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Signal design for MIMO dual-function systems with permutation learning

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Abstract

This paper addresses the signal matrix synthesis in the multi-input-multi-output (MIMO) dual-function system aimed at obtaining the desired radar beampattern while embedding communication symbols into the permutation matrix of each pulse. To this end, transmit beampattern peak mainlobe to sidelobe level ratio (PMSR) is considered the figure of merit. Besides, the phases of the codebook induced by the designed weight vectors impinged on the directions of the communication receivers and eavesdroppers are restricted to be uniformly distributed and totally the same, respectively. To handle the resulting design problem, an iterative algorithm is devised to account for the coupled quadratic fractional programming objective function with multi-equality constraints, capitalizing on the alternating direction method of multipliers (ADMM) framework. As to the demodulation process for permutation learning, a novel algorithm based on the alternating direction penalty method (ADPM) framework is proposed to handle the mix-boolean optimization problem with the correlation between the communication dictionary and permutation of the received filtered data maximized. Finally, numerical results highlight the effectiveness of the conceived algorithms in comparison with the existing counterparts.

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Acknowledgements

This work of Jing YANG, Xianxiang YU, and Guolong CUI was supported in part by National Natural Science Foundation of China (Grant Nos. U19B2017, 62101097, 61871080), Changjiang Scholar Program, 111 Project (Grant No. B17008), and China Postdoctoral Science Foundation (Grant Nos. 2020M680147, 2021T140096).

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Authors and Affiliations

  1. School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu, 611731, China

    Jing Yang, Xianxiang Yu & Guolong Cui

  2. School of Electrical and Information Engineering, Zhengzhou University, Zhengzhou, 450001, China

    Jing Yang

  3. Beijing Institute of Radio Measurement, Beijing, 100854, China

    Minghui Sha

  4. The 54th Research Institute of China Electronics Technology Group Corporation, Shijiazhuang, 050081, China

    Wen Fan

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  1. Jing Yang
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  2. Xianxiang Yu
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  3. Minghui Sha
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  4. Wen Fan
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  5. Guolong Cui
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Correspondence to Guolong Cui.

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Yang, J., Yu, X., Sha, M. et al. Signal design for MIMO dual-function systems with permutation learning. Sci. China Inf. Sci. 66, 202303 (2023). https://doi.org/10.1007/s11432-022-3651-8

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  • DOI: https://doi.org/10.1007/s11432-022-3651-8

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