Group trellis codes over multidimensional unbalanced PSK and their optimality

Author

Benedetto, Sergio ; Garello, Roberto ; Mondin, Marina

Author_Institution

Dipartimento di Elettronica, Politecnico di Torino, Italy

Volume

43

Issue

12

fYear

1995

fDate

12/1/1995 12:00:00 AM

Firstpage

2922

Lastpage

2932

Abstract

New geometrically uniform trellis codes over multidimensional unbalanced 4-, 8-, and 16-PSK constellations, obtained with the group code approach, are presented. They improve by up to 1.25 dB the asymptotic performance of the best known trellis codes over multidimensional balanced PSK. To check their “optimality”, an upper bound on the free distance of group trellis codes is derived. Some of the new codes achieve the largest obtainable free distance, and several others are close to the bound. Exploiting the symmetry properties of the codes, curves of tight upper bounds to the error probability are also presented

Keywords

coding errors; group theory; optimisation; phase shift keying; probability; trellis codes; 16-PSK; 4-PSK; 8-PSK; asymptotic performance; error probability; free distance; geometrically uniform trellis codes; group theory; group trellis codes; multidimensional balanced PSK; multidimensional unbalanced PSK; optimality; symmetry properties; tight upper bounds; Communications Society; Constellation diagram; Convolutional codes; Error probability; Euclidean distance; Multidimensional systems; Performance evaluation; Phase shift keying; Telecommunications; Upper bound;

fLanguage

English

Journal_Title

Communications, IEEE Transactions on

Publisher

ieee

ISSN

0090-6778

Type

jour

DOI

10.1109/26.477494

Filename

477494