On the Szegö-asymptotics for doubly-dispersive Gaussian channels
نویسنده
چکیده
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 Szegö 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).
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The Szeg\"o-Asymptotics for Doubly-Dispersive Gaussian Channels
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