2nd International ICST Conference on Communications and Networking in China

Research Article

Isomorphic Constructions of Tail-Biting Trellises for Linear Block Codes

  • @INPROCEEDINGS{10.1109/CHINACOM.2007.4469459,
        author={Jianqin Zhou and Tomoaki Ohtsuki},
        title={Isomorphic Constructions of Tail-Biting Trellises for Linear Block Codes},
        proceedings={2nd International ICST Conference on Communications and Networking in China},
        publisher={IEEE},
        proceedings_a={CHINACOM},
        year={2008},
        month={3},
        keywords={Block codes  Computer science  Labeling  Polynomials  Time measurement},
        doi={10.1109/CHINACOM.2007.4469459}
    }
    
  • Jianqin Zhou
    Tomoaki Ohtsuki
    Year: 2008
    Isomorphic Constructions of Tail-Biting Trellises for Linear Block Codes
    CHINACOM
    IEEE
    DOI: 10.1109/CHINACOM.2007.4469459
Jianqin Zhou1,*, Tomoaki Ohtsuki2,*
  • 1: Department of Computer Science Anhui University of Technology Ma’anshan, 243002 China
  • 2: Department of Information and Computer Science Keio University Yokohama, 223-8522 Japan
*Contact email: zhou9@yahoo.com, ohtsuki@ics.keio.ac.jp

Abstract

In this paper, a new approach of constructing tailbiting trellises for linear block codes is presented. It is proved that any minimal tail-biting trellis can be constructed by the recursive process of uniting two isomorphic subgraphs from the well-known Bahl-Cocke-Jelinek-Raviv(BCJR) constructed conventional trellises. Furthermore, several properties of isomorphic constructions of tail-biting trellises are discussed.