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Coarray interpolation for joint DOD and DOA estimation in bistatic coprime MIMO radar via decoupled atomic norm minimization

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Abstract

As a sparse array, coprime array with application to multiple-input multiple-output (MIMO) radar can provide more resolvable targets than uniform linear array. In this study, we address joint direction-of-departure (DOD) and direction-of-arrival (DOA) estimation in a bistatic MIMO radar with coprime transmitting and coprime receiving arrays. First, the signal model is established, in which the residual error between the sample and statistical covariance matrices is considered. Then, a permutation matrix is constructed to form the virtual difference coarrays with respect to both transmitting and receiving coprime arrays, and two average operators are designed to average the repeated elements in the transmitting and receiving coarrays, respectively. Since the coarrays are inconsecutive and have holes which prevent us from fully utilizing the entire virtual aperture, an interpolation algorithm via decoupled atomic norm minimization (DANM) is presented to fill the holes and achieve the enhanced degrees of freedom (DOFs). The DANM is recast into a semi-definite programming (SDP) problem with the considered residual error, and a specific alternating direction method of multipliers (ADMM) is developed to solve such a SDP problem with high computational efficiency. Numerical simulations demonstrate that it can achieve more DOFs than several existing methods in bistatic coprime MIMO radar.

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Acknowledgements

This document is the results of the research funded by the National Natural Science Foundation of China under Grants 61371158 and 61771217, the Natural Science Foundation of Jilin Province (CN) under Grant 20180101329JC, and China Scholarship Council.

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  1. College of Communication Engineering, Jilin University, Changchun, 130012, China

    Wengen Tang, Hong Jiang & Qi Zhang

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  1. Wengen Tang
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Correspondence to Hong Jiang.

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Tang, W., Jiang, H. & Zhang, Q. Coarray interpolation for joint DOD and DOA estimation in bistatic coprime MIMO radar via decoupled atomic norm minimization. Multidim Syst Sign Process 33, 1237–1256 (2022). https://doi.org/10.1007/s11045-022-00840-0

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