任意稀疏结构的复稀疏信号快速重构算法及其逆合成孔径雷达成像
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(空军预警学院,湖北 武汉 430019)

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杨军(1979-),男,云南大理人,工学博士 ,副教授,主要从事雷达系统、现代雷达信号处理方面的研究.

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Fast recovery algorithm for complex sparse signal with arbitrary sparse structure and its inverse synthetic aperture radar imaging
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(Air Force Early Warning Academy,Wuhan 430019,China)

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    摘要:

    为同时提高压缩感知(CS)中任意稀疏结构多量测向 量(MMV)模型的重构性能和重构速度,提出基于改进线性Bergman 迭代(LBI)的任意稀疏 结构MMV模型重构算法。首先给出了任意稀疏结构MMV模型,并对模型进行了分析,利用LBI 实现MMV模型的二维重构;然后,通过 设置预条件子的方 法对感知矩阵的条件数进行优化,以通过提高收敛速度而提高重构速度,并从理论和仿真两 个方面对算法 的收敛性和运算量进行了分析;最后通过仿真结果表明,本文算法能够高质量地重构任意稀 疏结构MMV模型, 同时在重构速度方面具有明显的优势。基于实测数据不同信噪比(SNR)条件下的逆合成孔径雷达(ISAR)成像结果,验证了算法的有效性。

    Abstract:

    In order to improve both reconstruction performance and speed for mult iple measurement vectors (MMV) model with arbitrary sparse structure in compressed sensing (CS),we propo se an improved linearized Bregman iteration for MMV (ILBIMMV) algorithm in this paper.Firstly,an MMV mode l with arbitrary sparse structure is given.At the same time,the characteristics of the model are analy zed theoretically.To effectively reconstruct the MMV model with two dimensions (2D),the linearized Bregman itera tion (LBI) is extended.Secondly,the reconstruction speed is improved by accelerating the algorithm′s convergence,which is achieved by optimizing the condition numbers of s ensing matrices.In addition,the preconditioning is used to optimize the condition number.The convergence and th e computational complexity of the proposed algorithm are theoretically analyzed,and the theoretic analysis is proved by the corresponding simulation results.Finally,the simulation results show that the MMV model with arbitrary sparse structure can be accurately recovered by the proposed algorithm.Meanwhile,the proposed algorithm has evident advantages in reconstruction speed.The effectiveness of the ILBIMMV algorithm i s also verified by the inverse synthetic aperture radar (ISAR) imaging results based on real data with differen t signal to noise ratios.

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陈文峰,李少东,杨军.任意稀疏结构的复稀疏信号快速重构算法及其逆合成孔径雷达成像[J].光电子激光,2015,26(4):797~804

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  • 收稿日期:2014-12-24
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  • 在线发布日期: 2015-05-25
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