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Subarray reconstruction 2D-DOA estimation algorithmbased on matrix completion(PDF)


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Subarray reconstruction 2D-DOA estimation algorithmbased on matrix completion
Zeng Wenhao1Zhu Xiaohua1Li Hongtao1Zhuang Shanna2
1.School of Electronic and Optical Engineering,Nanjing University of Science and Technology,Nanjing 210094,China; 2.School of Information Science and Technology,Shijiazhuang Tiedao University,Shijiazhuang 050043,China
array signal processing matrix completion subarray reconstruction direction-of-arrival estimation sparse arrays null space property singular value decomposition
An accelerated proximal gradient singular value thresholding based subarray reconstruct ESPRIT(APG-SRESPRIT)algorithm is proposed to improve the efficiency of two-dimensional direction-of-arrival(2D-DOA)estimation of sparse arrays.A DOA estimation signal model of sparse arrays is built based on matrix completion,and is proved to meet the null space property(NSP).The model is recovered to a complete signal model via accelerated proximal gradient singular value thresholding(APG),and subarrays are reconstructed to build a merged matrix.The singular value decomposition(SVD)of the merged matrix is solved,the target angles are obtained after subarray reconstruction,and the target angles can match automatically.Simulation experiments show that this algorithm can decrease the array number by 70%,and estimate the 2D-DOA of sparse arrays precisely.


[1] Zhao Guanghui,Liu Zicheng,Lin Jie,et al.Wideband DOA estimation based on sparse representation in 2-D frequency domain[J].IEEE Sensors Journal,2015,15(1):227-233.
Lin Min,Liu Yunfei,Gong Zhengquan.Signal DOA estimation with sensor position uncertainties[J].Journal of Nanjing University of Science and Technology,2003,27(4):381-384.
Gu Chen,He Jin,Wang Kerang,et al.ESPRIT-based algorithm for DOA estimation in arbitrary distribution impulsive noise environment[J].Journal of Nanjing University of Science and Technology,2009,33(6):785-789.
Zhuang Shanna,He Yapeng,Zhu Xiaohua.OFDM-MIMO radar waveform design for extended target detection[J].Journal of Nanjing University of Science and Technology,2012,36(2):309-313.
[5]郑植,李广军,滕云龙.低复杂度相干分布源二维 DOA 解耦估计方法[J].电波科学学报,2010,31(2):527-533.
Zheng Zhi,Li Guangjun,Teng Yunlong.Low-complexity method for the 2D DOA decoupled estimation of coherently distributed sources[J].Chinese Journal of Radio Science,2010 31(2):527-533.
[6]金梁,殷勤业.时空 DOA 矩阵方法[J].电子学报,2000,28(6):8-12.
Jin Liang,Yin Qinye.Space-time DOA matrix method[J].Acta Electronica Sinica,2000,28(6):8-12.
[7]金梁,殷勤业.时空 DOA 矩阵方法的分析与推广[J].电子学报,2001,29(3):300-303.
Jin Liang,Yin Qinye.Analysis and generalization of space-time DOA matrix method[J].Acta Electronica Sinica,2001,29(3):300-303.
[8]Heidenreich P,Zoubir A M,Rubsamen M.Joint 2-D DOA estimation and phase calibration for uniform rectangular arrays[J].IEEE Transactions on Signal Processing,2012,60(9):4683-4693.
[9]Zhang Wei,Liu Wei,Wang Ju,et al.Computationally efficient 2-D DOA estimation for uniform rectangular arrays[J].Multidimensional Systems & Signal Processing,2014,25(4):847-857.
[10]Hu Nan,Ye Zhongfu,Xu Xu,et al.DOA estimation for sparse array via sparse signal reconstruction[J].IEEE Transactions on Aerospace & Electronic Systems,2013,49(2):760-773.
[11]Candes E J,Eldar Y C,Strohmer T,et al.Phase retrieval via matrix completion[J].SIAM Review,2015,57(2):225-251.
[12]Aravkin A,Kumar R,Mansour H,et al.Fast methods for denoising matrix completion formulations,with applications to robust seismic data interpolation[J].SIAM Journal on Scientific Computing,2014,36(5):S237-S266.
[13]Davenport M A,Plan Y,van den Berg E,et al.1-bit matrix completion[J].Information and Inference,2014,3(3):189-223.
[14]Kutyniok G.Compressed sensing:Theory and applications[J].Corr,2012,52(4):1289-1306.
Li Huihui,Zeng Yan,Yang Ning,et al.Improved compressed sensing reconstruction algorithm and its application in image fusion[J].Journal of Nanjing University of Science and Technology,2014,38(2):259-263.
[16]Cabral R,De la Torre F,Costeira J P,et al.Matrix completion for weakly-supervised multi-label image classification[J].IEEE Transactions on Pattern Analysis and Machine Intelligence,2015,37(1):121-135.
[17]Schenck C,Sinapov J,Johnston D,et al.Which object fits best?Solving matrix completion tasks with a humanoid robot[J].IEEE Transactions on Autonomous Mental Development,2014,6(3):226-240.
[18]Toh K C,Yun S.An accelerated proximal gradient algorithm for nuclear norm regularized least squares problems[J].Pacific Journal of Optimization,2010,6(3):615-640.
[19]Klopp O.Noisy low-rank matrix completion with general sampling distribution[J].Bernoulli,2014,20(1):282-303.
[20]Kumar R,Da Silva C,Akalin O,et al.Efficient matrix completion for seismic data reconstruction[J].Geophysics,2015,80(5):97-114.


Last Update: 2017-06-30