Advanced Search
Volume 40 Issue 7
Jul.  2018
Turn off MathJax
Article Contents
FENG Mingyue, HE Minghao, CHEN Changxiao, HAN Jun. DOA Estimation for Co-prime Array Based on Fast Sparse Bayesian Learning Using Bessel Priors[J]. Journal of Electronics & Information Technology, 2018, 40(7): 1604-1611. doi: 10.11999/JEIT170951
Citation: FENG Mingyue, HE Minghao, CHEN Changxiao, HAN Jun. DOA Estimation for Co-prime Array Based on Fast Sparse Bayesian Learning Using Bessel Priors[J]. Journal of Electronics & Information Technology, 2018, 40(7): 1604-1611. doi: 10.11999/JEIT170951

DOA Estimation for Co-prime Array Based on Fast Sparse Bayesian Learning Using Bessel Priors

doi: 10.11999/JEIT170951
Funds:

The National Natural Science Foundation of China (61703430), The Natural Science Foundation of Hubei Province (2016CFB288)

  • Received Date: 2017-10-16
  • Rev Recd Date: 2018-01-16
  • Publish Date: 2018-07-19
  • In order to improve DOA estimation accuracy of co-prime array while the number of snapshots is small, a novel fast Sparse Bayesian Learning (SBL) algorithm using Bessel priors is proposed. Focusing on the multi-snapshots complex output data of coprime array, a multiple measurement vectors hierarchical model based on Bessel priors is firstly built. Then the log-likelihood function of model hyperparameters is derived, and the iterative formulas of hyperparameters are derived based on the criterion of maximum likelihood estimation. Finally, a fast implementation scheme is developed in order to improve the computation efficiency. Simulation experiments show that the proposed algorithm is independent on prior information. Under the condition of small number of snapshots, higher DOA estimation accuracy and resolution of uncorrelated and correlated signals can be achieved with proper computational efficiency. Further more, the necessity between virtual array extension and DOA estimation freedom of co-prime array is explored, which provides reference to DOA estimation for co-prime array under array perturbation conditions.
  • loading
  • [2] DAI Jisheng, BAO Xu, XU Weichao, et al. Root sparse Bayesian learning for off-grid DOA estimation[J]. IEEE Signal Processing Letters, 2017, 24(1): 46-50. doi: 10.1109/ LSP.2016.2636319.
    WANG Biao, ZHU Zhihui, and DAI Yuewei. On fast estimation of direction of arrival for underwater acoustic target based on sparse Bayesian learning[J]. Chinese Journal of Acoustics, 2017, 36(1): 102-112. doi: 10.15949/j.cnki.0217- 9776.2017.01.008.
    [3] VAIDYANATHAN P P and PAL Piya. 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.
    [4] LIU Jianyan, ZHANG Yanmei, LU Yilong, et al. Augmented nested arrays with enhanced DOF and reduced mutual coupling[J]. IEEE Transactions on Signal Processing, 2017, 65(21): 5549-5563. doi: 10.1109/TSP.2017.2736493.
    [5] BOUDAHER E, AHMAD F, AMIN M G, et al. Mutual coupling effect and compensation in non-uniform arrays for direction-of-arrival estimation[J]. Digital Signal Processing, 2017, 61(2): 3-14. doi: 10.1016/j.dsp2016.06.005.
    [6] KOOCHAKZADEH Ali and PAL Piya. Sparse source localization using perturbed arrays via bi-affine modeling[J]. Digital Signal Processing, 2017, 61(2): 15-25. doi: 10.1016/ j.dsp.2016.06.004.
    [7] HAWES Matthew, MIHAYLOVA Lyudmila, SEPTIER Francois, et al. Bayesian compressive sensing approaches for direction of arrival estimation with mutual coupling effects[J]. IEEE Transactions on Antennas and Propagation, 2017, 65(3): 1357-1368. doi: 10.1109/TAP.2017.2655013.
    [8] LIU Sheng, YANG Lisheng, CHEN Zhixiang, et al. Low- complexity MUSIC-like algorithm with sparse array[J]. Wireless Personal Communications, 2016, 86(3): 1265-1279. doi: 10.1007/s11277-015-2987-9.
    [9] LIU Chunlin and VAIDYANATHAN P P. Correlation subspaces: Generalizations and connection to difference coarrays[J]. IEEE Transactions on Signal Processing, 2017, 65(19): 5006-5020. doi: 10.1109/TSP.2017.2721915.
    [10] GIRI Ritwik and RAO Bhaskar. Learning distributional parameters for adaptive Bayesian sparse signal recovery[J]. IEEE Computational Intelligence Magazine, 2016, 11(4): 14-23. doi: 10.1109/MCI.2016.2601700.
    [11] TIPPING M E and FAUL A C. Fast marginal likelihood maximisation for sparse Bayesian models[C]. Proceedings of the Ninth International Workshop on Articial Intelligence and Statistics, Key West, FL, 2003: 1-13.
    [12] BABACAN S. Derin, MOLINA Rafael, and KATSAGGELOS A K. Bayesian compressive sensing using Laplace priors[J]. IEEE Transactions on Image Processing, 2010, 19(1): 53-63. doi: 10.1109/TIP.2009.2032894.
    WANG Jun, YAN Fenggang, MA Wenjie, et al. Direction- of-arrival estimation using Laplace prior based on Bayes compressive sensing[J]. Journal of Electonics & Information Technology, 2015, 37(4): 817-823. doi: 10.11999/JEIT 140937.
    [14] GERSTOFT P, MECKLENBRAUKER C F, XENAKI A, et al. Multisnapshot sparse Bayesian learning for DOA[J]. IEEE Signal Processing Letters, 2016, 23(10): 1469-1473. doi: 10.1109/LSP.2016.2598550.
    [15] PEDERSEN N L, MANCH?N C N, BADIU M A, et al. Sparse estimation using Bayesian hierarchical prior modeling for real and complex models[J]. Signal Processing, 2015, 115(41): 94-109. doi: 10.1016/j.sigpro.2015.03.013.
    [16] QIN Si, ZHANG Y D, and AMIN M G. Generalized coprime array configurations for direction-of-arrival estimation[J]. IEEE Transactions on Signal Processing, 2015, 63(6): 1377-1390. doi: 10.1109/TSP.2015.2393838.
    [17] SAHOO S K and MAKUR A. Signal recovery from random measurements via extended orthogonal matching pursuit[J]. IEEE Transactions on Signal Processing, 2015, 63(10): 2572-2582. doi: 10.1109/TSP.2015.2413384.
    [18] CARLIN M, ROCCA P, OLIVERI G, et al. Directions-of- Arrival estimation through Bayesian compressive sensing strategies[J]. IEEE Transactions on Antennas and Propagation, 2013, 61(7): 3828-3838. doi: 10.1109/TAP.2013. 2256093.
    [19] JI Shihao, DUNSON D, and CARIN L. Multitask compressive sensing[J]. IEEE Transations on Signal Processing, 2009, 57(1): 92-106. doi: 10.1109/TSP.2008. 2005866.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (1464) PDF downloads(94) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return