Two-dimensional DOA Estimation Method for L-shaped Array of Coherent Signals Based on Main Singular Vector

Xiaojie TANG; Minghao HE; Mingyue FENG; Changxiao CHEN; Jun HAN

doi:10.11999/JEIT190455

Volume 42 Issue 11

Nov. 2020

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Article Navigation > Journal of Electronics & Information Technology > 2020 > 42(11): 2579-2586

Xiaojie TANG, Minghao HE, Mingyue FENG, Changxiao CHEN, Jun HAN. Two-dimensional DOA Estimation Method for L-shaped Array of Coherent Signals Based on Main Singular Vector[J]. Journal of Electronics & Information Technology, 2020, 42(11): 2579-2586. doi: 10.11999/JEIT190455

Citation:

Xiaojie TANG, Minghao HE, Mingyue FENG, Changxiao CHEN, Jun HAN. Two-dimensional DOA Estimation Method for L-shaped Array of Coherent Signals Based on Main Singular Vector[J]. Journal of Electronics & Information Technology, 2020, 42(11): 2579-2586. doi: 10.11999/JEIT190455

Citation:

Xiaojie TANG, Minghao HE, Mingyue FENG, Changxiao CHEN, Jun HAN. Two-dimensional DOA Estimation Method for L-shaped Array of Coherent Signals Based on Main Singular Vector[J]. Journal of Electronics & Information Technology, 2020, 42(11): 2579-2586. doi: 10.11999/JEIT190455

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Two-dimensional DOA Estimation Method for L-shaped Array of Coherent Signals Based on Main Singular Vector

doi: 10.11999/JEIT190455

Air Force Early Warning Academy, Wuhan 430019, China

Funds: The Natural Science Foundation of Hubei Province (2019CFB383)

Received Date: 2019-06-20
Rev Recd Date: 2020-04-01

Available Online: 2020-08-29

Publish Date: 2020-11-16

Abstract

Abstract

In order to handle the problem that the existing DOA estimation algorithm for L-shaped array of coherent signals is not accurate and the aperture loss is large, a method named L-shaped array Principal-singular-vector Utilization for Modal Analysis (L-PUMA) and its modified algorithm named L-shaped array Modified PUMA (L-MPUMA) are proposed. L-PUMA algorithm first denoises the cross-covariance matrix, then obtains the two-dimensional main singular vector by singular value decomposition, and then obtains the polynomial coefficient of the linear prediction equation by weighted least squares method. The root of the linear prediction equation is the DOA estimation of the signals. Finally, a new pairing algorithm is proposed to realize the pairing of elevation and azimuth. L-MPUMA algorithm uses the inverse conjugate transform to obtain the augmented main singular vector, which further improves the data utilization rate and overcomes the problem that the performance of L-PUMA deteriorates seriously when the signals are completely coherent. Simulation experiments verify the efficiency of the proposed algorithm.
- Two-Dimensional DOA estimation,
- Coherent signals,
- L-shaped array,
- Weighted least squares

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References(17)

References

刘松, 庞育才. 基于扩展ESPRIT的随机阵列高效DOA估计算法[J]. 电子与信息学报, 2019, 41(6): 1324–1329. doi: 10.11999/JEIT180672

LIU Song and PANG Yucai. Efficient augmented ESPRIT-based direction-of-arrival estimation algorithm for random arrays[J]. Journal of Electronics &Information Technology, 2019, 41(6): 1324–1329. doi: 10.11999/JEIT180672

杨康, 文方青, 黄冬梅, 等. 基于实值三线性分解的互耦条件下双基地MIMO雷达角度估计算法[J]. 系统工程与电子技术, 2018, 40(2): 314–321. doi: 10.3969/j.issn.1001-506X.2018.02.12

YANG Kang, WEN Fangqing, HUANG Dongmei, et al. Real-value-based trilinear decomposition-based direction estimation algorithm for bistatic MIMO radar in the presence of mutual coupling[J]. Systems Engineering and Electronics, 2018, 40(2): 314–321. doi: 10.3969/j.issn.1001-506X.2018.02.12

赵洋, 李新波, 石要武. 声矢量阵列波达方向估计的四元数空间稀疏分解[J]. 光学精密工程, 2018, 26(3): 715–722. doi: 10.3788/OPE.20182603.0715

ZHAO Yang, LI Xinbo, and SHI Yaowu. Quaternion sparse decomposition algorithm for DOA estimation with acoustic vector sensor array[J]. Optics and Precision Engineering, 2018, 26(3): 715–722. doi: 10.3788/OPE.20182603.0715

史云飞, 郝永生, 刘德亮, 等. RSS协助的Ray-tracing室内定位算法[J]. 信号处理, 2018, 34(10): 1259–1266. doi: 10.16798/j.issn.1003-0530.2018.10.015

SHI Yunfei, HAO Yongsheng, LIU Deliang, et al. RSS-assisted Ray-tracing indoor positioning algorithm[J]. Journal of Signal Processing, 2018, 34(10): 1259–1266. doi: 10.16798/j.issn.1003-0530.2018.10.015

CHEN Y H and LIAN Y T. 2-D multitarget angle tracking algorithm using sensor array[J]. IEE Proceedings – Radar, Sonar and Navigation, 1995, 142(4): 158–161. doi: 10.1049/ip-rsn:19951984

陈建, 王树勋, 魏小丽. 一种基于L型阵列的二维波达方向估计的新方法[J]. 吉林大学学报: 工学版, 2006, 36(4): 590–593.

CHEN Jian, WANG Shuxun, and WEI Xiaoli. New method for estimating two-dimensional direction of arrival based on L-shape array[J]. Journal of Jilin University:Engineering and Technology Edition, 2006, 36(4): 590–593.

景小荣, 刘雪峰. L型阵列的二维DOA估计方法[J]. 重庆邮电大学学报: 自然科学版, 2016, 28(1): 24–29. doi: 10.3979/j.issn.1673-825X.2016.01.004

JING Xiaorong and LIU Xuefeng. Method of two-dimensional DOA estimation for L-shaped array[J]. Journal of Chongqing University of Posts and Telecommunications:Natural Science Edition, 2016, 28(1): 24–29. doi: 10.3979/j.issn.1673-825X.2016.01.004

ZHANG Xiaofei, LI Jianfeng, and XU Lingyun. Novel two-dimensional DOA estimation with L-shaped array[J]. EURASIP Journal on Advances in Signal Processing, 2011, 2011(1): 50. doi: 10.1186/1687-6180-2011-50

杨艳飞, 高健, 张兴敢. 一种基于L型阵列的改进的二维DOA估计方法[J]. 南京大学学报: 自然科学, 2016, 52(5): 953–959. doi: 10.13232/j.cnki.jnju.2016.05.023

YANG Yanfei, GAO Jian, and ZHANG Xinggan. An improved method for estimating two-dimensional DOA based on L-shape array[J]. Journal of Nanjing University:Natural Sciences, 2016, 52(5): 953–959. doi: 10.13232/j.cnki.jnju.2016.05.023

FRIEDLANDER B and WEISS A J. Direction finding using spatial smoothing with interpolated arrays[J]. IEEE Transactions on Aerospace and Electronic Systems, 1992, 28(2): 574–587. doi: 10.1109/7.144583

GU Jianfeng, WEI Ping, and TAI Hengming. 2-D direction-of-arrival estimation of coherent signals using cross-correlation matrix[J]. Signal Processing, 2008, 88(1): 75–85. doi: 10.1016/j.sigpro.2007.07.013

史清响, 马秀荣, 谢玉凤, 等. 基于相关矢量法L型阵列相干信号DOA估计[J]. 科学技术与工程, 2015, 15(8): 194–198. doi: 10.3969/j.issn.1671-1815.2015.08.037

SHI Qingxiang, MA Xiurong, XIE Yufeng, et al. DOA estimation of coherent signals based on correlation vector method with L-shaped array[J]. Science Technology and Engineering, 2015, 15(8): 194–198. doi: 10.3969/j.issn.1671-1815.2015.08.037

刁鸣, 安春莲. 独立信号与相干信号并存的二维DOA估计新方法[J]. 西安电子科技大学学报: 自然科学版, 2013, 40(5): 66–71, 98. doi: 10.3969/j.issn.1001-2400.2013.05.011

DIAO Ming and AN Chunlian. 2-D DOA estimation of coexisting uncorrelated and coherent signals[J]. Journal of Xidian University, 2013, 40(5): 66–71, 98. doi: 10.3969/j.issn.1001-2400.2013.05.011

QIAN Cheng, HUANG Lei, CAO Mingyang, et al. PUMA: An improved realization of MODE for DOA estimation[J]. IEEE Transactions on Aerospace and Electronic Systems, 2017, 53(5): 2128–2139. doi: 10.1109/TAES.2017.2683598

LIU Z M, LU Z Y, HUANG Z T, et al. Improved Gerschgorin disk estimator for source enumeration with robustness against spatially non-uniform noise[J]. IET Radar, Sonar & Navigation, 2011, 5(9): 952–957. doi: 10.1049/iet-rsn.2011.0188

安春莲. 独立信号与相干信号并存的测向算法研究[D]. [博士论文], 哈尔滨工程大学, 2013.

AN Chunlian. Research on direction finding for coexisted uncorrelated and coherent sources[D]. [Ph. D. dissertation], Harbin Engineering University, 2013.

WEI Yinsheng and GUO Xiaojiang. Pair-matching method by signal covariance matrices for 2D-DOA estimation[J]. IEEE Antennas and Wireless Propagation Letters, 2014, 13: 1199–1202. doi: 10.1109/LAWP.2014.2331076

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