Glued lattices are better quantizers than K 12
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| Názov: | Glued lattices are better quantizers than K 12 |
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| Autori: | Agrell, Erik, 1965, Pook-Kolb, Daniel, Allen, Bruce |
| Zdroj: | IEEE Transactions on Information Theory. 70(11):8414-8418 |
| Predmety: | Block codes, vector quantization, moment of inertia, glue vectors, Reflection, normalized second moment, Voronoi region, quantization constant, Generators, Physics, Lattices, Coxeter–Todd lattice, gluing theory, mean square error, product lattice, Symmetric matrices, Vectors, lattice theory, quantization error |
| Popis: | 40 years ago, Conway and Sloane proposed using the highly symmetrical Coxeter–Todd lattice K 12 for quantization, and estimated its second moment. Since then, all published lists identify K 12 as the best 12-dimensional lattice quantizer. Surprisingly, K 12 is not optimal: we construct two new 12-dimensional lattices with lower normalized second moments. The new lattices are obtained by gluing together products of two 6-dimensional lattices. |
| Popis súboru: | electronic |
| Prístupová URL adresa: | https://research.chalmers.se/publication/541197 https://research.chalmers.se/publication/541197/file/541197_Fulltext.pdf |
| Databáza: | SwePub |
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Nájsť tento článok vo Web of Science | Abstrakt: | 40 years ago, Conway and Sloane proposed using the highly symmetrical Coxeter–Todd lattice K 12 for quantization, and estimated its second moment. Since then, all published lists identify K 12 as the best 12-dimensional lattice quantizer. Surprisingly, K 12 is not optimal: we construct two new 12-dimensional lattices with lower normalized second moments. The new lattices are obtained by gluing together products of two 6-dimensional lattices. |
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| ISSN: | 00189448 15579654 |
| DOI: | 10.1109/TIT.2024.3398421 |