Lattice Coding for Signals and Networks
A Structured Coding Approach to Quantization, Modulation and Multiuser Information Theory

Links information theory and digital communication through the language of lattice codes, featuring many advanced practical setups and techniques.

Ram Zamir (Author), Bobak Nazer (Contributions by), Yuval Kochman (Contributions by), Ilai Bistritz (Illustrated by)

9780521766982, Cambridge University Press

Hardback, published 7 August 2014

454 pages, 138 b/w illus. 11 tables 110 exercises
25.4 x 18 x 2.4 cm, 1.03 kg

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.

1. Introduction
2. Lattices
3. Figures of merit
4. Dithering and estimation
5. Entropy-coded quantization
6. Infinite constellation for modulation
7. Asymptotic goodness
8. Nested lattices
9. Lattice shaping
10. Side-information problems
11. Modulo-lattice modulation with Yuval Kochman
12. Gaussian networks with Bobak Nazer
13. Error exponents.

Subject Areas: Communications engineering / telecommunications [TJK], Electronics & communications engineering [TJ], Applied mathematics [PBW], Coding theory & cryptology [GPJ], Information theory [GPF]