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| The Symmetries of Mappings of Bit-interleaved Coded Modulation (with Iterative Decoding) Systems and Its Applications |
| Zhang Jian-yong Yan Feng-ping |
①(Key Lab of All Optical Network & Advanced Telecommunication Network of Ministry of Education of the People’s Republic of China, Beijing Jiaotong University, Beijing 100044, China)
②(Institute of Lightwave Technology, Beijing Jiaotong University, Beijing 100044, China) |
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Abstract Based on the group theory, the symmetries of mappings of Bit-Interleaved Coded Modulation (or with Iterative Decoding) systems (BICM(-ID)) are studied. Firstly, the definitions of the symmetries of mappings for BICM (-ID) are given. The symmetries of binary labels of a mapping are the intrinsic properties of BICM(-ID), which are isomorphic to the symmetry group of a hypercube of order m. According to the symmetries of BICM (-ID), an Improved Binary Switch Algorithm (IBSA) is proposed. The search space of IBSA is a transversal of the symmetry group of mappings. Consequently, the efficiency of IBSA is improved compared to the traditional BSA. Finally, Simulation results of a 16-ary two dimensional constellation show that the search efficiency of IBSA can be improved about 4% during 40000 trials. For 32-PSK, the results show that the search efficiency can be improved at least 3.5% and the time required to calculate a single mapping is shorten about 4000 times.
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Received: 26 March 2013
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Corresponding Authors:
Zhang Jian-yong
E-mail: jyzhang@bjtu.edu.cn
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2014, Vol. 36 
