The Optimal Lattice Quantizer in Three Dimensions 1

  title={The Optimal Lattice Quantizer in Three Dimensions 1},
  author={Eleanor Barnes and N. J. A. Sloane},
The body-centered cubic lattice is shown to have the smallest mean squared error of any lattice quantizer in three dimensions, assuming that the input to the quantizer has a uniform distribution. 
Highly Cited
This paper has 74 citations. REVIEW CITATIONS

From This Paper

Figures, tables, and topics from this paper.
45 Citations
13 References
Similar Papers


Publications citing this paper.
Showing 1-10 of 45 extracted citations

74 Citations

Citations per Year
Semantic Scholar estimates that this publication has 74 citations based on the available data.

See our FAQ for additional information.


Publications referenced by this paper.
Showing 1-10 of 13 references

Version 9

  • MACSYMA Reference Manual
  • Mathlab Group, Laboratory for Computer Science…
  • 1977
Highly Influential
6 Excerpts

ALTRAN User’s Manual

  • W. S. Brown
  • Bell Laboratories, Murray Hill, N.J., 4th edition
  • 1977
Highly Influential
4 Excerpts

Geometry of numbers

  • C. G. Lekkerkerker
  • Wolters-Noordhoff Publishing, Groningen, and…
  • 1969
Highly Influential
4 Excerpts

Topics in the asymptotic quantization of continuous random variables

  • P. Zador
  • IEEE Trans. Information Theory, IT-28
  • 1982
1 Excerpt

A structural approach to vector quantization, National Telecommunications Record - 1981

  • A. Gersho
  • 1981
1 Excerpt

Fast 4- and 8-dimensional quantizers and decoders

  • J. H. Conway, N.J.A. Sloane
  • National Telecommunications Record -
  • 1981

Some recent developments in quantization theory

  • N. C. Gallagher, Jr., J. A. Bucklew
  • Proc. 12th Annual Symposium on System Theory…
  • 1980
1 Excerpt

Similar Papers

Loading similar papers…