Conditional error rate and combining schemes for hybrid automatic repeat request with M-pulse amplitude modulation

Authors

  • Hang Long,

    Corresponding author
    1. Wireless Signal Processing and Networks Lab, Key Laboratory of Universal Wireless Communication, Ministry of Education, Beijing University of Posts and Telecommunications, Beijing, China
    • Correspondence to: Hang Long, PO Box #93, Beijing University of Posts and Telecommunications, Beijing, China, 100876.

      E-mail: hlong@buptnet.edu.cn

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  • Wei Xiang,

    1. Faculty of Engineering and Surveying, University of Southern Queensland, Toowoomba, QLD 4350, Australia
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  • Jing Wang,

    1. Wireless Signal Processing and Networks Lab, Key Laboratory of Universal Wireless Communication, Ministry of Education, Beijing University of Posts and Telecommunications, Beijing, China
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  • Yueying Zhang,

    1. Wireless Signal Processing and Networks Lab, Key Laboratory of Universal Wireless Communication, Ministry of Education, Beijing University of Posts and Telecommunications, Beijing, China
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  • Yuanan Liu,

    1. School of Electronics Engineering, Beijing University of Posts and Telecommunications, Beijing, China
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  • Wenbo Wang

    1. Wireless Signal Processing and Networks Lab, Key Laboratory of Universal Wireless Communication, Ministry of Education, Beijing University of Posts and Telecommunications, Beijing, China
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SUMMARY

In hybrid automatic repeat request (HARQ), maximum ratio combining (MRC) is usually employed at the receiver if the retransmitted signal is the same as that of the first transmission. However, it is proved that MRC is not the optimum combining scheme with binary phase shift keying modulation in terms of the conditional error rate. In this paper, the conditional error rate of HARQ with M-pulse amplitude modulation (M-PAM) and arbitrary combining schemes at the receiver is analyzed. Then, the optimum combining scheme with M-PAM is proposed with the aim of minimizing the conditional error rate.Copyright © 2012 John Wiley & Sons, Ltd.

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