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Joint Beamforming and Power Allocation in a MIMO Radar Network with Per-antenna Power Control

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Proceedings of 3rd 2023 International Conference on Autonomous Unmanned Systems (3rd ICAUS 2023) (ICAUS 2023)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 1174))

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Abstract

This paper studies the joint beamforming and power allocation problem for a multiple-input multiple-output (MIMO) radar system in the presence of multiple targets. To facilitate a distributed implementation, a non-cooperative game model is established to capture the interactions among multiple radars, where each radar minimizes the maximum transmit power of its antennas while satisfying the signal-to-interference-plus-noise ratio requirement for the targets. The convex transmit beamforming problem is addressed by adopting the Lagrange dual theory and the sub-gradient projection method. Subsequently, the game relationship among radars is formulated as a power allocation game, and the existence and uniqueness of the Nash equilibrium are proven. Simulation results are provided to demonstrate the convergence and effectiveness of the proposed algorithm.

C. Shi—This work is supported in part by the National Natural Science Foundation of China under Grant 62271247, in part by the Defense Industrial Technology Development Program under Grant JCKY2021210B004, in part by the Fund of Prospective Layout of Scientific Research for NUAA (Nanjing University of Aeronautics and Astronautics), and in part by Key Laboratory of Radar Imaging and Microwave Photonics (Nanjing Univ. Aeronaut. Astronaut.), Ministry of Education, Nanjing, China.

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Correspondence to Chenguang Shi .

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Wu, J., Shi, C., Zhou, J., Wang, Z. (2024). Joint Beamforming and Power Allocation in a MIMO Radar Network with Per-antenna Power Control. In: Qu, Y., Gu, M., Niu, Y., Fu, W. (eds) Proceedings of 3rd 2023 International Conference on Autonomous Unmanned Systems (3rd ICAUS 2023). ICAUS 2023. Lecture Notes in Electrical Engineering, vol 1174. Springer, Singapore. https://doi.org/10.1007/978-981-97-1091-1_5

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