Gaussian multiaccess channels with ISI. Capacity region and multiuser water-filling

Roger S. Cheng, Sergio Verdu

Research output: Contribution to journalArticlepeer-review

277 Scopus citations


The capacity region of a two-user Gaussian multiaccess channel with intersymbol interference (ISI), where the inputs pass through respective linear systems and are then superimposed before being corrupted by an additive Gaussian noise process, is found. A novel geometrical method is given to obtain the optimal input power spectral densities and the capacity region. This method can be viewed as a nontrivial generalization of the single-user water-filling argument. We show that as in the traditional memoryless multiaccess channel, frequency-division multiaccess (FDMA), with optimally selected frequency bands for each user, achieves the total capacity of the K-user Gaussian multiaccess channel with ISI. However, the capacity region of the two-user channel with memory is, in general, not a pentagon unless the channel transfer functions for both users are identical.

Original languageEnglish (US)
Pages (from-to)773-785
Number of pages13
JournalIEEE Transactions on Information Theory
Issue number3
StatePublished - 1993

All Science Journal Classification (ASJC) codes

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences


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