On The Construcion of Geometrically Uniform Codes with LXMPSK Constellations

The Cuong DINH  Takeshi HASHIMOTO  Shuichi ITOH  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E80-A   No.3   pp.598-605
Publication Date: 1997/03/25
Online ISSN: 
DOI: 
Print ISSN: 0916-8508
Type of Manuscript: PAPER
Category: Information Theory and Coding Theory
Keyword: 
trellis coded modulation (TCM),  geometrically uniform codes,  multidimensional (MD) constellations,  permutations,  

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Summary: 
For L 2, M 8, and transmission rate R = (log2M-1) bit/sym, a method for constructing GU trellis codes with L MPSK constellations is proposed and it is shown that the maximally achievable free distance is twice larger than it was previously reported for GU codes. Basides being geometrically uniform, these codes perform as good as Pietrobon's non-GU trellis codes with multidimensional MPSK constellations.