Mapping Design for <inline-formula> <tex-math notation="LaTeX">$2^{M}$ </tex-math></inline-formula>-Ary Bit-Interleaved Polar Coded Modulation
This paper proposes a mapping design for bit-interleaved polar coded modulation (BIPCM) systems with belief propagation (BP) decoding. We first introduce a two-layer bipartite graph to represent BIPCM, where a new mapping graph linking polar graph to modulator is added to the conventional factor gra...
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| Format: | Article |
| Language: | English |
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IEEE
2019-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/8804192/ |
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| author | Qingping Yu Zhiping Shi Xingwang Li Muhammad Asif Jiayi Zhang Khaled M. Rabie |
| author_facet | Qingping Yu Zhiping Shi Xingwang Li Muhammad Asif Jiayi Zhang Khaled M. Rabie |
| author_sort | Qingping Yu |
| collection | DOAJ |
| description | This paper proposes a mapping design for bit-interleaved polar coded modulation (BIPCM) systems with belief propagation (BP) decoding. We first introduce a two-layer bipartite graph to represent BIPCM, where a new mapping graph linking polar graph to modulator is added to the conventional factor graph. Then, a mapping design is proposed and the design paradigm is to separate sub-channels with lower reliability to different stopping trees of polar codes, aiming to make sure that each stopping tree receives reliable extrinsic information from demodulator. The proposed mapping algorithm is employed for BIPCM with traditional polar codes over 16-quadrature amplitude modulation (QAM) and 256-QAM. Numerical results show that our scheme can improve the error-correcting performance compared to the conventional scheme with a random mapping. Furthermore, to meet code-length requirement of different modulation orders, we propose an efficient method to construct flexible-length polar code (FLPC) by coupling several short length polar codes with a repeat-accumulate (RA) code. Also, the proposed FLPC is employed in the BIPCM system, with the designed mapping algorithm, simulation result also reveals that the block error rate performance of proposed BIPCM scheme with BP decoding outperforms the one with successive cancellation decoding by providing a gain up to 1 dB. |
| format | Article |
| id | doaj-art-0540a46b63f745f19d7b6149b5cb81bf |
| institution | DOAJ |
| issn | 2169-3536 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj-art-0540a46b63f745f19d7b6149b5cb81bf2025-08-20T02:58:07ZengIEEEIEEE Access2169-35362019-01-01711677411678410.1109/ACCESS.2019.29357918804192Mapping Design for <inline-formula> <tex-math notation="LaTeX">$2^{M}$ </tex-math></inline-formula>-Ary Bit-Interleaved Polar Coded ModulationQingping Yu0https://orcid.org/0000-0003-0774-9295Zhiping Shi1Xingwang Li2https://orcid.org/0000-0002-0907-6517Muhammad Asif3https://orcid.org/0000-0002-9699-1675Jiayi Zhang4Khaled M. Rabie5https://orcid.org/0000-0002-9784-3703National Key Laboratory of Science and Technology on Communications, University of Electronic Science and Technology of China, Chengdu, ChinaNational Key Laboratory of Science and Technology on Communications, University of Electronic Science and Technology of China, Chengdu, ChinaSchool of Physics and Electronic Information Engineering, Henan Polytechnic University, Jiaozuo, ChinaKey Laboratory of Wireless-Optical Communication, University of Science and Technology of China, Hefei, ChinaSchool of Electronic and Information Engineering, Beijing Jiaotong University, Beijing, ChinaSchool of Electrical Engineering, Manchester Metropolitan University, Manchester, U.K.This paper proposes a mapping design for bit-interleaved polar coded modulation (BIPCM) systems with belief propagation (BP) decoding. We first introduce a two-layer bipartite graph to represent BIPCM, where a new mapping graph linking polar graph to modulator is added to the conventional factor graph. Then, a mapping design is proposed and the design paradigm is to separate sub-channels with lower reliability to different stopping trees of polar codes, aiming to make sure that each stopping tree receives reliable extrinsic information from demodulator. The proposed mapping algorithm is employed for BIPCM with traditional polar codes over 16-quadrature amplitude modulation (QAM) and 256-QAM. Numerical results show that our scheme can improve the error-correcting performance compared to the conventional scheme with a random mapping. Furthermore, to meet code-length requirement of different modulation orders, we propose an efficient method to construct flexible-length polar code (FLPC) by coupling several short length polar codes with a repeat-accumulate (RA) code. Also, the proposed FLPC is employed in the BIPCM system, with the designed mapping algorithm, simulation result also reveals that the block error rate performance of proposed BIPCM scheme with BP decoding outperforms the one with successive cancellation decoding by providing a gain up to 1 dB.https://ieeexplore.ieee.org/document/8804192/Polar codesbit-interleaved polar coded modulation (BIPCM)belief propagation decoding |
| spellingShingle | Qingping Yu Zhiping Shi Xingwang Li Muhammad Asif Jiayi Zhang Khaled M. Rabie Mapping Design for <inline-formula> <tex-math notation="LaTeX">$2^{M}$ </tex-math></inline-formula>-Ary Bit-Interleaved Polar Coded Modulation IEEE Access Polar codes bit-interleaved polar coded modulation (BIPCM) belief propagation decoding |
| title | Mapping Design for <inline-formula> <tex-math notation="LaTeX">$2^{M}$ </tex-math></inline-formula>-Ary Bit-Interleaved Polar Coded Modulation |
| title_full | Mapping Design for <inline-formula> <tex-math notation="LaTeX">$2^{M}$ </tex-math></inline-formula>-Ary Bit-Interleaved Polar Coded Modulation |
| title_fullStr | Mapping Design for <inline-formula> <tex-math notation="LaTeX">$2^{M}$ </tex-math></inline-formula>-Ary Bit-Interleaved Polar Coded Modulation |
| title_full_unstemmed | Mapping Design for <inline-formula> <tex-math notation="LaTeX">$2^{M}$ </tex-math></inline-formula>-Ary Bit-Interleaved Polar Coded Modulation |
| title_short | Mapping Design for <inline-formula> <tex-math notation="LaTeX">$2^{M}$ </tex-math></inline-formula>-Ary Bit-Interleaved Polar Coded Modulation |
| title_sort | mapping design for inline formula tex math notation latex 2 m tex math inline formula ary bit interleaved polar coded modulation |
| topic | Polar codes bit-interleaved polar coded modulation (BIPCM) belief propagation decoding |
| url | https://ieeexplore.ieee.org/document/8804192/ |
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