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Joint Angle and Range Estimation in the Fda-Mimo Radar: The Reduced-Dimension Root Music Algorithm

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Abstract

The frequency diverse array (FDA) multiple-input multiple-output (MIMO) radar is capable of producing the angle-range-dependent beampattern by utilizing a small frequency increment across the transmit elements, which enables to jointly calculate the angle and range estimates of the targets. However, the methods with tremendous computational burden, e.g., two-dimensional (2D) spectrum peak search (SPS), are involved due to the coupling of parameters, i.e., angle and range. In this study, We propose a reduced-dimension root MUSIC (RD-root-MUSIC) algorithm to detect the angle and range of targets in the FDA-MIMO radar. Specifically, we firstly decompose the angle and range by reconstructing the 2D-MUSIC spatial spectrum, where, resultantly, the range component is dismissed and the angle-dependent spatial spectrum function can be achieved. Moreover, to circumvent the SPS, the polynomial root finding is employed to obtain the angle estimates. Furthermore, we derive the closed-form solution to the range estimates which can be directly calculated based on the angle estimates. The proposed algorithm remarkably reduces the computational complexity without estimation performance degradation. In addition, the Cramér-Rao bounds (CRBs) are presented and the simulation results are provided to demonstrated the effectiveness of the proposed algorithm.

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Acknowledgments

This work is supported by China NSF Grants (61601167, 61971217, 61971218, 61631020), the fund of Sonar Technology Key Laboratory (Research on the theory and algorithm of signal processing for two-dimensional underwater acoustics coprime array, Range estimation and location technology of passive target via multiple array combination), the Fundamental Research Funds for the Central Universities (NT2019013) and the Research and practice innovation program for Postgraduates in Jiangsu Province (KYCX20_0203).

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Authors and Affiliations

  1. College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China

    Cheng Wang, Wang Zheng, Pan Gong & Zheng Li

  2. Key Laboratory of Dynamic Cognitive System of Electromagnetic Spectrum Space, Ministry of Industry and Information Technology, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China

    Cheng Wang, Wang Zheng, Pan Gong & Zheng Li

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  1. Cheng Wang
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Correspondence to Cheng Wang.

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Wang, C., Zheng, W., Gong, P. et al. Joint Angle and Range Estimation in the Fda-Mimo Radar: The Reduced-Dimension Root Music Algorithm. Wireless Pers Commun 115, 2515–2533 (2020). https://doi.org/10.1007/s11277-020-07694-4

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