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一种新的基于遗传算法的压缩感知重构方法
及其在SAR 高分辨距离像重构中的应用
引用本文:朱 丰,张 群,柏又青,冯有前,张维强,毕 博.一种新的基于遗传算法的压缩感知重构方法
及其在SAR 高分辨距离像重构中的应用[J].控制与决策,2012,27(11):1669-1675.
作者姓名:朱 丰  张 群  柏又青  冯有前  张维强  毕 博
作者单位:空军工程大学电讯工程学院;中国人民解放军93508部队;空军工程大学理学院;中国人民解放军95947部队;空军军训器材研究所
基金项目:国家自然科学基金项目(61172169);陕西省自然科学基础研究计划项目(2011JM8031);广西无线宽带通信与信号处理重点实验室2011年度开放基金项目(21102)
摘    要:首先提出一种基于遗传算法的压缩感知重构新方法,并设计了具体的算法流程.该方法运用遗传迭代思想,在稀疏度未知的情况下可准确重构出原始信号,避免了子空间跟踪问题.在此基础上,进一步将所提新方法应用于合成孔径雷达(SAR)高分辨距离像的重构,同时建立了相关的SAR系统模型,构造了有效的稀疏变换矩阵和观测矩阵.仿真结果表明了所提出方法的有效性,同时验证了该方法用于SAR高分辨距离像重构是可行的和鲁棒的.

关 键 词:压缩感知  重构方法  遗传算法  稀疏度  SAR高分辨距离像
收稿时间:2011/6/21 0:00:00
修稿时间:2012/2/27 0:00:00

A Novel Reconstruction Method Based on Genetic Algorithm in CS Theory and Its Application in SAR HRRP Reconstruction
ZHU Feng,ZHANG Qun,BAI You-qing,FENG You-qian,ZHANG Wei-qiang,BI Bo.A Novel Reconstruction Method Based on Genetic Algorithm in CS Theory and Its Application in SAR HRRP Reconstruction[J].Control and Decision,2012,27(11):1669-1675.
Authors:ZHU Feng  ZHANG Qun  BAI You-qing  FENG You-qian  ZHANG Wei-qiang  BI Bo
Affiliation:1a.Institute of Telecommunication Engineering,1b.Institute of Science,Air Force Engineering University,Xi’an 710077,China;2.The 93508 Unit of PLA,Beijing 100075,China;3.The 95947 Unit of PLA,Chengdu 610081,China;4.Air Force Training Equipment Institute,Beijing 100195,China.)
Abstract:

First of all, a novel reconstruction method in compressed sensing(CS) theory is proposed based on genetic
algorithm(GA), and its concrete flow is designed. In the method, the genetically iterative idea is adopted to reconstruct the
original signal exactly on the condition that the sparsity degree is unknown, which avoids the subspace pursuit. Furthermore,
the proposed reconstruction method is employed in high resolution range profile(HRRP) reconstruction in synthetic aperture
radar(SAR) imaging, and related SAR application model is established. In this model, the effective sparsity transform matrix
and measurement matrix are designed successfully. The simulation results not only show the effectiveness of the proposed
reconstruction method, but also verify that the reconstruction of SAR HRRP by using the proposed method is feasible and
robust.

Keywords:
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