An Arrangement Technique of Gray-Code Table for Signal Constellation of Modified QAM and Triangular-Shaped Signal Set

Takaya YAMAZATO  Shinjiro OSHITA  Iwao SASASE  Shinsaku MORI  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E74-A   No.9   pp.2579-2585
Publication Date: 1991/09/25
Online ISSN: 
Print ISSN: 0916-8508
Type of Manuscript: Special Section PAPER (Special Issue on Information Theory and Its Applications)

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An arrangement technique of Gray-code table for signal constellations of modified QAM and Triangular-Shaped Signal Set is proposed. This is an optimum mapping technique for both two dimensional rectangular and hexagonal lattice-based constellations which cannot adapt the conventional Gray-code mapping. As our technique achieves most of neighboring symbols differ by one bit, the bit-error-probability (BEP) of the system becomes nearly equal to the symbol-error-probability (SEP). Furthermore, in consideration of this technique, we can have a constellation by which all neighboring symbols differ only by one bit for the rectangular lattice based constellation, but error-performances are worse than those of the original constellations because of a decrease of the corresponding decision regions.