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)
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.
张建勇, 延凤平. 比特交织编码调制(迭代译码)系统标识映射的对称性研究与应用[J]. 电子与信息学报, 2014, 36(1): 48-54.
Zhang Jian-Yong, Yan Feng-Ping. The Symmetries of Mappings of Bit-interleaved Coded Modulation (with Iterative Decoding) Systems and Its Applications. , 2014, 36(1): 48-54.
2014, Vol. 36 
