Six-dimensional trellis-coding with QAM signal sets

Author

Chouly, Antoine ; Sari, Hikmet

Author_Institution

Lab. d´´Electrotech. Philips, Limeil-Brevannes, France

Volume

40

Issue

1

fYear

1992

fDate

1/1/1992 12:00:00 AM

Firstpage

24

Lastpage

33

Abstract

A family of 6-D trellis-coded modulation (TCM) schemes which involve a 2-step partitioning of the constituent QAM signal alphabet is presented. With infinite constellations without shaping, the asymptotic coding gain is 3 dB for the 2-state code, 4 dB for the 4- and 8-state codes, and 5 dB for the 16- and 32-state codes which involve a smaller alphabet expansion. The authors also describe a rotationally invariant 16-state code that achieves the same asymptotic gain as its linear counterpart. Practical signal constellations are described for 6-D TCM with the spectral efficiency of uncoded 64-QAM, and the performance of these schemes is studied by means of computer simulations. It was found that they achieve an additional coding gain of 0.2-0.3 dB over infinite hypercube-type constellations. The performance of the presented schemes at practical signal-to-noise ratio values is evaluated using transfer function techniques

Keywords

amplitude modulation; codes; encoding; 16-state code; 2-state code; 32-state codes; 4-state code; 6-D trellis-coded modulation; 8-state codes; QAM signal sets; SNR; TCM; asymptotic coding gain; computer simulations; rotationally invariant code; signal constellations; signal-to-noise ratio; spectral efficiency; transfer function; trellis coding; Constellation diagram; Convolutional codes; Gain; Linear code; Multidimensional systems; Phase shift keying; Quadrature amplitude modulation; Signal to noise ratio; Transfer functions; Two dimensional displays;

fLanguage

English

Journal_Title

Communications, IEEE Transactions on

Publisher

ieee

ISSN

0090-6778

Type

jour

DOI

10.1109/26.126704

Filename

126704