Coding Along Hermite Polynomials for Gaussian Noise Channels
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.
WOS:000280141401041
2009
1644
1648
REVIEWED
Event name | Event place | Event date |
Seoul, SOUTH KOREA | Jun 28-Jul 03, 2009 | |