Coding along hermite polynomials for gaussian noise channels
Name
Abbe-2009-Coding along hermite polynomials for gaussian noise channels.pdf
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636.06 KB
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Author(s)
Abbe, Emmanuel A.
Zheng, Lizhong
Date Issued
August 2009
Journal
IEEE International Symposium on Information Theory, 2009. ISIT 2009
Publisher
Institute of Electrical and Electronics Engineers
Citation
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.
Version
Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Massachusetts Institute of Technology. Laboratory for Information and Decision Systems
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
http://dx.doi.org/10.1109/ISIT.2009.5205789
