Design of majority-logic decoders for the shortened Reed-Muller code in TETRA

Peng Zhang; Siliang Wu; Dongping Yao; Zhenhui Tan

doi:10.1109/WCNC.2007.135

Design of majority-logic decoders for the shortened Reed-Muller code in TETRA

Peng Zhang^*
, Siliang Wu
, Dongping Yao
, Zhenhui Tan

^*Corresponding author for this work

School of Information and Electronics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Citation (Scopus)

Abstract

The attractiveness of majority-logic decoding is its simple implementation. However, it provides a modest amount of coding gain. A modified Massey's majority-logic decoding algorithm is proposed to improve error-correcting performance. With hard-decision and soft-decision, the modified algorithm is applied to decode the (30,14) shortened Reed-Muller (RM) code in TETRA as well as syndrome algorithm, Massey's majority-logic algorithm, and Rudolph's majority-logic algorithm. Simulation results show that, the proposed modified algorithm can provide more coding gain than the original Massey's algorithm, the modifled scheme has the best performance of error correction among four hard-decision schemes, and the Rudolph's scheme outperforms the other three schemes in the case of soft-decision.

Original language	English
Title of host publication	2007 IEEE Wireless Communications and Networking Conference, WCNC 2007
Pages	705-708
Number of pages	4
DOIs	https://doi.org/10.1109/WCNC.2007.135
Publication status	Published - 2007
Event	2007 IEEE Wireless Communications and Networking Conference, WCNC 2007 - Kowloon, China Duration: 11 Mar 2007 → 15 Mar 2007

Publication series

Name	IEEE Wireless Communications and Networking Conference, WCNC
ISSN (Print)	1525-3511

Conference

Conference	2007 IEEE Wireless Communications and Networking Conference, WCNC 2007
Country/Territory	China
City	Kowloon
Period	11/03/07 → 15/03/07

Keywords

Hard-decision and soft-decision
Majority-logic decoding
Reed-Muller code
TETRA

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10.1109/WCNC.2007.135

Cite this

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title = "Design of majority-logic decoders for the shortened Reed-Muller code in TETRA",

abstract = "The attractiveness of majority-logic decoding is its simple implementation. However, it provides a modest amount of coding gain. A modified Massey's majority-logic decoding algorithm is proposed to improve error-correcting performance. With hard-decision and soft-decision, the modified algorithm is applied to decode the (30,14) shortened Reed-Muller (RM) code in TETRA as well as syndrome algorithm, Massey's majority-logic algorithm, and Rudolph's majority-logic algorithm. Simulation results show that, the proposed modified algorithm can provide more coding gain than the original Massey's algorithm, the modifled scheme has the best performance of error correction among four hard-decision schemes, and the Rudolph's scheme outperforms the other three schemes in the case of soft-decision.",

keywords = "Hard-decision and soft-decision, Majority-logic decoding, Reed-Muller code, TETRA",

author = "Peng Zhang and Siliang Wu and Dongping Yao and Zhenhui Tan",

year = "2007",

doi = "10.1109/WCNC.2007.135",

language = "English",

isbn = "1424406595",

series = "IEEE Wireless Communications and Networking Conference, WCNC",

pages = "705--708",

booktitle = "2007 IEEE Wireless Communications and Networking Conference, WCNC 2007",

note = "2007 IEEE Wireless Communications and Networking Conference, WCNC 2007 ; Conference date: 11-03-2007 Through 15-03-2007",

}

Zhang, P, Wu, S, Yao, D & Tan, Z 2007, Design of majority-logic decoders for the shortened Reed-Muller code in TETRA. in 2007 IEEE Wireless Communications and Networking Conference, WCNC 2007., 4204311, IEEE Wireless Communications and Networking Conference, WCNC, pp. 705-708, 2007 IEEE Wireless Communications and Networking Conference, WCNC 2007, Kowloon, China, 11/03/07. https://doi.org/10.1109/WCNC.2007.135

Design of majority-logic decoders for the shortened Reed-Muller code in TETRA. / Zhang, Peng; Wu, Siliang; Yao, Dongping et al.
2007 IEEE Wireless Communications and Networking Conference, WCNC 2007. 2007. p. 705-708 4204311 (IEEE Wireless Communications and Networking Conference, WCNC).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Zhang, Peng

AU - Wu, Siliang

AU - Yao, Dongping

AU - Tan, Zhenhui

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N2 - The attractiveness of majority-logic decoding is its simple implementation. However, it provides a modest amount of coding gain. A modified Massey's majority-logic decoding algorithm is proposed to improve error-correcting performance. With hard-decision and soft-decision, the modified algorithm is applied to decode the (30,14) shortened Reed-Muller (RM) code in TETRA as well as syndrome algorithm, Massey's majority-logic algorithm, and Rudolph's majority-logic algorithm. Simulation results show that, the proposed modified algorithm can provide more coding gain than the original Massey's algorithm, the modifled scheme has the best performance of error correction among four hard-decision schemes, and the Rudolph's scheme outperforms the other three schemes in the case of soft-decision.

AB - The attractiveness of majority-logic decoding is its simple implementation. However, it provides a modest amount of coding gain. A modified Massey's majority-logic decoding algorithm is proposed to improve error-correcting performance. With hard-decision and soft-decision, the modified algorithm is applied to decode the (30,14) shortened Reed-Muller (RM) code in TETRA as well as syndrome algorithm, Massey's majority-logic algorithm, and Rudolph's majority-logic algorithm. Simulation results show that, the proposed modified algorithm can provide more coding gain than the original Massey's algorithm, the modifled scheme has the best performance of error correction among four hard-decision schemes, and the Rudolph's scheme outperforms the other three schemes in the case of soft-decision.

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KW - Reed-Muller code

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Design of majority-logic decoders for the shortened Reed-Muller code in TETRA

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Keywords

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