Title :
On Single Cross Error Correcting Integer Codes with Minimum-Energy Signal Constellations
Author :
Morita, H. ; Kamada, K. ; Kostadinov, H. ; van Wijngaarden, A.J.
Author_Institution :
Grad. Sch. of Inf. Syst., Univ. of Electro-Commun., Tokyo
Abstract :
Integer codes, defined over integer rings, allow the correction of single cross errors with distance 1 in a signal point constellation on a two-dimensional lattice. Several construction methods support the construction of integer codes that give constellations that have a variety of shapes. In this paper, we characterize all constellations that can be obtained from a particular integer code. In particular, we determine those that minimize the average symbol energy. In addition, we evaluate the symbol error probability when using an integer code for coded QAM constellations.
Keywords :
error correction codes; error statistics; modulation coding; quadrature amplitude modulation; coded QAM constellations; integer rings; minimum-energy signal constellations; single cross error correcting integer codes; symbol error probability; two-dimensional lattice; Constellation diagram; Error correction codes; Error probability; Informatics; Information systems; Mathematics; Quadrature amplitude modulation; Shape; Upper bound; Zinc;
Conference_Titel :
Information Theory, 2007. ISIT 2007. IEEE International Symposium on
Conference_Location :
Nice
Print_ISBN :
978-1-4244-1397-3
DOI :
10.1109/ISIT.2007.4557077
