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Efficient decoding algorithm for affine reflection group codes of rank 2

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3 Author(s)
Terasan Niyomsataya ; School of Information Technology and Engineering, University of Ottawa, Canada ; Ali Miri ; Monica Nevins

This paper presents an efficient decoding algorithm for group codes based on affine reflection groups of rank 2. The proposed decoding algorithm works exceptionally well for a large number of codewords (or even infinite constellations) which is useful for high data rate transmission. It is derived from the geometry of the groups and is equivalent to the maximum likelihood (ML) criterion. Simulations show signal constellations obtained from affine reflection group A2 has higher symbol-error rate (SER) performance compared to QAM at the same rate.

Published in:

Communications, 2008 24th Biennial Symposium on

Date of Conference:

24-26 June 2008