Partial Orders in Rate-Matched Polar Codes
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arXiv
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| Autori principali: | , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910686412537856 |
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| author | Liu, Zhichao Yao, Liuquan Li, Yuan Zhang, Huazi Wang, Jun Yan, Guiying Ma, Zhiming |
| author_facet | Liu, Zhichao Yao, Liuquan Li, Yuan Zhang, Huazi Wang, Jun Yan, Guiying Ma, Zhiming |
| contents | In this paper, we establish the partial order (POs) for both the binary erasure channel (BEC) and the binary memoryless symmetric channel (BMSC) under any block rate-matched polar codes. Firstly, we define the POs in the sense of rate-matched polar codes as a sequential block version. Furthermore, we demonstrate the persistence of POs after block rate matching in the BEC. Finally, leveraging the existing POs in the BEC, we obtain more POs in the BMSC under block rate matching. Simulations show that the PW sequence constructed from β-expansion can be improved by the tool of POs. Actually, any fixed reliable sequence in the mother polar codes can be improved by POs for rate matching. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_21661 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Partial Orders in Rate-Matched Polar Codes Liu, Zhichao Yao, Liuquan Li, Yuan Zhang, Huazi Wang, Jun Yan, Guiying Ma, Zhiming Information Theory In this paper, we establish the partial order (POs) for both the binary erasure channel (BEC) and the binary memoryless symmetric channel (BMSC) under any block rate-matched polar codes. Firstly, we define the POs in the sense of rate-matched polar codes as a sequential block version. Furthermore, we demonstrate the persistence of POs after block rate matching in the BEC. Finally, leveraging the existing POs in the BEC, we obtain more POs in the BMSC under block rate matching. Simulations show that the PW sequence constructed from β-expansion can be improved by the tool of POs. Actually, any fixed reliable sequence in the mother polar codes can be improved by POs for rate matching. |
| title | Partial Orders in Rate-Matched Polar Codes |
| topic | Information Theory |
| url | https://arxiv.org/abs/2410.21661 |