一种不依赖超参数的稀疏信号单快拍DOA估计方法

doi:10.12305/j.issn.1001-506X.2021.04.05

Abstract

Abstract:

Based on the sparse representation of the array output model, the issue of direction-of-arrival (DOA) estimation for coherent signals is researched utilizing the single-snapshot data. An interference covariance matrix is defined as a weighed matrix, and the high-precision estimation of single-snapshot DOA is realized by the iterative adaptive solution of a weighted least squares (WLS), abbreviated to WLS-IAE. The computational complexity of the algorithm is analyzed in detail, and compared with that of the classical sparse estimation algorithm. As a sparse representation estimation method, the proposed algorithm not only maintains good estimation performance under non-ideal conditions such as low signal to noise ratio, single snapshot, coherent sources and nearby sources, but also do not require to select hyperparameters, and has low computational complexity and hard real time, which is particularly useful for the real-time measurement and tracking of time-varying DOA with potential practical value. Simulation experiments verify the efficacy of the proposed algorithm.

Key words: single-snapshot, sparse representation, direction-of-arrival (DOA), weighted least squares (WLS)

CLC Number:

Fei YU, Yun YU, Lihui ZHOU, Chunguang PENG. Hyperparameter-free sparse signal direction-of-arrival estimation method with single-snapshot[J]. Systems Engineering and Electronics, 2021, 43(4): 894-900.

Figures/Tables 3

References 20

1	KRIM H , VIBERG M . Two decades of array signal processing research: the parametric approach[J]. IEEE Signal Processing Magazine, 1996, 7, 67- 94.
2	SCHIMIDT R O . Multiple emitter location and signal parameter estimation[J]. IEEE Trans. on Antennas and Propagation, 1986, 34 (3): 276- 280. doi: 10.1109/TAP.1986.1143830
3	ZHANG Y , BOON P N . MUSIC-like estimation without estimating the number of sources[J]. IEEE Trans. on Signal Processing, 2010, 58 (3): 1668- 1676. doi: 10.1109/TSP.2009.2037074
4	ROY R , KAILATH T . ESPRIT-estimation of signal parameters via rotational invariance techinques[J]. IEEE Trans. on Acoustics, Speech, and Signal Processing, 1989, 37 (7): 984- 995. doi: 10.1109/29.32276
5	ABOUTANIOS E , HASSANIEN A , AMIN M G , et al. Fast iterative interpolated beamforming for accurate single-snapshot DOA estimation[J]. IEEE Signal Processing Letters, 2017, 14 (4): 574- 578.
6	ROCCA P , HANNAN M A , SALUCCI M , et al. Single-snapshot DOA estimation in array antennas with mutual coupling through a multiscaling BCS strategy[J]. IEEE Trans. on Antennas and Propagation, 2017, 65 (6): 3203- 3213. doi: 10.1109/TAP.2017.2684137
7	RAJ A G , MCCLELLAN J H . Single snapshot super-resolution DOA estimation for arbitrary array geometries[J]. IEEE Signal Processing Letters, 2019, 26 (1): 119- 123. doi: 10.1109/LSP.2018.2881927
8	DU W , KIRLIN R L . Improved spatial smoothing techniques for DOA estimation of coherent signals[J]. IEEE Trans. on Signal Processing, 1991, 39 (5): 1208- 1210. doi: 10.1109/78.80975
9	董玫, 张守宏, 吴向东, 等. 一种改进的空间平滑算法[J]. 电子与信息学报, 2008, 30 (4): 859- 862.
	DONG M , ZHANG S H , WU X D , et al. A improved spatial smoothing technique[J]. Journal of Electronics & Information Technology, 2008, 30 (4): 859- 862.
10	WAX M , SHEINVALD J . Direction finding of coherent signals via spatial smoothing for uniform circular arrays[J]. IEEE Trans. on Antenna and Propagation, 1994, 42 (5): 613- 619. doi: 10.1109/8.299559
11	LIU Z M , HUANG Z T , ZHOU Y Y . An efficient maximum likelihood method for direction-of-arrival estimation via sparse bayesian learning[J]. IEEE Trans. on Wireless Communications, 2012, 11 (10): 3607- 3617.
12	YANG Z , XIE L H , ZHANG C S . Off-grid direction of arrival estimation using sparse bayesian inference[J]. IEEE Trans. on Signal Processing, 2013, 61 (1): 38- 43. doi: 10.1109/TSP.2012.2222378
13	WIPF D P , RAO B D . An empirical bayesian strategy for solving the simultaneous sparse approximation problem[J]. IEEE Trans. on Signal Processing, 2007, 55 (7): 3704- 3716. doi: 10.1109/TSP.2007.894265
14	HYDER M M , MAHATA K . Direction-of-arrival estimation using a mixed l_{2, 0} norm approximation[J]. IEEE Trans. on Signal Processing, 2010, 58 (9): 4646- 4655. doi: 10.1109/TSP.2010.2050477
15	虞飞, 陶建武, 陈诚, 等. 基于稀疏协方差矩阵迭代的单快拍气流速度估计算法[J]. 电子与信息学报, 2015, 37 (3): 574- 579.
	YU F , TAO J W , CHEN C , et al. Single snapshot airspeed estimation based on sparse covariance matrix iteration[J]. Journal of Electronics & Information Technology, 2015, 37 (3): 574- 579.
16	孙超. 水下多传感器阵列信号处理[M]. 西安: 西北工业大学出版社, 2007.
	SUN C . Underwater multi-sensor array signal processing[M]. Xi'an: Northwestern Polytechnical University Press, 2007.
17	闫锋刚, 沈毅, 刘帅, 等. 高效超分辨波达方向估计算法研究[J]. 系统工程与电子技术, 2015, 37 (7): 1465- 1475.
	YAN F G , SHEN Y , LIU S , et al. Overview of efficient algorithm for super-resolution DOA estimates[J]. Systems Engineering and Electronics, 2015, 37 (7): 1465- 1475.
18	MALIOUTOV D , CETIN M , WILLSKY A S . A sparse signal reconstruction perspective for source localization with sensor arrays[J]. IEEE Trans. on Signal Processing, 2005, 53 (8): 3010- 3022. doi: 10.1109/TSP.2005.850882
19	YARDIBI T , LI J , STOICA P. , et al. Source localization and sensing: a nonparametric iterative adaptive approach based on weighted least squares[J]. IEEE Trans. on Aerospace and Electronic Systems, 2010, 46 (1): 425- 443. doi: 10.1109/TAES.2010.5417172
20	STOICA P , MOSES R L . Spectral analysis of signals[M]. New Jersey: Prentice-Hall, 2005.

[1]	Hongping ZHOU, Minghui MA, Ruowu WU, Xiong XU, Zhongyi GUO. Deception jamming recognition of radar based on sparse representation classification [J]. Systems Engineering and Electronics, 2022, 44(9): 2791-2799.
[2]	Shanxue CHEN, Xinxin WANG. Joint sparse representation hyperspectral image classification based on spatial preprocessing [J]. Systems Engineering and Electronics, 2021, 43(9): 2422-2429.
[3]	Zixuan LONG, Qi ZHOU, Xiafu PENG, Xiaoli ZHANG. Maximum correntropy Kalman filter used for hull deformation measurement in non-Gaussian environment [J]. Systems Engineering and Electronics, 2021, 43(11): 3278-3287.
[4]	Guisheng WANG, Guoce HUANG, Yequn WANG, Shufu DONG, Qinghua REN, Shuai WEI. Anti-interference method with intelligence for transform domain communication based on cognitive-engine [J]. Systems Engineering and Electronics, 2021, 43(1): 223-231.
[5]	Donghua HUANG, Yongsheng ZHAO, Yongjun ZHAO. Target localization algorithm from DOA-TDOA measurements in passive radar with transmitter and receiver position errors [J]. Systems Engineering and Electronics, 2020, 42(9): 1961-1968.
[6]	Xiaoqiang LI, Jianfeng CHEN, Weijie TAN, Yang WEN, Rongrong ZHANG. Gridless DOA estimation method for monostatic MIMO array based on covariance matrix reconstruction [J]. Systems Engineering and Electronics, 2020, 42(5): 969-977.
[7]	Juan SHI, Qunfei ZHANG, Linlin MAO, Wentao SHI. Wideband DOA estimation with deficient snapshots via joint sub-band atomic norm minimization [J]. Systems Engineering and Electronics, 2020, 42(4): 733-739.
[8]	Shanxue CHEN, Wenwen CHEN. Joint sparse representation of hyperspectral image classification based on secondary dictionary [J]. Systems Engineering and Electronics, 2020, 42(3): 550-556.
[9]	Hui ZHAO, Lufa FANG, Tianqi ZHANG, Zhiwei LI, Xianming XU. Image compressive sensing reconstruction via group sparse representation and weighted total variation [J]. Systems Engineering and Electronics, 2020, 42(10): 2172-2180.
[10]	TAN Weijie, FENG Xi’an. Sparsity-based two dimensional direction-finding method for parallel co-prime arrays [J]. Systems Engineering and Electronics, 2019, 41(5): 937-943.
[11]	ZONG Jingjing, QIU Tianshuang. Characteristic analysis for the l-1 norm of sparse coefficients in sparse representation [J]. Systems Engineering and Electronics, 2019, 41(12): 2692-2696.
[12]	CHEN Chen, WEI Zhonghao, XU Zhilin, ZHANG Bingchen. High-precision wide angle SAR imaging method based on sparse representation of Gaussian dictionary atoms [J]. Systems Engineering and Electronics, 2019, 41(11): 2471-2478.
[13]	YAN Fenggang, RONG Jiajia, LIU Shuai, SHEN Yi, JIN Ming. Joint cross covariance matrix based fast direction of arrival estimation [J]. Systems Engineering and Electronics, 2018, 40(4): 733-738.
[14]	CHEN Shanxue, ZHOU Yanfa, QI Ruolan. Joint sparse representation of hyperspectral image classification based on kernel function [J]. Systems Engineering and Electronics, 2018, 40(3): 692-698.
[15]	XU Zhigang, LI Wenwen, YUAN Feixiang, ZHU Honglei, XU Yamei. Super-resolution reconstruction based on sparse representation and multicomponent dictionaries learning [J]. Systems Engineering and Electronics, 2018, 40(3): 699-703.

Hyperparameter-free sparse signal direction-of-arrival estimation method with single-snapshot

RichHTML

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

Figures/Tables 3

References 20

Related Articles 15

Recommended Articles

Metrics

Comments