Optimal precoding for digital subscriber lines

Fernando Pérez-Cruz, Miguel R.D. Rodrigues, Sergio Verdú

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

18 Scopus citations


We determine the linear precoding policy that maximizes the mutual information for general multiple-input multiple-output (MIMO) Gaussian channels with arbitrary input distributions, by capitalizing on the relationship between mutual information and minimum mean squared error (MMSE). The optimal linear precoder can be computed by means of a fixed-point equation as a function of the channel and the input constellation.We show that diagonalizing the channel matrix does not maximize the information transmission rate for nonGaussian inputs. A full precoding matrix may significantly increase the information transmission rate, even for parallel non-interacting channels. We illustrate the application of our results to typical Gigabit DSL systems.

Original languageEnglish (US)
Title of host publicationICC 2008 - IEEE International Conference on Communications, Proceedings
Number of pages5
StatePublished - 2008
EventIEEE International Conference on Communications, ICC 2008 - Beijing, China
Duration: May 19 2008May 23 2008

Publication series

NameIEEE International Conference on Communications
ISSN (Print)0536-1486


OtherIEEE International Conference on Communications, ICC 2008

All Science Journal Classification (ASJC) codes

  • Computer Networks and Communications
  • Electrical and Electronic Engineering


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