On the Szeg\"o-Asymptotics for Doubly-Dispersive Gaussian Channels
Information Theory
2011-06-10 v3 math.IT
Abstract
We consider the time-continuous doubly-dispersive channel with additive Gaussian noise and establish a capacity formula for the case where the channel correlation operator is represented by a symbol which is periodic in time and fulfills some further integrability and smoothness conditions. The key to this result is a new Szeg\"o formula for certain pseudo-differential operators. The formula justifies the water-filling principle along time and frequency in terms of the time--continuous time-varying transfer function (the symbol).
Keywords
Cite
@article{arxiv.1102.5253,
title = {On the Szeg\"o-Asymptotics for Doubly-Dispersive Gaussian Channels},
author = {Peter Jung},
journal= {arXiv preprint arXiv:1102.5253},
year = {2011}
}
Comments
5 pages, to be presented at ISIT 2011, minor typos corrected, references updated