Projects per year
Abstract
This work surveys the recent progresses in construction of multilevel lattices for computeandforward (C&F) and lattice network coding (LNC). This includes Construction π_{A} and elementary divisor construction (a.k.a. Construction π_{D}). Some important properties such as kissing numbers, nominal coding gains, goodness of channel coding, and efficient decoding algorithms of these constructions are also discussed. We then present a multilevel framework of C&F where each user adopts the same nested lattice codes from Construction π_{A}. The achievable computation rate of the proposed multilevel nested lattice codes under multistage decoding is analyzed. We also study the multilevel structure of LNC, which serves as the theoretical basis for solving the ringbased LNC problem in practice. Simulation results show the large potential of using iterative multistage decoding to approach the capacity.
Original language  English 

Title of host publication  Mathematical Engineering 
Editors  Victor Beresnevich, Alister Burr, Bobak Nazer, Sanju Velani 
Publisher  Springer 
Pages  201240 
ISBN (Electronic)  9783030613037 
ISBN (Print)  9783030613020, 9783030613051 
DOIs  
Publication status  Published  2020 
Publication series
Name  Mathematical Engineering 

ISSN (Print)  21924732 
ISSN (Electronic)  21924740 
Bibliographical note
Publisher Copyright:© 2020, Springer Nature Switzerland AG.
Projects
 1 Finished

Network coded modulation for next generation wireless access networks
18/11/13 → 31/07/17
Project: Research project (funded) › Research