5th International ICST Conference on Communications and Networking in China

Research Article

Irregular repetition and single parity check coded BICM-ID using extended mapping -Optimal node degree allocation-

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  • @INPROCEEDINGS{10.4108/chinacom.2010.103,
        author={Kisho Fukawa and Dan Zhao and Antti Tolli and Tad Matsumoto},
        title={Irregular repetition and single parity check coded BICM-ID using extended mapping -Optimal node degree allocation-},
        proceedings={5th International ICST Conference on Communications and Networking in China},
        publisher={IEEE},
        proceedings_a={CHINACOM},
        year={2011},
        month={1},
        keywords={Decoding Receivers},
        doi={10.4108/chinacom.2010.103}
    }
    
  • Kisho Fukawa
    Dan Zhao
    Antti Tolli
    Tad Matsumoto
    Year: 2011
    Irregular repetition and single parity check coded BICM-ID using extended mapping -Optimal node degree allocation-
    CHINACOM
    ICST
    DOI: 10.4108/chinacom.2010.103
Kisho Fukawa1,*, Dan Zhao1,*, Antti Tolli2,*, Tad Matsumoto1,2,a,*
  • 1: Japan Advanced Institute of Science and Technology (JAIST), Japan
  • 2: Center for Wireless Communication at University of Oulu, Finland
  • a: second email: tadashi.matsumoto@ee.oulu.fi
*Contact email: k.fukawa@jaist.ac.jp, dan.zhao@jaist.ac.jp, antti.tolli@ee.oulu.fi, matumoto@jaist.ac.jp

Abstract

Since BICM-ID is a concatenation between channel coding and mapping, its performances strongly depend on the matching between mapping rule and code structure. In our previous papers, we proposed a yet very simple, close Shannon-limit achieving BICM-ID system. It uses very simple codes, irregular repetition and single parity check codes, combined with extended mapping. Even though we know that the key role played towards the optimal design of the proposed code is the degree allocation for variable nodes, the irregular degree allocation to the node degrees were determined only empirically, by try-and-error. This paper shows that the problem of the optimal degree allocation for the proposed BICM-ID technique can be solved by using linear programming technique. Results shows we can achieve better matching between the de-mapper and decoder curves, by which we can achieve even closer threshold to the Shannon limit and also lower error floor.