DOA估计算法评价准则在不同功率入射信号下的修正

方庆园, 韩勇, 金梦哲, 刘卫东

方庆园, 韩勇, 金梦哲, 刘卫东. DOA估计算法评价准则在不同功率入射信号下的修正[J]. 信号处理, 2021, 37(7): 1285-1294. DOI: 10.16798/j.issn.1003-0530.2021.07.019
引用本文: 方庆园, 韩勇, 金梦哲, 刘卫东. DOA估计算法评价准则在不同功率入射信号下的修正[J]. 信号处理, 2021, 37(7): 1285-1294. DOI: 10.16798/j.issn.1003-0530.2021.07.019
FANG Qingyuan, HAN Yong, JIN Mengzhe, LIU Weidong. Modification of Evaluation Criterion for DOA Estimation Algorithms in Resolving Incident Signals with Different Power[J]. JOURNAL OF SIGNAL PROCESSING, 2021, 37(7): 1285-1294. DOI: 10.16798/j.issn.1003-0530.2021.07.019
Citation: FANG Qingyuan, HAN Yong, JIN Mengzhe, LIU Weidong. Modification of Evaluation Criterion for DOA Estimation Algorithms in Resolving Incident Signals with Different Power[J]. JOURNAL OF SIGNAL PROCESSING, 2021, 37(7): 1285-1294. DOI: 10.16798/j.issn.1003-0530.2021.07.019

DOA估计算法评价准则在不同功率入射信号下的修正

基金项目: 国家自然科学基金青年基金(61801309);河北省自然科学基金青年基金(F2018210136);中国博士后科学基金面上项目(2017M623400)
详细信息
  • 中图分类号: TN97

Modification of Evaluation Criterion for DOA Estimation Algorithms in Resolving Incident Signals with Different Power

  • 摘要: 针对复杂电磁环境中信号功率对入射信号波达方向(DOA)估计的影响问题进行研究,发现用于DOA估计算法性能分析的经典评价准则对不同功率入射信号存在局限性。针对该问题,首先证明了强信号功率会影响弱信号DOA估计性能,得到强信号功率增加会导致弱信号功率克拉美罗界上升,即弱信号DOA估计的均方根误差增加。然后分析了DOA估计算法的经典评价准则对分辨不同功率入射信号存在的局限性,通过蒙特卡洛实验验证了经典评价准则对分辨不同功率入射信号存在较大误判率,当弱信号信噪比低于5dB时,其误判率大于50%。最后本文提出了DOA估计算法新的评价准则,并仿真证明了新准则较经典准则更适用于分辨弱信号信噪比较低时的不同功率入射信号。所提出的评价准则可为基于空间谱估计的DOA估计算法性能分析提供参考依据。
    Abstract: In this paper, the effect of signal power on the DOA estimation of incident signals in complex electromagnetic environment is investigated. It is found that the classic evaluation criterion for performance analysis of DOA estimation algorithms has limitations on incident signals with different power. Thus, this paper first demonstrates that the power of strong signal has influence on the DOA estimation performance of weak signal. The increasing of strong signal power will lead to the rising of Cramer-Rao Lower Bound of weak signal, that is, the increasing of the root mean square error. Then this paper analyzes the limitations of the classic evaluation criterion for DOA estimation algorithms in resolving incident signals with different power. Further Monte Carlo experiment results prove that the classic evaluation criterion has a large misjudgment rate for resolving incident signals with different power. When the signal to noise ratio (SNR) of the weak signal is below 5dB, the misjudgment rate of the classic evaluation criterion is higher than 50%. Finally, this paper proposes a new evaluation criterion for DOA estimation algorithm in resolving incident signals with different power. The simulation results indicate that the proposed criterion has better resolution than the classical criterion in dealing with incident signals with different power when the SNR of the weak signal is low. The evaluation criteria proposed in this paper can provide a reference for the performance analysis of DOA estimation algorithm based on spatial spectrum.
  • [1] Chen X, Shu T, Yu K, et al. Joint adaptive beamforming techniques for distributed array radars in multiple mainlobe and sidelobe jammings[J]. IEEE Antennas and Wireless Propagation Letters, 2020, 19(2): 248-252.
    [2] 刘尚合,刘卫东.电磁兼容与电磁防护相关研究进展[J].高电压技术,2014,40(06):1605-1613.
    [3] Liu Shanghe, Liu Weidong. Progress of relevant research on electromagnetic compatibility and electromagnetic protection[J]. High Voltage Engineering, 2014, 40(06): 1605-1613. (in Chinese)
    [4] Dawood H S, Hussein A H, Gemeay E, et al. DOA/MoM-based ABF algorithm for SINR enhancement[J]. IET Communications, 2019, 13(11): 1565-1572.
    [5] Schoenecker S, Willett P, Bar-Shalom Y. Resolution limits for tracking closely spaced targets[J]. IEEE Transactions on Aerospace and Electronic Systems, 2018, 54(6): 2900-2910.
    [6] McCloud M L, Scharf L L. A new subspace identification algorithm for high-resolution DOA estimation[J]. IEEE Transactions on Antennas & Propagation, 2002, 50(10): 1382-1390.
    [7] Lee J H, Lee C C. Analysis of the performance and sensitivity of an eigenspace-based interference canceler[J]. IEEE Transactions on Antennas & Propagation, 2000, 48(5): 826-835.
    [8] Han Y, Fang Q, Yan F, et al. Joint DOA and polarization estimation for unequal power sources based on reconstructed noise subspace[J]. Journal of Systems Engineering and Electronics, 2016, 27(3): 501-513.
    [9] 方庆园,韩勇,金铭,等.基于噪声子空间特征值重构的DOA估计算法[J].电子与信息学报,2014,36(12):2876-2881.
    [10] Fang Qingyuan, Han Yong, Jin Ming, et al. DOA estimation based on eigenvalue reconstruction of noise subspace[J]. Journal of Electronics and Information Technology, 2014,36(12): 2876-2881. (in Chinese)
    [11] 徐亮,曾操,廖桂生,等.基于特征波束形成的强弱信号波达方向与信源数估计方法[J].电子与信息学报,2011,33(2):321-325.
    [12] Xu Liang, Zeng Cao, Liao Guisheng, et al. DOA and source number estimation method for strong and weak signals based on eigen beamforming[J]. Journal of Electronics and Information Technology, 2011, 33(2): 321-325. (in Chinese)
    [13] Gao Y, Xu J, Jia X. Joint number and DOA estimation via the eigen-beam mCapon method for closely spaced sources[J]. Science China Information Sciences, 2015, 58(12): 217-219.
    [14] Chen L, Qi W, Liu P, et al. Low-Complexity joint 2-D DOA and TOA estimation for multipath OFDM signals[J]. IEEE Signal Processing Letters, 2019, 26(11): 1583-1587.
    [15] Zhang X, Chen W, Zheng W, et al. Localization of Near-field sources: A Reduced-Dimension MUSIC algorithm[J]. IEEE Communications Letters, 2018, 22(7): 1422-1425.
    [16] Di Claudio E D, Parisi R, Jacovitti G. Space time MUSIC: Consistent signal subspace estimation for wideband sensor arrays[J]. IEEE Transactions on Signal Processing, 2018, 66(10): 2685-2699.
    [17] Kaveh M, Barabell A. The statistical performance of the MUSIC and the minimum-norm algorithms in resolving plane waves in noise[J]. IEEE Transactions on Acoustics Speech & Signal Processing, 1986, 34(2): 331-341.
    [18] 程正东,罗景青,樊祥,等.信号源功率不一致对MUSIC算法分辨性能的影响[J].电子与信息学报,2008,30(5):1088-1091.
    [19] Cheng Zhengdong, Luo Jingqing, Fan Xiang, et al. Effect of power difference of two signal sources on resolving performance of MUSIC algorithm[J]. Journal of Electronics and Information Technology, 2008, 30(5): 1088-1091. (in Chinese)
    [20] 樊祥,程正东,马东辉,等.两信号源的相关性对MUSIC算法分辨性能的影响[J].电子学报,2008,36(12):2315-2318.
    [21] Fan Xiang, Cheng Zhengdong, Ma Donghui, et al. Effect of correlation of two signal sources on resolution performance of MUSIC algorithm[J]. Acta Electronica Sinica, 2008, 36(12): 2315-2318. (in Chinese)
    [22] Zhang Q T. Probability of resolution of the MUSIC algorithm[J]. IEEE Transactions on Signal Processing, 1995, 43(4): 978-987.
    [23] 刘德树.空间谱估计及应用[M].合肥:中国科学技术大学出版社,1997:205-206.
    [24] Liu Deshu. Spatial spectrum estimation and its applications[M]. Hefei: China Science and Technology University Press, 1997: 1997:205-206.
计量
  • 文章访问数:  106
  • HTML全文浏览量:  44
  • PDF下载量:  151
  • 被引次数: 0
出版历程
  • 收稿日期:  2020-12-27
  • 修回日期:  2021-03-31
  • 发布日期:  2021-07-24

目录

    /

    返回文章
    返回