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Reed Muller coded-cooperative diversity for multiple relays with signal space diversity and MRC reception at the destination

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Abstract

Recently, Reed–Muller (RM) codes have been investigated for half-duplex coded-cooperative relay communication systems. RM coded-cooperative (RMCC) diversity promised considerably low encoding and decoding complexity as compared to its predecessor channel codes. In this paper, we investigate the bit error rate (BER) performance of RMCC diversity for multiple relays operating in half-duplex mode with binary phase shift keying (BPSK) and quadrature amplitude modulation such as 4-QAM. In order to improve the BER performance of 4-QAM modulation, we use well known signal space diversity (SSD) technique in the proposed system. At the destination, maximal ratio combining is used for signal detection and joint majority logic decoding is used to recover information transmitted at the destination. Monte Carlo simulations show that the RMCC diversity gains increase manifolds with inclusion of multiple relays and for higher modulation i.e., 4-QAM, SSD provides additional diversity gains over the conventional 4-QAM system. Theoretical expressions for average BER are also derived and are validated with the help of Monte Carlo simulations.

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Authors and Affiliations

  1. College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China

    Saqib Ejaz & Feng-Fan Yang

  2. School of Engineering, University of KwaZulu-Natal, King George Avenue V, Durban, 4041, South Africa

    Hongjun Xu

Authors
  1. Saqib Ejaz
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  2. Feng-Fan Yang
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  3. Hongjun Xu
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Correspondence to Saqib Ejaz.

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Ejaz, S., Yang, FF. & Xu, H. Reed Muller coded-cooperative diversity for multiple relays with signal space diversity and MRC reception at the destination. Telecommun Syst 63, 643–654 (2016). https://doi.org/10.1007/s11235-016-0147-5

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  • DOI: https://doi.org/10.1007/s11235-016-0147-5

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