TY - GEN
T1 - Coding along hermite polynomials for gaussian noise channels
AU - Abbe, Emmanuel A.
AU - Zheng, Lizhong
PY - 2009
Y1 - 2009
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=70449495673&partnerID=8YFLogxK
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U2 - 10.1109/ISIT.2009.5205789
DO - 10.1109/ISIT.2009.5205789
M3 - Conference contribution
AN - SCOPUS:70449495673
SN - 9781424443130
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 1644
EP - 1648
BT - 2009 IEEE International Symposium on Information Theory, ISIT 2009
T2 - 2009 IEEE International Symposium on Information Theory, ISIT 2009
Y2 - 28 June 2009 through 3 July 2009
ER -