TY - CHAP
U1 - Konferenzveröffentlichung
A1 - Freudenberger, Jürgen
A1 - Shavgulidze, Sergo
T1 - New signal constellations for coding over Lipschitz integers
T2 - SCC 2015; 10th International ITG Conference on Systems, Communications and Coding, 2-5 Feb. 2015, Hamburg, Germany
N2 - Codes over quotient rings of Lipschitz integers have recently attracted some attention. This work investigates the performance of Lipschitz integer constellations for transmission over the AWGN channel by means of the constellation figure of merit. A construction of sets of Lipschitz integers is presented that leads to a better constellation figure of merit compared to ordinary Lipschitz integer constellations. In particular, it is demonstrated that the concept of set partitioning can be applied to quotient rings of Lipschitz integers where the number of elements is not a prime number. It is shown that it is always possible to partition such quotient rings into additive subgroups in a manner that the minimum Euclidean distance of each subgroup is strictly larger than in the original set. The resulting signal constellations have a better performance for transmission over an additive white Gaussian noise channel compared to Gaussian integer constellations and to ordinary Lipschitz integer constellations.
Y1 - 2015
UR - http://ieeexplore.ieee.org/document/7052102/
SN - 978-3-8007-3659-1
SB - 978-3-8007-3659-1
N1 - Volltextzugriff für Hochschulangehörige via Datenbank IEEE Xplore
SP - 1
EP - 6
ER -