Trellis precoding is a technique that combines channel trellis coding, constellation shaping, and nonlinear precoding for channels with intersymbol interference. It is an extension of the trellis shaping technique presented in Chapter 4. Eyuboğlu and Forney first presented this extension at the CSI Workshop on Advanced Communication Techniques in May 1989 [16] and then at the 1990 Information Theory Symposium [17]. An enhanced version was published in the IEEE Transactions on Information Theory in 1992 [18]. They also presented the basic ideas of trellis precoding and some test results at a CCITT V.34 committee meeting in April 1991 [52] to support their (Motorola/CODEX) proposal to make it part of the recommendation. CODEX also began manufacturing a commercial modem including trellis precoding.


Channel Code Convolutional Code Fundamental Region Voronoi Region Shaping Region 
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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Steven A. Tretter
    • 1
  1. 1.University of MarylandUSA

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