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Distributed turbo coded spatial modulation based on code matched interleaver for MIMO system

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Abstract

This paper investigates the turbo coded-spatial modulation (TC-SM) scheme based on code matched interleaver (CMI) for multiple input multiple output (MIMO) antenna system. The information bits for the selection of transmit active antenna and for the M-QAM modulated symbols are protected by a forward error correcting turbo code. In this work, we demonstrate that parallel encoding and decoding construction of the TC-SM scheme enabled us to effectively extend the TC-SM scheme to a turbo coded-cooperative spatial modulation (TCC-SM) scheme with CMI placed at the relay node. Numerical results based on Monte Carlo simulations revealed that the TCC-SM and TC-SM schemes outperform state of the art polar coded-cooperative spatial modulation (PCC-SM) and polar coded spatial modulation (PC-SM) schemes, respectively, under identical conditions. This performance improvement in bit-error rate (BER) of the proposed TCC-SM and TC-SM schemes occurred due to the joint soft input soft output log maximum a posteriori probability (SISO-Log-MAP) iterative decoding at the receiver. Furthermore, the mathematical error performance of the TC-SM scheme has also been presented. The numerical results demonstrate that the proposed TCC-SM scheme offers robustness not only in BER performance over the practical (non-ideal) source to relay channel but also presents less encoding and decoding complexity as compared to the PCC-SM scheme.

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Acknowledgements

This work has been partially funded by National Natural Science Foundation of China under the Contract No. 61771241.

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Authors and Affiliations

  1. College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, 29 Yudao Street, Nanjing, 210016, China

    Rahim Umar, Fengfan Yang & Shoaib Mughal

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

    HongJun Xu

  3. Institute for Communication Systems (ICS), Home of the 5G/6G Innovation Centre, University of Surrey, Guildford, UK

    Rahim Umar

  4. Department of Computer Engineering, Bahria University, Karachi, Pakistan

    Shoaib Mughal

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  1. Rahim Umar
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Correspondence to Rahim Umar.

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Umar, R., Yang, F., Xu, H. et al. Distributed turbo coded spatial modulation based on code matched interleaver for MIMO system. Wireless Netw 29, 1995–2013 (2023). https://doi.org/10.1007/s11276-023-03256-1

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