Joint detection/decoding algorithms for non-binary low-density parity-check codes over inter-symbol interference channels
This study is concerned with the application of non-binary low-density parity-check (NB-LDPC) codes to binary input inter-symbol interference channels. Two low-complexity joint detection/decoding algorithms are proposed. One is referred to as max-log-MAP/X-EMS algorithm, which is implemented by exch...
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| Published in: | IET communications Vol. 7; no. 14; pp. 1522 - 1531 |
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| Format: | Journal Article |
| Language: | English |
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The Institution of Engineering and Technology
01.09.2013
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| ISSN: | 1751-8628, 1751-8636 |
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| Abstract | This study is concerned with the application of non-binary low-density parity-check (NB-LDPC) codes to binary input inter-symbol interference channels. Two low-complexity joint detection/decoding algorithms are proposed. One is referred to as max-log-MAP/X-EMS algorithm, which is implemented by exchanging soft messages between the max-log-MAP detector and the extended min-sum (EMS) decoder. The max-log-MAP/X-EMS algorithm is applicable to general NB-LDPC codes. The other one, referred to as Viterbi/GMLGD algorithm, is designed in particular for majority-logic decodable NB-LDPC codes. The Viterbi/GMLGD algorithm works in an iterative manner by exchanging hard-decisions between the Viterbi detector and the generalised majority-logic decoder (GMLGD). As a by-product, a variant of the original EMS algorithm is proposed, which is referred to as µ-EMS algorithm. In the µ-EMS algorithm, the messages are truncated according to an adaptive threshold, resulting in a more efficient algorithm. Simulations results show that the max-log-MAP/X-EMS algorithm performs as well as the traditional iterative detection/decoding algorithm based on the BCJR algorithm and theQ-ary sum–product algorithm, but with lower complexity. The complexity can be further reduced for majority-logic decodable NB-LDPC codes by executing the Viterbi/GMLGD algorithm with a performance degradation within one dB. These algorithms provide good candidates for trade-offs between performance and complexity. |
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| AbstractList | This study is concerned with the application of non-binary low-density parity-check (NB-LDPC) codes to binary input inter-symbol interference channels. Two low-complexity joint detection/decoding algorithms are proposed. One is referred to as max-log-MAP/X-EMS algorithm, which is implemented by exchanging soft messages between the max-log-MAP detector and the extended min-sum (EMS) decoder. The other one, referred to as Viterbi/GMLGD algorithm, is designed in particular for majority-logic decodable NB-LDPC codes. As a by-product, a variant of the original EMS algorithm is proposed, which is referred to as mu -EMS algorithm. In the mu -EMS algorithm, the messages are truncated according to an adaptive threshold, resulting in a more efficient algorithm. Simulations results show that the max-log-MAP/X-EMS algorithm performs as well as the traditional iterative detection/decoding algorithm based on the BCJR algorithm and the Q-ary sum-product algorithm, but with lower complexity. The complexity can be further reduced for majority-logic decodable NB-LDPC codes by executing the Viterbi/GMLGD algorithm with performance degradation within one dB. This study is concerned with the application of non-binary low-density parity-check (NB-LDPC) codes to binary input inter-symbol interference channels. Two low-complexity joint detection/decoding algorithms are proposed. One is referred to as max-log-MAP/X-EMS algorithm, which is implemented by exchanging soft messages between the max-log-MAP detector and the extended min-sum (EMS) decoder. The other one, referred to as Viterbi/GMLGD algorithm, is designed in particular for majority-logic decodable NB-LDPC codes. As a by-product, a variant of the original EMS algorithm is proposed, which is referred to as μ-EMS algorithm. In the μ-EMS algorithm, the messages are truncated according to an adaptive threshold, resulting in a more efficient algorithm. Simulations results show that the max-log-MAP/X-EMS algorithm performs as well as the traditional iterative detection/decoding algorithm based on the BCJR algorithm and the Q-ary sum-product algorithm, but with lower complexity. The complexity can be further reduced for majority-logic decodable NB-LDPC codes by executing the Viterbi/GMLGD algorithm with performance degradation within one dB. This study is concerned with the application of non‐binary low‐density parity‐check (NB‐LDPC) codes to binary input inter‐symbol interference channels. Two low‐complexity joint detection/decoding algorithms are proposed. One is referred to as max‐log‐MAP/X‐EMS algorithm, which is implemented by exchanging soft messages between the max‐log‐MAP detector and the extended min‐sum (EMS) decoder. The max‐log‐MAP/ X ‐EMS algorithm is applicable to general NB‐LDPC codes. The other one, referred to as Viterbi/GMLGD algorithm, is designed in particular for majority‐logic decodable NB‐LDPC codes. The Viterbi/GMLGD algorithm works in an iterative manner by exchanging hard‐decisions between the Viterbi detector and the generalised majority‐logic decoder (GMLGD). As a by‐product, a variant of the original EMS algorithm is proposed, which is referred to as µ ‐EMS algorithm. In the µ ‐EMS algorithm, the messages are truncated according to an adaptive threshold, resulting in a more efficient algorithm. Simulations results show that the max‐log‐MAP/ X ‐EMS algorithm performs as well as the traditional iterative detection/decoding algorithm based on the BCJR algorithm and theQ‐ary sum–product algorithm, but with lower complexity. The complexity can be further reduced for majority‐logic decodable NB‐LDPC codes by executing the Viterbi/GMLGD algorithm with a performance degradation within one dB. These algorithms provide good candidates for trade‐offs between performance and complexity. |
| Author | Zhao, Shancheng Lu, Zhifei Bai, Baoming Ma, Xiao |
| Author_xml | – sequence: 1 givenname: Shancheng surname: Zhao fullname: Zhao, Shancheng email: maxiao@mail.sysu.edu.cn organization: 1Department of Electronics and Communication Engineering, Sun Yat-sen University, Guangzhou 510275, People's Republic of China – sequence: 2 givenname: Zhifei surname: Lu fullname: Lu, Zhifei organization: 1Department of Electronics and Communication Engineering, Sun Yat-sen University, Guangzhou 510275, People's Republic of China – sequence: 3 givenname: Xiao surname: Ma fullname: Ma, Xiao organization: 1Department of Electronics and Communication Engineering, Sun Yat-sen University, Guangzhou 510275, People's Republic of China – sequence: 4 givenname: Baoming surname: Bai fullname: Bai, Baoming organization: 2The State Key Laboratory of ISN Xidian University, Xian 710071, People's Republic of China |
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| Keywords | max-log-MAP/X-EMS algorithm intersymbol interference parity check codes Viterbi/GMLGD algorithm EMS decoder adaptive threshold joint detection-decoding algorithm Viterbi detector iterative detection algorithm μ-EMS algorithm generalised majority-logic decoder soft message iterative decoding algorithm binary input intersymbol interference channel nonbinary low-density parity-check code BCJR algorithm performance degradation NB-LDPC code iterative decoding intersymbol interference channel extended min-sum decoder Q-ary sum–product algorithm majority-logic decoding Viterbi decoding max-log-MAP detector |
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| Snippet | This study is concerned with the application of non-binary low-density parity-check (NB-LDPC) codes to binary input inter-symbol interference channels. Two... This study is concerned with the application of non‐binary low‐density parity‐check (NB‐LDPC) codes to binary input inter‐symbol interference channels. Two... |
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| SubjectTerms | adaptive threshold Algorithms BCJR algorithm binary input intersymbol interference channel Byproducts Channels Decoding EMS EMS decoder extended min‐sum decoder generalised majority‐logic decoder Interference intersymbol interference intersymbol interference channel iterative decoding iterative decoding algorithm iterative detection algorithm joint detection‐decoding algorithm majority‐logic decoding max‐log‐MAP detector max‐log‐MAP/X‐EMS algorithm Messages NB‐LDPC code Niobium nonbinary low‐density parity‐check code parity check codes performance degradation Q‐ary sum–product algorithm soft message Viterbi decoding Viterbi detector Viterbi/GMLGD algorithm μ‐EMS algorithm |
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| Title | Joint detection/decoding algorithms for non-binary low-density parity-check codes over inter-symbol interference channels |
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