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Multiple-rate codes from block Markov superposition transmission of first-order Reed–Muller and extended Hamming codes

Journal Article


Abstract


  • Block Markov superposition transmission (BMST) of first-order Reed-Muller and extended Hamming (RMEH) codes is investigated. Multiple code rates can be easily realised by adjusting the mixture ratio of Reed-Muller and extended Hamming codes. Compared with the original BMST of repetition and single-parity-check (RSPC) codes, the proposed BMST-RMEH codes can perform close to Shannon limits over a wide range of code rates with about only half the encoding memories of BMST-RSPC codes. As a result of the reduction of encoding memories, the decoding complexity and delay of BMST-RMEH codes are approximately half (or even lower than) those of BMST-RSPC codes.

Publication Date


  • 2016

Citation


  • S. Tong, B. Liu, Q. Guo, J. Tong & J. Xi, "Multiple-rate codes from block Markov superposition transmission of first-order Reed–Muller and extended Hamming codes," Electronics Letters, vol. 52, (18) pp. 1531-1533, 2016.

Scopus Eid


  • 2-s2.0-84983592054

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers1/260

Has Global Citation Frequency


Number Of Pages


  • 2

Start Page


  • 1531

End Page


  • 1533

Volume


  • 52

Issue


  • 18

Place Of Publication


  • United Kingdom

Abstract


  • Block Markov superposition transmission (BMST) of first-order Reed-Muller and extended Hamming (RMEH) codes is investigated. Multiple code rates can be easily realised by adjusting the mixture ratio of Reed-Muller and extended Hamming codes. Compared with the original BMST of repetition and single-parity-check (RSPC) codes, the proposed BMST-RMEH codes can perform close to Shannon limits over a wide range of code rates with about only half the encoding memories of BMST-RSPC codes. As a result of the reduction of encoding memories, the decoding complexity and delay of BMST-RMEH codes are approximately half (or even lower than) those of BMST-RSPC codes.

Publication Date


  • 2016

Citation


  • S. Tong, B. Liu, Q. Guo, J. Tong & J. Xi, "Multiple-rate codes from block Markov superposition transmission of first-order Reed–Muller and extended Hamming codes," Electronics Letters, vol. 52, (18) pp. 1531-1533, 2016.

Scopus Eid


  • 2-s2.0-84983592054

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers1/260

Has Global Citation Frequency


Number Of Pages


  • 2

Start Page


  • 1531

End Page


  • 1533

Volume


  • 52

Issue


  • 18

Place Of Publication


  • United Kingdom