Advanced Search
Volume 43 Issue 12
Dec.  2021
Turn off MathJax
Article Contents
Bing SUN, Huailin RUAN, Chenxi WU, Hua ZHONG, Shilong WU. Underdetermined Direction of Arrival Estimation for Coprime Array in the Presence of Nonuniform Noise[J]. Journal of Electronics & Information Technology, 2021, 43(12): 3687-3694. doi: 10.11999/JEIT210027
Citation: Bing SUN, Huailin RUAN, Chenxi WU, Hua ZHONG, Shilong WU. Underdetermined Direction of Arrival Estimation for Coprime Array in the Presence of Nonuniform Noise[J]. Journal of Electronics & Information Technology, 2021, 43(12): 3687-3694. doi: 10.11999/JEIT210027

Underdetermined Direction of Arrival Estimation for Coprime Array in the Presence of Nonuniform Noise

doi: 10.11999/JEIT210027
Funds:  The National Natural Science Foundation of China (61171170), The Anhui Province Natural Science Foundation (1908085QF280)
  • Received Date: 2021-01-08
  • Rev Recd Date: 2021-03-30
  • Available Online: 2021-04-02
  • Publish Date: 2021-12-21
  • The underdetermined Direction Of Arrival (DOA) estimation method based on the coprime array will degrade in the presence of nonuniform noise. To address this problem, a robust DOA estimation method based on covariance matrix reconstruction and matrix completion is proposed in this paper. Firstly, the covariance matrix of the received data is decomposed to obtain a diagonal matrix containing non-uniform noise terms. Then, the minimum value of the diagonal matrix elements is selected to replace the remaining diagonal matrix elements to obtain the reconstructed data covariance matrix. Finally, based on the matrix completion theory, the reconstructed covariance matrix is extended and filled, and the subspace method is used for DOA estimation. Theoretical analysis and simulation results show that, compared with the existing methods, the proposed method suppresses effectively the influence of nonuniform noise and has better DOA estimation performance.
  • loading
  • [1]
    VAIDYANATHAN P P and PAL P. Sparse sensing with co-prime samplers and arrays[J]. IEEE Transactions on Signal Processing, 2011, 59(2): 573–586. doi: 10.1109/TSP.2010.2089682
    [2]
    QIN Si, ZHANG Y D, and AMIN M G. Generalized coprime array configurations for direction-of-arrival estimation[J]. IEEE Transactions on Signal Processing, 2015, 63(6): 1377–1390. doi: 10.1109/TSP.2015.2393838
    [3]
    WANG Xiaomeng and WANG Xin. Hole identification and filling in k-times extended co-prime arrays for highly efficient DOA estimation[J]. IEEE Transactions on Signal Processing, 2019, 67(10): 2693–2706. doi: 10.1109/TSP.2019.2899292
    [4]
    SUN Bing, WU Chenxi, and RUAN Huailin. Array diagnosis and DOA estimation for coprime array under sensor failures[J]. Sensors, 2020, 20(9): 2735. doi: 10.3390/s20092735
    [5]
    RAZA A, LIU Wei, and SHEN Qing. Thinned coprime array for second-order difference co-array generation with reduced mutual coupling[J]. IEEE Transactions on Signal Processing, 2019, 67(8): 2052–2065. doi: 10.1109/TSP.2019.2901380
    [6]
    PAL P and VAIDYANATHAN P P. Coprime sampling and the music algorithm[C]. 2011 Digital Signal Processing and Signal Processing Education Meeting, Sedona, USA, 2011: 289–294. doi: 10.1109/DSP-SPE.2011.5739227.
    [7]
    ZHANG Y D, AMIN M G, and HIMED B. Sparsity-based DOA estimation using co-prime arrays[C]. 2013 IEEE International Conference on Acoustics, Speech and Signal Processing, Vancouver, Canada, 2013: 3967–3971. doi: 10.1109/ICASSP.2013.6638403.
    [8]
    ZHOU Chengwei, GU Yujie, FAN Xing, et al. Direction-of-arrival estimation for coprime array via virtual array interpolation[J]. IEEE Transactions on Signal Processing, 2018, 66(22): 5956–5971. doi: 10.1109/TSP.2018.2872012
    [9]
    MATVEYEV A L, GERSHMAN A B, and BÖHME J F. On the direction estimation Cramér-Rao bounds in the presence of uncorrelated unknown noise[J]. Circuits, Systems and Signal Processing, 1999, 18(5): 479–487. doi: 10.1007/BF01387467
    [10]
    GERSHMAN A B, MATVEYEV A L, and BOHME J F. Maximum likelihood estimation of signal power in sensor array in the presence of unknown noise field[J]. IEE Proceedings - Radar, Sonar and Navigation, 1995, 142(5): 218–224. doi: 10.1049/ip-rsn:19952141
    [11]
    PESAVENTO M and GERSHMAN A B. Maximum-likelihood direction-of-arrival estimation in the presence of unknown nonuniform noise[J]. IEEE Transactions on Signal Processing, 2001, 49(7): 1310–1324. doi: 10.1109/78.928686
    [12]
    WU Y, HOU C, LIAO G, et al. Direction-of-arrival estimation in the presence of unknown nonuniform noise fields[J]. IEEE Journal of Oceanic Engineering, 2006, 31(2): 504–510. doi: 10.1109/JOE.2006.875270
    [13]
    CHEN C E, LORENZELLI F, HUDSON R E, et al. Stochastic maximum-likelihood DOA estimation in the presence of unknown nonuniform noise[J]. IEEE Transactions on Signal Processing, 2008, 56(7): 3038–3044. doi: 10.1109/TSP.2008.917364
    [14]
    LIAO Bin, CHAN S C, HUANG Lei, et al. Iterative methods for subspace and DOA estimation in nonuniform noise[J]. IEEE Transactions on Signal Processing, 2016, 64(12): 3008–3020. doi: 10.1109/TSP.2016.2537265
    [15]
    ESFANDIARI M, VOROBYOV S A, ALIBANI S, et al. Non-iterative subspace-based DOA estimation in the presence of nonuniform noise[J]. IEEE Signal Processing Letters, 2019, 26(6): 848–852. doi: 10.1109/LSP.2019.2909587
    [16]
    HE Zhenqing, SHI Zhiping, and HUANG Lei. Covariance sparsity-aware DOA estimation for nonuniform noise[J]. Digital Signal Processing, 2014, 28: 75–81. doi: 10.1016/j.dsp.2014.02.013
    [17]
    HE Zhenqing, SHI Zhiping, HUANG Lei, et al. Underdetermined DOA estimation for wideband signals using robust sparse covariance fitting[J]. IEEE Signal Processing Letters, 2015, 22(4): 435–439. doi: 10.1109/LSP.2014.2358084
    [18]
    TIAN Ye, SHI Hongyin, and XU He. DOA estimation in the presence of unknown non-uniform noise with coprime array[J]. Electronics Letters, 2017, 53(2): 113–115. doi: 10.1049/el.2016.3944
    [19]
    吴晨曦, 张旻, 王可人. 非均匀噪声背景下的欠定DOA估计方法[J]. 系统工程与电子技术, 2018, 40(3): 498–503. doi: 10.3969/j.issn.1001-506X.2018.03.02

    WU Chenxi, ZHANG Min, and WANG Keren. Underdetermined direction of arrival estimation with nonuniform noise[J]. Systems Engineering and Electronics, 2018, 40(3): 498–503. doi: 10.3969/j.issn.1001-506X.2018.03.02
    [20]
    LIU Ke and ZHANG Y D. Coprime array-based DOA estimation in unknown nonuniform noise environment[J]. Digital Signal Processing, 2018, 79: 66–74. doi: 10.1016/j.dsp.2018.04.003
    [21]
    孙兵, 阮怀林, 吴晨曦, 等. 基于Toeplitz协方差矩阵重构的互质阵列DOA估计方法[J]. 电子与信息学报, 2019, 41(8): 1924–1930. doi: 10.11999/JEIT181041

    SUN Bing, RUAN Huailin, WU Chenxi, et al. Direction of arrival estimation with coprime array based on toeplitz covariance matrix reconstruction[J]. Journal of Electronics &Information Technology, 2019, 41(8): 1924–1930. doi: 10.11999/JEIT181041
    [22]
    CANDÈS E J and RECHT B. Exact matrix completion via convex optimization[J]. Foundations of Computational Mathematics, 2009, 9(6): 717–772. doi: 10.1007/s10208-009-9045-5
    [23]
    CAI Jianfeng, CANDÈS E J, and SHEN Zuowei. A singular value thresholding algorithm for matrix completion[J]. SIAM Journal on Optimization, 2010, 20(4): 1956–1982. doi: 10.1137/080738970
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Figures(6)

    Article Metrics

    Article views (1091) PDF downloads(158) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return