The capacity of the frequency/time-selective fading channel

Antonia Tulino, Giuseppe Caire, Shlomo Shamai, Sergio Verdú

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


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
StatePublished - 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


OtherIEEE Information Theory Workshop 2010, ITW 2010

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computational Theory and Mathematics


  • Additive Gaussian noise
  • Channel capacity
  • Coherent communications
  • Frequency-flat fading
  • Frequency-selective fading
  • OFDM
  • Random matrices
  • Waterfilling


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