Fast quantizing and decoding and algorithms for lattice quantizers and codes

  • Authors:
  • J. Conway;N. Sloane

  • Affiliations:
  • -;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

Quantified Score

Hi-index 754.84

Visualization

Abstract

For each of the latticesA_{n}(n geq 1), D_{n}(n geq 2), E_{6}, E_{7}, E_{8}, and their duals a very fast algorithm is given for finding the closest lattice point to an arbitrary point. If these lattices are used for vector quantizing of uniformly distributed data, the algorithm finds the minimum distortion lattice point. If the lattices are used as codes for a Gaussian channel, the algorithm performs maximum likelihood decoding.