### 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 language | English (US) |
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Title of host publication | IEEE Information Theory Workshop 2010, ITW 2010 |

DOIs | |

State | Published - Jul 27 2010 |

Event | IEEE Information Theory Workshop 2010, ITW 2010 - Cairo, Egypt Duration: Jan 6 2010 → Jan 8 2010 |

### Publication series

Name | IEEE Information Theory Workshop 2010, ITW 2010 |
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### Other

Other | IEEE Information Theory Workshop 2010, ITW 2010 |
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Country | Egypt |

City | Cairo |

Period | 1/6/10 → 1/8/10 |

### All Science Journal Classification (ASJC) codes

- Computational Theory and Mathematics
- Theoretical Computer Science

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## Cite this

*IEEE Information Theory Workshop 2010, ITW 2010*[5503142] (IEEE Information Theory Workshop 2010, ITW 2010). https://doi.org/10.1109/ITWKSPS.2010.5503142