Journal of Jilin University(Engineering and Technology Edition) ›› 2020, Vol. 50 ›› Issue (2): 703-710.doi: 10.13229/j.cnki.jdxbgxb20181221

Previous Articles    

Toeplitz matrices reconstruction based DOA estimation for coherent signals

Wei ZHANG1,2(),Yong HAN3,Ming JIN3(),Xiao-lin QIAO3   

  1. 1.School of Electronics and Information Engineering, Harbin Institute of Technology, Harbin 150001
    2.School of Electrical & Information Engineering, North Minzu University, Yinchuan 750021, China
    3.School of Information Engineering, Harbin Institute of Technology at Weihai, Weihai 264209, China
  • Received:2018-12-10 Online:2020-03-01 Published:2020-03-08
  • Contact: Ming JIN E-mail:zv45@163.com;jmhit2013@163.com

Abstract:

Most of the state-of-the-art Toeplitz matrix reconstruction algorithms for direction-of-arrival (DOA) estimation of coherent signals use partial correction or covariance matrix information from the received signals, which leads to the incomplete information utilization, and denoising preprocessing is needed in some methods. To overcome this disadvantage, a modified algorithm is presented by adopting the entire correlation information of the received data from all array sensors to reconstruct a set of Toeplitz matrices. After Hermitian transpositing and forward/backward averaging, the equivalent full rank covariance matrix is utilized for coherent signals DOA estimation combined the ESPRIT algorithm with low computation. The presented method avoids denoising processing and the simulation results show the effectiveness of the proposed method.

Key words: information processing technology, direction-of-arrival(DOA), coherent signals, Toeplitz matrix, uniform linear array(ULA)

CLC Number: 

  • TN911.7

Fig.1

Symmetric ULA model"

Fig.2

Probability of resolution vs. SNR and number of snapshots"

Fig.3

RMSE vs. SNR and number of snapshots"

Fig.4

Probability of resolution and RMSE vs. angle-interval"

Fig.5

Probability of resolution and RMSE vs. correlation coefficient"

1 Huang H, Liao B, Guo X, et al. DOA estimation of rectilinear signals with a partly calibrated uniform linear array[J]. Signal Processing, 2018, 147: 203-207.
2 Krim H, Viberg M. Two decades of array signal processing research: the parametric approach[J]. IEEE Signal Processing Magazine, 1996, 13(4): 67-94.
3 Shi J, Hu G, Zhang X, et al. Generalized co-prime MIMO radar for DOA estimation with enhanced degrees of freedom[J]. IEEE Sensors Journal, 2018, 18(3): 1203-1212.
4 Zhao W, Li G, Zheng C, et al. Capon cepstrum weighted l2, 1 minimization for wideband DOA estimation with sonar arrays[C]∥OCEANS 2016-Shanghai. IEEE, Shanghai, China, 2016: 1-4.
5 Shafin R, Liu L, Zhang J, et al. DOA estimation and capacity analysis for 3-D millimeter wave massive-MIMO/FD-MIMO OFDM systems[J]. IEEE Transactions on Wireless Communications, 2016, 15(10): 6963-6978.
6 Schmidt R O. Multiple emitter location and signal parameter estimation[J]. IEEE Transactions on Antennas and Propagation, 1986, 34(3): 276-280.
7 Roy R, 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.
8 Shan T J, Wax M, Kailath T. On spatial smoothing for direction-of-arrival estimation of coherent signals[J]. IEEE Transactions on Acoustics, Speech, and Signal Processing, 1985, 33(4): 806-811.
9 Pillai S U, Kwon B H. Forward/backward spatial smoothing techniques for coherent signal identification[J]. IEEE Transactions on Acoustics, Speech, and Signal Processing, 1989, 37(1): 8-15.
10 石要武, 陈淼, 单泽涛, 等. 基于特征空间MUSIC算法的相干信号波达方向空间平滑估计[J]. 吉林大学学报: 工学版, 2017, 47(1): 268-273.
Shi Yao-wu, Chen Miao, Shan Ze-tao, et al. Spatial smoothing technique for coherent signal DOA estimation based on eigen space MUSIC algorithm[J]. Journal of Jilin University (Engineering and Technology Edition), 2017, 47(1): 268-273.
11 甄佳奇, 司锡才, 王桐, 等. 基于正交直线阵列的二维相干源测向方法[J]. 吉林大学学报: 工学版, 2009, 39(6): 1659-1663.
Zhen Jia-qi, Si Xi-cai, Wang Tong, et al. Approach to 2-D DOA estimation for coherent signals based on orthogonal linear array[J]. Journal of Jilin University (Engineering and Technology Edition), 2009, 39(6): 1659-1663.
12 Han F M, Zhang X D. An ESPRIT-like algorithm for coherent DOA estimation[J]. IEEE Antennas and Wireless Propagation Letters, 2005, 4(1): 443-446.
13 陈辉, 黄本雄, 王永良. 基于互相关矢量重构的解相干算法研究[J]. 系统工程与电子技术, 2008, 30(6): 1005-1008, 1036.
Chen Hui, Huang Ben-xiong, Wang Yong-liang. DOA estimation of coherent signals based on cross-correlation vector reconstruction[J]. Systems Engineering and Electronics, 2008, 30(6): 1005-1008, 1036.
14 Jabr K A, Kwon H M, Tayem N. Modified UCA-ESPRIT for estimating DOA of coherent signals using one snapshot[C]∥Vehicular Technology Conference, IEEE, 2008: 290-293.
15 Ren S, Ma X, Yan S, et al. 2-D unitary ESPRIT-like direction-of-arrival(DOA) estimation for coherent signals with a uniform rectangular array[J]. Sensors, 2013, 13(4): 4272-4288.
16 司伟建, 吴迪, 韩惠莲. 基于相关Toeplitz预处理的二维测向方法[J]. 中南大学学报: 自然科学版, 2015, 46(8): 2892-2897.
Si Wei-jian, Wu Di, Han Hui-lian. 2-D direction finding method based on correlation Toeplitz pretreatment[J]. Journal of Central South University (Science and Technology), 2015, 46(8): 2892-2897.
17 毛维平, 李国林, 谢鑫, 等. 独立源与相干源并存的信源数估计[J]. 系统工程与电子技术, 2014, 36(3): 422-428.
Mao Wei-ping, Li Guo-lin, Xie Xin, et al. Source number estimation of coexisting uncorrelated and coherent sources[J]. Systems Engineering and Electronics, 2014, 36(3): 422-428.
18 谢鑫, 李国林, 刘华文. 采用单次快拍数据实现相干信号DOA估计[J]. 电子与信息学报, 2010, 32(3): 604-608.
Xie Xin, Li Guo-lin, Liu Hua-wen. DOA estimation of coherent signals using one snapshot[J]. Journal of Electronics & Information Technology, 2010, 32(3): 604-608.
19 王凌, 李国林, 刘坚强, 等. 一种基于数据矩阵重构的相干信源二维测向新方法[J]. 西安电子科技大学学报: 自然科学版, 2013, 40(2): 130-137.
Wang Ling, Li Guo-lin, Liu Jian-qiang, et al. New method for estimating 2-D DOA in the coherent source environment based on data matrix reconstruction[J]. Journal of Xidian University (Natural Science), 2013, 40(2): 130-137.
20 蒋柏峰, 吕晓德, 向茂生. 一种基于阵列接收信号重排的单快拍DOA估计方法[J]. 电子与信息学报, 2014, 36(6): 1334-1339.
Jiang Bai-feng, Xiao-de Lyu, Xiang Mao-sheng. Single snapshot DOA estimation method based on rearrangement of array receiving signal[J]. Journal of Electronics & Information Technology, 2014, 36(6): 1334-1339.
21 Qian C, Huang L, Zeng W J, et al. Direction-of-arrival estimation for coherent signals without knowledge of source number[J]. IEEE Sensors Journal, 2014, 14(9): 3267-3273.
[1] Yan-fen CHENG,Li-juan YAO,Qiao YUAN,Xian-qiao CHEN. Clearing strategy of underwater video image [J]. Journal of Jilin University(Engineering and Technology Edition), 2020, 50(2): 668-677.
[2] Xiao-hui YU,Zhi-cheng ZHANG,Xin-bo LI,Xiao-dong SUN. Parameter estimation of exponentially damped sinusoidsbased on state⁃space model [J]. Journal of Jilin University(Engineering and Technology Edition), 2019, 49(6): 2083-2088.
[3] Fu LIU, Mei-jing QUAN, Ke WANG, Yun LIU, Bing KANG, Zhi-wu HAN, Tao HOU. Indoor positioning method based on location fingerprinting of imitating mechanism of scorpion vibration source [J]. Journal of Jilin University(Engineering and Technology Edition), 2019, 49(6): 2076-2082.
[4] Zi-ji MA,Hao LU,Yan-ru DONG. Dual path convolutional neural network forsingle image super⁃resolution [J]. Journal of Jilin University(Engineering and Technology Edition), 2019, 49(6): 2089-2097.
[5] Hong-yan WANG,Yun-fei FANG,Sheng-qi ZHU,Bing-nan PEI. DOA estimation method considering mutual coupling effect in presence of non⁃uniform noise [J]. Journal of Jilin University(Engineering and Technology Edition), 2019, 49(5): 1706-1714.
[6] Yang LU,Shi-gang WANG,Wen-ting ZHAO,Yan ZHAO. Facial expression recognition based on separability assessment of discrete Shearlet transform [J]. Journal of Jilin University(Engineering and Technology Edition), 2019, 49(5): 1715-1725.
[7] Chao DONG,Jing⁃hong LIU,Fang XU,Ren⁃hao WANG. Fast ship detection in optical remote sensing images [J]. Journal of Jilin University(Engineering and Technology Edition), 2019, 49(4): 1369-1376.
[8] Ke⁃yan WANG,Yan HU,Huai WANG,Yun⁃song LI. Image dehazing algorithm by sky segmentation and superpixel⁃level dark channel [J]. Journal of Jilin University(Engineering and Technology Edition), 2019, 49(4): 1377-1384.
[9] Lu⁃tao LIU,Na LI. Source detection based on coprime array [J]. Journal of Jilin University(Engineering and Technology Edition), 2019, 49(3): 986-993.
[10] Tohtonur,Hai⁃long ZHANG,Jie WANG,Na WANG,Xin⁃chen YE,Wan⁃qiong WANG. High speed median filtering algorithm based on graphics processing unit [J]. Journal of Jilin University(Engineering and Technology Edition), 2019, 49(3): 979-985.
[11] Yin⁃juan FU,Yong LI,Li⁃qin XU,Kun⁃hui ZHANG. Design and analysis of NLFM⁃Costas RF stealth radar signal [J]. Journal of Jilin University(Engineering and Technology Edition), 2019, 49(3): 994-999.
[12] YING Huan,LIU Song-hua,TANG Bo-wen,HAN Li-fang,ZHOU Liang. Efficient deterministic replay technique based on adaptive release strategy [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(6): 1917-1924.
[13] LIU Zhong-min,WANG Yang,LI Zhan-ming,HU Wen-jin. Image segmentation algorithm based on SLIC and fast nearest neighbor region merging [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(6): 1931-1937.
[14] SHAN Ze-biao,LIU Xiao-song,SHI Hong-wei,WANG Chun-yang,SHI Yao-wu. DOA tracking algorithm using dynamic compressed sensing [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(6): 1938-1944.
[15] QUAN Wei, HAO Xiao-ming, SUN Ya-dong, BAI Bao-hua, WANG Yu-ting. Development of individual objective lens for head-mounted projective display based on optical system of actual human eye [J]. 吉林大学学报(工学版), 2018, 48(4): 1291-1297.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!