The capacity of the frequency/time-selective fading channel

Antonia Tulino, Giuseppe Caire, Shlomo Shamai, Sergio Verdu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We find the capacity of discrete-time channels subject to both frequency-selective and time-selective fading, where the channel output is observed in additive Gaussian noise. A coherent model is assumed where the fading coefficients are known at the receiver. Capacity depends on the first-order distributions of the fading processes in frequency and in time, which are assumed to be independent of each other, and a simple formula is given when one of the processes is iid and the other one is sufficiently mixing. When the frequency-selective fading coefficients are known also to the transmitter, we show that the optimum normalized power spectral density is the waterfilling power allocation for a reduced signal-to-noise ratio, where the gap to the actual signal-to-noise ratio depends on the fading distributions.

Original languageEnglish (US)
Title of host publicationIEEE Information Theory Workshop 2010, ITW 2010
DOIs
StatePublished - Jul 27 2010
EventIEEE Information Theory Workshop 2010, ITW 2010 - Cairo, Egypt
Duration: Jan 6 2010Jan 8 2010

Publication series

NameIEEE Information Theory Workshop 2010, ITW 2010

Other

OtherIEEE Information Theory Workshop 2010, ITW 2010
CountryEgypt
CityCairo
Period1/6/101/8/10

All Science Journal Classification (ASJC) codes

  • Computational Theory and Mathematics
  • Theoretical Computer Science

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    Tulino, A., Caire, G., Shamai, S., & Verdu, S. (2010). The capacity of the frequency/time-selective fading channel. In IEEE Information Theory Workshop 2010, ITW 2010 [5503142] (IEEE Information Theory Workshop 2010, ITW 2010). https://doi.org/10.1109/ITWKSPS.2010.5503142