Parametric Lattices Are Better Quantizers in Dimensions 13 and 14
Artikel i vetenskaplig tidskrift, 2026
New lattice quantizers with lower normalized second moments than previously reported are constructed in 13 and 14 dimensions and conjectured to be optimal. Our construction combines an initial numerical optimization with a subsequent analytical optimization of families of lattices, whose Voronoi regions are constructed exactly. The new lattices are constructed from glued products of previously known lattices, by scaling the component lattices and then optimizing the scale factors. A two-parameter family of lattices in 13 dimensions reveals an intricate landscape of phase changes as the parameters are varied.
lattice quantization
moment of inertia
quantization constant
lattice theory
vector quantization
parametric lattice
theta image
gluing theory
quantization error
Voronoi region
lattice design
mean square error
normalized second moment
Författare
Daniel Pook-Kolb
Max-Planck-Gesellschaft
Leibniz Universität Hannover
Erik Agrell
Chalmers, Elektroteknik, Kommunikation, Antenner och Optiska Nätverk
Bruce Allen
Leibniz Universität Hannover
Max-Planck-Gesellschaft
IEEE Transactions on Information Theory
0018-9448 (ISSN) 1557-9654 (eISSN)
Vol. In PressÄmneskategorier (SSIF 2025)
Datavetenskap (datalogi)
DOI
10.1109/TIT.2026.3721285