous setting, it is obtained by an iid but non Gaussian ensemble. The analysis of non-Gaussian ensembles is made possible by the use of the Hermite coordinate system.

Original languageEnglish (US)
Title of host publication2009 IEEE Information Theory Workshop, ITW 2009
Number of pages5
StatePublished - Dec 7 2009
Event2009 IEEE Information Theory Workshop, ITW 2009 - Taormina, Sicily, Italy
Duration: Oct 11 2009Oct 16 2009

Publication series

Name2009 IEEE Information Theory Workshop, ITW 2009


Other2009 IEEE Information Theory Workshop, ITW 2009
CityTaormina, Sicily

All Science Journal Classification (ASJC) codes

  • Computational Theory and Mathematics
  • Computer Networks and Communications
  • Information Systems
  • Electrical and Electronic Engineering


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