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Secret key generation over a Nakagami-m fading channel with correlated eavesdropping channel

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Abstract

The analysis of secret key capacity is an important investigation on the design of secret key agreement protocol. In this paper, we characterize the secret key capacity based on received signal envelopes obeying Nakagami-m distribution between two legitimate users, in the presence of a passive eavesdropper, when the eavesdropping channel is correlated with the legitimate channel. The expression of secret key capacity is derived based on mutual information and applies to both integer and non-integer m. Simulation results indicate that the secret key capacity is proportional to m-fading parameter and average signal-to-noise ratio (SNR) and inversely proportional to the number of paths. In addition, some behaviors of secret key capacity over a high mobility fading channel, and microcell and macrocell environments are provided. These results cover the performance of secret key capacity when the received signal envelope follows Rayleigh, Rician, and Gaussian distributions.

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Acknowledgements

This work was supported in part by National Key R&D Program of China (Grant No. 2019YFE0114000), in part by National Natural Science Foundation of China (Grant Nos. 61932005, 62071066), in part by Shenzhen Science and Technology Innovation Commission Free Exploring Basic Research Project (Grant Nos. 2021Szvup008, JCYJ20170307172830043), in part by National High-tech R&D Program of China (Grant No. 2014AA01A701), in part by 111 Project of China (Grant No. B16006), and in part by Fundamental Research Funds for the Central Universities (Grant No. 2020RC39).

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Authors and Affiliations

  1. National Engineering Laboratory for Mobile Network Technologies, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Shixun Gong, Xiaofeng Tao, Na Li, Haowei Wang & Jin Xu

  2. Beijing University of Posts and Telecommunications Research Institute, Shenzhen, 518000, China

    Shixun Gong & Na Li

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  1. Shixun Gong
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  2. Xiaofeng Tao
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  3. Na Li
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  4. Haowei Wang
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  5. Jin Xu
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Correspondence to Xiaofeng Tao.

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Gong, S., Tao, X., Li, N. et al. Secret key generation over a Nakagami-m fading channel with correlated eavesdropping channel. Sci. China Inf. Sci. 65, 192304 (2022). https://doi.org/10.1007/s11432-021-3353-5

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  • DOI: https://doi.org/10.1007/s11432-021-3353-5

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