Rate‐compatible systematic polar codes.
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| Title: | Rate‐compatible systematic polar codes. |
|---|---|
| Authors: | Zhu, Hongfei1 zhuhongfei@pku.edu.cn, Guan, Pengxin1, Cao, Zhiwei1, Zhao, Yuping1 |
| Source: | IET Communications (Wiley-Blackwell). Sep2021, Vol. 15 Issue 15, p1930-1940. 11p. |
| Subjects: | Maximum likelihood decoding, Maximum likelihood statistics, Bit error rate, Data transmission systems, Algorithms |
| Abstract: | Puncturing and shortening are two common ways to achieve rate‐compatible non‐systematic polar codes (NSPCs). Systematic polar codes (SPCs) have been shown to outperform NSPCs with the same encoding and decoding complexity. However, rate‐compatible SPCs have never been comprehensively studied in previous work. In this paper, two rate‐compatible algorithms for SPCs are first proposed: uniform puncturing (UP) algorithm and uniform shortening (US) algorithm, which are referred to as SPC‐UP and SPC‐US, respectively. In order to effectively estimate the maximum likelihood decoding performance of punctured and shortened polar codes, subsequently, a distance spectrum calculation algorithm based on successive cancellation list (SCL) decoder for rate‐compatible polar codes is proposed. Simulation results show that rate‐compatible SPCs yield better bit error rate performance than rate‐compatible NSPCs while they have the same frame error rate performance under different code rates and decoding algorithms. Eventually, union bounds that are obtained by the distance spectrum to provide the theoretical explanation for the superiority of rate‐compatible SPCs are utilised. [ABSTRACT FROM AUTHOR] |
| Copyright of IET Communications (Wiley-Blackwell) is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 152211026 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Rate‐compatible systematic polar codes. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Zhu%2C+Hongfei%22">Zhu, Hongfei</searchLink><relatesTo>1</relatesTo><i> zhuhongfei@pku.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Guan%2C+Pengxin%22">Guan, Pengxin</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Cao%2C+Zhiwei%22">Cao, Zhiwei</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Zhao%2C+Yuping%22">Zhao, Yuping</searchLink><relatesTo>1</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22IET+Communications+%28Wiley-Blackwell%29%22">IET Communications (Wiley-Blackwell)</searchLink>. Sep2021, Vol. 15 Issue 15, p1930-1940. 11p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Maximum+likelihood+decoding%22">Maximum likelihood decoding</searchLink><br /><searchLink fieldCode="DE" term="%22Maximum+likelihood+statistics%22">Maximum likelihood statistics</searchLink><br /><searchLink fieldCode="DE" term="%22Bit+error+rate%22">Bit error rate</searchLink><br /><searchLink fieldCode="DE" term="%22Data+transmission+systems%22">Data transmission systems</searchLink><br /><searchLink fieldCode="DE" term="%22Algorithms%22">Algorithms</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Puncturing and shortening are two common ways to achieve rate‐compatible non‐systematic polar codes (NSPCs). Systematic polar codes (SPCs) have been shown to outperform NSPCs with the same encoding and decoding complexity. However, rate‐compatible SPCs have never been comprehensively studied in previous work. In this paper, two rate‐compatible algorithms for SPCs are first proposed: uniform puncturing (UP) algorithm and uniform shortening (US) algorithm, which are referred to as SPC‐UP and SPC‐US, respectively. In order to effectively estimate the maximum likelihood decoding performance of punctured and shortened polar codes, subsequently, a distance spectrum calculation algorithm based on successive cancellation list (SCL) decoder for rate‐compatible polar codes is proposed. Simulation results show that rate‐compatible SPCs yield better bit error rate performance than rate‐compatible NSPCs while they have the same frame error rate performance under different code rates and decoding algorithms. Eventually, union bounds that are obtained by the distance spectrum to provide the theoretical explanation for the superiority of rate‐compatible SPCs are utilised. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of IET Communications (Wiley-Blackwell) is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1049/cmu2.12204 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 11 StartPage: 1930 Subjects: – SubjectFull: Maximum likelihood decoding Type: general – SubjectFull: Maximum likelihood statistics Type: general – SubjectFull: Bit error rate Type: general – SubjectFull: Data transmission systems Type: general – SubjectFull: Algorithms Type: general Titles: – TitleFull: Rate‐compatible systematic polar codes. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Zhu, Hongfei – PersonEntity: Name: NameFull: Guan, Pengxin – PersonEntity: Name: NameFull: Cao, Zhiwei – PersonEntity: Name: NameFull: Zhao, Yuping IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 09 Text: Sep2021 Type: published Y: 2021 Identifiers: – Type: issn-print Value: 17518628 Numbering: – Type: volume Value: 15 – Type: issue Value: 15 Titles: – TitleFull: IET Communications (Wiley-Blackwell) Type: main |
| ResultId | 1 |