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      A RPCA-Based ISAR Imaging Method for Micromotion Targets

      research-article
      1 , 2 , * , 1
      Sensors (Basel, Switzerland)
      MDPI
      ADMM, ISAR, micro-Doppler, RPCA

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          Abstract

          Micro-Doppler generated by the micromotion of a target contaminates the inverse synthetic aperture radar (ISAR) image heavily. To acquire a clear ISAR image, removing the Micro-Doppler is an indispensable task. By exploiting the sparsity of the ISAR image and the low-rank of Micro-Doppler signal in the Range-Doppler (RD) domain, a novel Micro-Doppler removal method based on the robust principal component analysis (RPCA) framework is proposed. We formulate the model of sparse ISAR imaging for micromotion target in the framework of RPCA. Then, the imaging problem is decomposed into iterations between the sub-problem of sparse imaging and Micro-Doppler extraction. The alternative direction method of multipliers (ADMM) approach is utilized to seek for the solution of each sub-problem. Furthermore, to improve the computational efficiency and numerical robustness in the Micro-Doppler extraction, an SVD-free method is presented to further lessen the calculative burden. Experimental results with simulated data validate the effectiveness of the proposed method.

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          Most cited references31

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          Variational Mode Decomposition

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            Empirical Mode Decomposition as a Filter Bank

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              Robust Recovery of Subspace Structures by Low-Rank Representation

              In this paper, we address the subspace clustering problem. Given a set of data samples (vectors) approximately drawn from a union of multiple subspaces, our goal is to cluster the samples into their respective subspaces and remove possible outliers as well. To this end, we propose a novel objective function named Low-Rank Representation (LRR), which seeks the lowest rank representation among all the candidates that can represent the data samples as linear combinations of the bases in a given dictionary. It is shown that the convex program associated with LRR solves the subspace clustering problem in the following sense: When the data is clean, we prove that LRR exactly recovers the true subspace structures; when the data are contaminated by outliers, we prove that under certain conditions LRR can exactly recover the row space of the original data and detect the outlier as well; for data corrupted by arbitrary sparse errors, LRR can also approximately recover the row space with theoretical guarantees. Since the subspace membership is provably determined by the row space, these further imply that LRR can perform robust subspace clustering and error correction in an efficient and effective way.
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                Author and article information

                Journal
                Sensors (Basel)
                Sensors (Basel)
                sensors
                Sensors (Basel, Switzerland)
                MDPI
                1424-8220
                25 May 2020
                May 2020
                : 20
                : 10
                : 2989
                Affiliations
                [1 ]School of Information Science and Engineering, Southeast University, Nanjing 210096, China; luliangxuexi@ 123456126.com (L.L.); wuln@ 123456seu.edu.cn (L.W.)
                [2 ]State Key Laboratory of Millimeter Waves, Southeast University, Nanjing 210096, China
                Author notes
                Author information
                https://orcid.org/0000-0002-5847-7077
                Article
                sensors-20-02989
                10.3390/s20102989
                7288018
                32466204
                6d33099c-f664-4183-802b-4fefc89594d5
                © 2020 by the authors.

                Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license ( http://creativecommons.org/licenses/by/4.0/).

                History
                : 07 April 2020
                : 22 May 2020
                Categories
                Article

                Biomedical engineering
                admm,isar,micro-doppler,rpca
                Biomedical engineering
                admm, isar, micro-doppler, rpca

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