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Fast One-Bit Feedback Beamforming Algorithms with Stage-Threshold Mechanism

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Abstract

In this paper, two new one-bit feedback beamforming algorithms are proposed to achieve carrier phase alignment at the receiver for distributed transmit beamforming. We term two algorithms as continuous-negative one-bit feedback algorithm (CN) and directional-negative one-bit feedback algorithm (DN), respectively. They both are based on a new mechanism, referred to as the stage-threshold mechanism, in which there is different threshold value for different stage to determine whether transmitters step into the next stage and transmitters adopt the corresponding perturbation size in certain stage. During the initial stages, the perturbation size of the proposed algorithms is larger to speed up the convergence of synchronization, while the value of perturbation size decreases gradually as the order of stage increasing to keep the stability of convergence. CN algorithm directly controls the perturbation size, but DN algorithm consists of two steps, first to determine the direction of the perturbation size and then to adjust its amplitude. In comparison with existing one-bit feedback beamforming algorithms, the proposed algorithms provide their superiority while the number of transmitters is small. The given simulation results illustrate the main characteristics of the proposed algorithms.

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Acknowledgements

This work was partially supported by Natural Science Foundations of China (No. 61001182), Natural Science Foundation of Guangdong, China (No. 2016A030313046, No. S2013010012227, No. 10451806001004788), the Key Project of Department of Education of Guangdong Province (No. 2013KJCX0160), 2014 Foundation for Distinguished Young Teacher in Higher Education of Guangdong (No. YQ2014153), Fundamental Research Programs of Shenzhen City (No. JCYJ20150324141711690, No. JCYJ20130329105415965).

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Authors and Affiliations

  1. College of Information Engineering, Shenzhen University, Shenzhen, Guangdong, 518060, China

    Ning Xie, Yongcheng Chen & Hui Wang

  2. Shenzhen Key Laboratory of Media Security, Shenzhen University, Shenzhen, 518060, China

    Ning Xie

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  1. Ning Xie
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  2. Yongcheng Chen
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  3. Hui Wang
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Correspondence to Ning Xie.

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Xie, N., Chen, Y. & Wang, H. Fast One-Bit Feedback Beamforming Algorithms with Stage-Threshold Mechanism. Wireless Pers Commun 96, 4451–4466 (2017). https://doi.org/10.1007/s11277-017-4396-8

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  • DOI: https://doi.org/10.1007/s11277-017-4396-8

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