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互质阵中基于降维求根的波达角估计算法

李建峰 沈明威 蒋德富

李建峰, 沈明威, 蒋德富. 互质阵中基于降维求根的波达角估计算法[J]. 电子与信息学报, 2018, 40(8): 1853-1859. doi: 10.11999/JEIT171087
引用本文: 李建峰, 沈明威, 蒋德富. 互质阵中基于降维求根的波达角估计算法[J]. 电子与信息学报, 2018, 40(8): 1853-1859. doi: 10.11999/JEIT171087
LI Jianfeng, SHEN Mingwei, JIANG Defu . Reduced-dimensional Root Finding Based Direction of Arrival Estimation for Coprime Array[J]. Journal of Electronics and Information Technology, 2018, 40(8): 1853-1859. doi: 10.11999/JEIT171087
Citation: LI Jianfeng, SHEN Mingwei, JIANG Defu . Reduced-dimensional Root Finding Based Direction of Arrival Estimation for Coprime Array[J]. Journal of Electronics and Information Technology, 2018, 40(8): 1853-1859. doi: 10.11999/JEIT171087

互质阵中基于降维求根的波达角估计算法

doi: 10.11999/JEIT171087
基金项目: 

国家自然科学基金(61601167, 61771182), 中央高校基本科研业务费专项资金资助(2018B15914)

Reduced-dimensional Root Finding Based Direction of Arrival Estimation for Coprime Array

Funds: 

The National Natural Science Foundation of China (61601167, 61771182), The Fundamental Research Funds for the Central Universities (2018B15914)

  • 摘要: 该文提出互质阵中基于降维求根的波达角(DOA)估计算法。互质阵包含两个稀疏均匀线性子阵,拥有互质的阵元间距和阵元数目。该算法基于子阵间的互协方差,利用较长子阵中的旋转不变性扩展较短子阵的虚拟孔径。然后通过矩阵分块构造噪声子空间,并将来自两个子阵的2维参数估计问题降维为1维求根问题,获得自动配对的2维模糊参数估计。最后由这2维模糊参数可恢复出两组参数,根据互质性从两组参数估计的交集中可以获得无模糊的高分辨率DOA估计。相比互质阵中的联合多重信号分类(MUSIC)算法和联合旋转不变技术(ESPRIT)算法,该算法无需特征分解,复杂度低,但可获得更精确的DOA估计,处理更多的信源,并且对色噪声有更强的鲁棒性。多个仿真结果均验证了所提算法的有效性。
  • GERSHMAN A B, RBSAMEN M, and PESAVENTO M. One-and two-dimensional direction-of-arrival estimation: An overview of search-free techniques[J]. Signal Processing, 2010, 90(5): 1338-1349. doi: 10.1016/j.sigpro.2009.12.008.
    SHEN Qing, LIU Wei, CUI Wei, et al. Underdetermined DOA estimation under the compressive sensing framework: A review[J]. IEEE Access, 2017, 4(99): 8865-8878. doi: 10.1109/ ACCESS.2016.2628869.
    司伟建, 周炯赛, 曲志昱. 稀疏极化敏感阵列的波达方向和极化参数联合估计[J]. 电子与信息学报, 2016, 38(5): 1129-1134. doi: 10.11999/JEIT150840. SI Weijian, ZHOU Jiongsai, and QU Zhiyu. Joint DOA and polarization estimation with sparsely distributed polarization sensitive array[J]. Journal of Electronics Information Technology, 2016, 38(5): 1129-1134. doi: 10.11999/ JEIT150840.
    WANG Xianpeng, HUANG Mengxing, WU Xiaoqin, et al. Direction of arrival estimation for MIMO radar via unitary nuclear norm minimization[J]. Sensors, 2017, 17(4): 939-952. doi: 10.3390/s17040939.
    SCHMIDT R O. Multiple emitter location and signal parameter estimation[J]. IEEE Transactions on Antennas and Propagation, 1986, 34(3): 276-280. doi: 10.1109/TAP. 1986.1143830.
    GAO Feifei, NALLANATHAN A, and WANG Yide. Improved music under the coexistence of both circular and noncircular sources[J]. IEEE Transactions on Signal Processing, 2008, 56(7): 3033-3038. doi: 10.1109/TSP.2007. 916123.
    ROY R and KAILATH T. ESPRIT-estimation of signal parameters via rotational invariance techniques[J]. IEEE Transactions on Acoustics, Speech and Signal Processing, 1989, 37(7): 984-995. doi: 10.1109/29.32276.
    GAO Feifei and GERSHMAN A B. A generalized esprit approach to direction-of-arrival estimation[J]. IEEE Signal Processing Letters, 2005, 12(3): 254-257. doi: 10.1109/LSP. 2004.842276.
    MARCOS S, MARSAL A, and BENIDIR M. The propagator method for source bearing estimation[J]. Signal Processing, 1995, 42(2): 121-138. doi: 10.1016/0165-1684(94)00122-G.
    LI Jianfeng, ZHANG Xiaofei, and CHEN Han. Improved two-dimensional DOA estimation algorithm for two-parallel uniform linear arrays using propagator method[J]. Signal Processing, 2012, 92(12): 3032-3038. doi: 10.1016/j.sigpro. 2012.06.010.
    YE Zhongfu, DAI Jisheng, XU Xu, et al. DOA estimation for uniform linear array with mutual coupling[J]. IEEE Transactions on Aerospace Electronic Systems, 2009, 45(1): 280-288. doi: 10.1109/TAES.2009.4805279.
    PAL P and VAIDYANATHAN P P. Nested arrays: A novel approach to array processing with enhanced degrees of freedom[J]. IEEE Transactions on Signal Processing, 2010, 58(8): 4167-4181. doi: 10.1109/TSP.2010.2049264.
    ZHENG Guimei and TANG Jun. DOD and DOA estimation in bistatic MIMO radar for nested and coprime array with closed-form DOF[J]. International Journal of Electronics, 2016, 104(5): 885-897. doi: 10.1080/00207217. 2016.1253789.
    李建峰, 蒋德富, 沈明威. 基于平行嵌套阵互协方差的二维波达角联合估计算法[J]. 电子与信息学报, 2017, 39(3): 670-676. doi: 10.11999/JEIT160488. LI Jianfeg, JIANG Defu, and SHEN Mingwei. Joint two- dimensional direction of arrival estimation based on cross covariance matrix of parallel nested array[J]. Journal of Electronics Information Technology, 2017, 39(3): 670-676. doi: 10.11999/JEIT160488.
    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.
    QIN Si, ZHANG Yimin, AMIN M G, et al. DOA estimation exploiting a uniform linear array with multiple co-prime frequencies[J]. Signal Processing, 2017, 130(1): 37-46. doi: 10.1016/j.sigpro.2016.06.008.
    SHEN Qing, CUI Wei, LIU Wei, et al. Underdetermined wideband DOA estimation of off-grid sources employing the difference co-array concept[J]. Signal Processing, 2017, 130(1): 299-304. doi: 10.1016/j.sigpro.2016.07.022.
    ZHOU Chengwei, SHI Zhiguo, GU Yujie, et al. DECOM: DOA estimation with combined MUSIC for coprime array[C]. IEEE International Conference on Wireless Communications Signal Processing (WCSP), Hangzhou, China, 2013: 1-5. doi: 10.1109/WCSP.2013.6677080.
    SUN Fenggang, LAN Peng, and GAO Bin. Partial spectral search-based DOA estimation method for co-prime linear arrays[J]. Electronics Letters, 2015, 51(24): 2053-2055. doi: 10.1049/el.2015.2261.
    LI Jianfeng, SHEN Mingwei, and JIANG Defu. DOA estimation based on combined ESPRIT for co-prime array[C]. IEEE Asia-Pacific Conference on Antennas and Propagation (APCAP), Taipe, 2017: 117-118. doi: 10.1109/APCAP.2016. 7843126.
    GU Jianfeng and WEI Ping. Joint SVD of two cross- correlation matrices to achieve automatic pairing in 2-D angle estimation problems[J]. IEEE Antennas Wireless Propagation Letters, 2007, 6(99): 553-556. doi: 10.1109/ LAWP.2007.907913.
    WANG Qing, YANG Hang, CHEN Hua, et al. A low- complexity method for two-dimensional direction-of-arrival estimation using an L-shaped array[J]. Sensors, 2017, 17(1): 190-203. doi: 10.3390/s17010190.
    CHARG P, WANG Yide, and SAILLARD J. A non- circular sources direction finding method using polynomial rooting[J]. Signal Processing, 2001, 81(8): 1765-1770. doi: 10.1016/S0165-1684(01)00071-8.
    PAL P and VAIDYANATHAN P P. Coprime sampling and the MUSIC algorithm[C]. Digital Signal Processing Workshop and IEEE Signal Processing Education Workshop (DSP/SPE), Sedona, USA, 2011: 289-294. doi: 10.1109/ DSP-SPE.2011.5739227.
    QIN Si, ZHANG Yimin, and AMIN M G. DOA estimation of mixed coherent and uncorrelated targets exploiting coprime MIMO radar[J]. Digital Signal Processing, 2016, 61(1): 26-34. doi: 10.1016/j.dsp.2016.06.006.
    LI Fu and VACCARO R J. Performance degradation of DOA estimators due to unknown noise fields[J]. IEEE Transactions on Signal Processing, 1992, 40(3): 686-690. doi: 10.1109/78. 120813.
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出版历程
  • 收稿日期:  2017-11-20
  • 修回日期:  2018-04-18
  • 刊出日期:  2018-08-19

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