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Design of high-rate LDPC codes based on matroid theory |
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| Author: | Wu, Guangfu1; Lv, Yijie1; He, Jiguang2 |
| Organizations: |
1Dept. of Information Engineering, Jiangxi University of Science and Technology, Jiangxi, China 2Centre for Wireless Communications, University of Oulu, FI-90014, Finland |
| Format: | article |
| Version: | accepted version |
| Access: | open |
| Online Access: | PDF Full Text (PDF, 0.4 MB) |
| Persistent link: | http://urn.fi/urn:nbn:fi-fe202001303926 |
| Language: | English |
| Published: |
Institute of Electrical and Electronics Engineers,
2019
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| Publish Date: | 2020-01-30 |
| Description: |
AbstractIn this letter, sufficient conditions for the determination of the girth are studied from the perspective of matroid theory. The girth of a Tanner graph is at least $2(t_{1}+2)$ if $t_{1}$ specific conditions are simultaneously met. A novel method of constructing high-rate low-density parity-check (LDPC) codes is proposed based on the matroid theory. The parity-check matrices of the constructed LDPC codes are in the form of H = [I $\vert$ H 2 ] with H 2 constructed under the conditions of a given girth and a fixed column weight (e.g., $W_{c}=4$ or $W_{c}=6$ ). Simulation results verify that the proposed LDPC codes outperform those in the literature over additive white Gaussian noise channels in terms of bit error rate performance. see all
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| Series: |
IEEE communications letters |
| ISSN: | 1089-7798 |
| ISSN-E: | 2373-7891 |
| ISSN-L: | 1089-7798 |
| Volume: | 23 |
| Issue: | 12 |
| Pages: | 2146 - 2149 |
| DOI: | 10.1109/LCOMM.2019.2940977 |
| OADOI: | https://oadoi.org/10.1109/LCOMM.2019.2940977 |
| Type of Publication: |
A1 Journal article – refereed |
| Field of Science: |
213 Electronic, automation and communications engineering, electronics |
| Subjects: | |
| Funding: |
This work was supported by the National Natural Science Foundation of China (Grant No. 11461031), Science and Technology key Project of the Education Department of Jiangxi Province (Grant GJJ170492), Natural Science Foundation of Jiangxi Provincial (Grant 20181BBE58018), Science and Technology Project of the Education Department of Jiangxi Province (GJJ180442). |
| Copyright information: |
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