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

fYear

2007

fDate

24-29 June 2007

Firstpage

26

Lastpage

30

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Information Theory, 2007. ISIT 2007. IEEE International Symposium on

Conference_Location

Nice

Print_ISBN

978-1-4244-1397-3

Type

conf

DOI

10.1109/ISIT.2007.4557077

Filename

4557077