Lattice coding for signals and networks: A structured coding approach to quantization, modulation and multi-user information theory

Ram Zamir*

*Corresponding author for this work

Research output: Book/ReportBookpeer-review

213 Scopus citations


Unifying information theory and digital communication through the language of lattice codes, this book provides a detailed overview for students, researchers and industry practitioners. It covers classical work by leading researchers in the field of lattice codes and complementary work on dithered quantization and infinite constellations, and then introduces the more recent results on ‘algebraic binning’; for side-information problems, and linear/lattice codes for networks. It shows how high dimensional lattice codes can close the gap to the optimal information theoretic solution, including the characterisation of error exponents. The solutions presented are based on lattice codes, and are therefore close to practical implementations, with many advanced setups and techniques, such as shaping, entropy-coding, side-information and multi-terminal systems. Moreover, some of the network setups shown demonstrate how lattice codes are potentially more efficient than traditional random-coding solutions, for instance when generalising the framework to Gaussian networks.

Original languageEnglish
Place of PublicationCambridge
PublisherCambridge University Press
Number of pages437
ISBN (Electronic)0521766982, 1139045520, 1139984659, 1139989278, 1316000907, 1316003140, 1316005402, 1316007642, 1316009904, 131601214X, 9780521766982, 9781139045520, 9781316003145, 9781316005408, 9781316007648
ISBN (Print)9780521766982
StatePublished - 2014

ULI Keywords

  • uli
  • Coding theory
  • Lattice theory
  • Signal processing -- Mathematics
  • Lattices (Mathematics)
  • Space lattice (Mathematics)
  • Structural analysis (Mathematics)

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