Coding along hermite polynomials for gaussian noise channels
Author(s)Abbe, Emmanuel A.; Zheng, Lizhong
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This paper shows that the capacity achieving input distribution for a fading Gaussian broadcast channel is not Gaussian in general. The construction of non-Gaussian distributions that strictly outperform Gaussian ones, for certain characterized fading distributions, is provided. The ability of analyzing non-Gaussian input distributions with closed form expressions is made possible in a local setting. It is shown that there exists a specific coordinate system, based on Hermite polynomials, which parametrizes Gaussian neighborhoods and which is particularly suitable to study the entropic operators encountered with Gaussian noise.
DepartmentMassachusetts Institute of Technology. Department of Electrical Engineering and Computer Science; Massachusetts Institute of Technology. Laboratory for Information and Decision Systems
IEEE International Symposium on Information Theory, 2009. ISIT 2009
Institute of Electrical and Electronics Engineers
Abbe, E.A., Lizhong Zheng, "Coding along Hermite polynomials for Gaussian noise channels," Information Theory, 2009. ISIT 2009. IEEE International Symposium on, pp.1644-1648, June 28 2009-July 3 2009. © 2009 Institute of Electrical and Electronics Engineers.
Final published version
INSPEC Accession Number: 10842070