Geometrically uniform codes

GD Forney - IEEE Transactions on Information Theory, 1991 - ieeexplore.ieee.org
… In Section IV, we show that when a geometrically uniform partition is … code C over A, the
result is a geometrically uniform code in sequence space, called a generalized coset code. Most …

[HTML][HTML] Geometrically uniform hyperbolic codes

H Lazari, R Palazzo Jr - Computational & Applied Mathematics, 2005 - SciELO Brasil
… In this paper we generalize the concept of geometrically uniform codes, formerly
employed in Euclidean spaces, to hyperbolic spaces. We also show a characterization of …

Hyperbolic geometrically uniform codes and Ungerboeck partitioning on the double torus

EMV Gomes, ED de Carvalho, CAR Martins… - Symmetry, 2022 - mdpi.com
… Through tiling groups, this paper presents labelings for geometrically uniform codes on
the double torus. This approach provides at least one labeling group for all the 11 regular …

A general framework for geometrically uniform codes and signal sets matched to groups

EMV Gomes, ED de Carvalho, CAR Martins… - Symmetry, 2022 - mdpi.com
Geometrically uniform codes are fundamental in communication systems, mainly for modulation.
Typically, geometrically uniform codes … groups and geometrically uniform codes with a …

Geometrically uniform frames

YC Eldar, H Bolcskei - IEEE Transactions on Information …, 2003 - ieeexplore.ieee.org
… In Section IX, we consider distance properties of GU frames, which may be of interest when
using GU frames for code design (group codes) [18], [19]. In particular, we introduce a class …

On strictly geometrically uniform codes: Construction and new codes

OY Takeshita, H Imai - IEICE transactions on fundamentals of …, 1997 - search.ieice.org
… SUMMARY Geometrically Uniform (GU) codes have been a center of attention because their
… a class of GU codes that we call Strictly Geometrically Uniform (SGU) codes. Our studies …

A geometric construction procedure for geometrically uniform trellis codes

Y Lévy, DJ Costello - IEEE Transactions on Information Theory, 1996 - ieeexplore.ieee.org
… method of constructing GU trellis codes based on a geometric approach. The most important
… , we must consider another type of geometric uniformity called "geometrically uniform up to …

[PDF][PDF] Geometrically uniform space-time codes

YS Jung, JH Lee - IEEE International Symposium on Information …, 2003 - scholar.archive.org
… the geometrically uniform Such codes have the space-time codes in MIMO channels. … surely
distinguishable, we focus on the geometrical uniformity in distinguishable channel matrices. …

Geometrical uniformity of a class of space-time trellis codes

Z Yan, DM Ionescu - IEEE transactions on information theory, 2004 - ieeexplore.ieee.org
Geometrical uniformity of a code is a sufficient condition for certain useful properties; for …
if a code is geometrically uniform. Further details about geometrically uniform codes can be …

Geometrically uniform trellis codes for noncoherent detection

D Raphaeli, G Sitton, I Taler - IEEE transactions on wireless …, 2004 - ieeexplore.ieee.org
codes for the coherent detection. These codes are called geometrically uniform (GU) codes.
… the conventional GU codes may no longer satisfy the UEP. There is a an extended family of …