Details
| Original language | English |
|---|---|
| Pages (from-to) | 16-23 |
| Number of pages | 8 |
| Journal | IEEE Journal on Selected Areas in Information Theory |
| Volume | 4 |
| Publication status | Published - 16 May 2023 |
Abstract
We give a detailed description of the Voronoi region of the Barnes-Wall lattice Λ 16 , including its vertices, relevant vectors, and symmetry group. The exact value of its quantizer constant is calculated, which was previously only known approximately. To verify the result, we estimate the same constant numerically and propose a new very simple method to quantify the variance of such estimates, which is far more accurate than the commonly used jackknife estimator.
Keywords
- Barnes-Wall lattice, lattice quantizer, normalized second moment, quantizer constant, Voronoi region
ASJC Scopus subject areas
- Computer Science(all)
- Computer Networks and Communications
- Engineering(all)
- Media Technology
- Computer Science(all)
- Artificial Intelligence
- Mathematics(all)
- Applied Mathematics
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In: IEEE Journal on Selected Areas in Information Theory, Vol. 4, 16.05.2023, p. 16-23.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - The Voronoi Region of the Barnes-Wall Lattice Λ16
AU - Pook-Kolb, Daniel
AU - Agrell, Erik
AU - Allen, Bruce
N1 - Publisher Copyright: © 2020 IEEE.
PY - 2023/5/16
Y1 - 2023/5/16
N2 - We give a detailed description of the Voronoi region of the Barnes-Wall lattice Λ 16 , including its vertices, relevant vectors, and symmetry group. The exact value of its quantizer constant is calculated, which was previously only known approximately. To verify the result, we estimate the same constant numerically and propose a new very simple method to quantify the variance of such estimates, which is far more accurate than the commonly used jackknife estimator.
AB - We give a detailed description of the Voronoi region of the Barnes-Wall lattice Λ 16 , including its vertices, relevant vectors, and symmetry group. The exact value of its quantizer constant is calculated, which was previously only known approximately. To verify the result, we estimate the same constant numerically and propose a new very simple method to quantify the variance of such estimates, which is far more accurate than the commonly used jackknife estimator.
KW - Barnes-Wall lattice
KW - lattice quantizer
KW - normalized second moment
KW - quantizer constant
KW - Voronoi region
UR - http://www.scopus.com/inward/record.url?scp=85183803757&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2301.06092
DO - 10.48550/arXiv.2301.06092
M3 - Article
AN - SCOPUS:85183803757
VL - 4
SP - 16
EP - 23
JO - IEEE Journal on Selected Areas in Information Theory
JF - IEEE Journal on Selected Areas in Information Theory
ER -