A journal of IEEE and CAA , publishes high-quality papers in English on original theoretical/experimental research and development in all areas of automation
Volume 5 Issue 4
Jul.  2018

IEEE/CAA Journal of Automatica Sinica

  • JCR Impact Factor: 6.171, Top 11% (SCI Q1)
    CiteScore: 11.2, Top 5% (Q1)
    Google Scholar h5-index: 51, TOP 8
Turn off MathJax
Article Contents
Sen Li, Rongxi He, Bin Lin and Fei Su, "DOA Estimation Based on Sparse Representation of the Fractional Lower Order Statistics in Impulsive Noise," IEEE/CAA J. Autom. Sinica, vol. 5, no. 4, pp. 860-868, July 2018. doi: 10.1109/JAS.2016.7510187
Citation: Sen Li, Rongxi He, Bin Lin and Fei Su, "DOA Estimation Based on Sparse Representation of the Fractional Lower Order Statistics in Impulsive Noise," IEEE/CAA J. Autom. Sinica, vol. 5, no. 4, pp. 860-868, July 2018. doi: 10.1109/JAS.2016.7510187

DOA Estimation Based on Sparse Representation of the Fractional Lower Order Statistics in Impulsive Noise

doi: 10.1109/JAS.2016.7510187
Funds:

the National Natural Science Foundation of China 61301228

the National Natural Science Foundation of China 61371091

the Fundamental Research Funds for the Central Universities 3132014212

More Information
  • This paper is mainly to deal with the problem of direction of arrival (DOA) estimations of multiple narrow-band sources impinging on a uniform linear array under impulsive noise environments. By modeling the impulsive noise as fistable distribution, new methods which combine the sparse signal representation technique and fractional lower order statistics theory are proposed. In the new algorithms, the fractional lower order statistics vectors of the array output signal are sparsely represented on an overcomplete basis and the DOAs can be effectively estimated by searching the sparsest coefficients. To enhance the robustness performance of the proposed algorithms, the improved algorithms are advanced by eliminating the fractional lower order statistics of the noise from the fractional lower order statistics vector of the array output through a linear transformation. Simulation results have shown the effectiveness of the proposed methods for a wide range of highly impulsive environments.

     

  • loading
  • [1]
    H. C. So, "Source localization: algorithms and analysis, " in Handbook of Position Location: Theory, Practice, and Advances, S. A. Zekavat and R. M. Buehrer, Eds. New York, NY, USA: Wiley-IEEE Press, 2011. doi: 10.1002/9781118104750.ch2/pdf
    [2]
    H. Krim and M. Viberg, "Two decades of array signal processing research: the parametric approach, " IEEE Signal Process. Mag., vol. 13, no. 4, pp. 67-94, Jul. 1996. http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=526899
    [3]
    J. J. Fuchs, "On the use of the global matched filter for DOA estimation in the presence of correlated waveforms, " in Proc. of the 42nd Asilomar Conf. on Signals, Systems and Computers, Pacific Grove, CA, USA, 2008, pp. 269-273. http://ieeexplore.ieee.org/document/5074406/
    [4]
    J. J. Fuchs, "Identification of real sinusoids in noise, the global matched filter approach, " in Proc. of the 15th IFCA Symp. System Identification, Saint-Malo, France, 2009, pp. 1127-1132. doi: 10.3182/20090706-3-FR-2004.00187
    [5]
    D. Malioutov, M. Cetin, and A. S. Willsky, "A sparse signal reconstruction perspective for source localization with sensor arrays, " IEEE Trans. Signal Process., vol. 53, no. 8, pp. 3010-3022, Aug. 2005. https://academic.oup.com/bioinformatics
    [6]
    X. Xu, X. Wei, and Z. Ye, "DOA estimation based on sparse signal recovery utilizing weighted l1-norm penalty, " IEEE Signal Process. Lett., vol. 19, no. 3, pp. 155-158, Mar. 2012. http://ieeexplore.ieee.org/document/6129390/
    [7]
    N. Hu, Z. F. Ye, D. Y. Xu, and S. H. Cao, "A sparse recovery algorithm for DOA estimation using weighted subspace fitting, " Signal Process., vol. 92, no. 10, pp. 2566-2570, Oct. 2012. http://www.sciencedirect.com/science/article/pii/S0165168412001119
    [8]
    X. H. Wei, Y. B. Yuan, and Q. Ling, "DOA estimation using a greedy block coordinate descent algorithm, " IEEE Trans. Signal Process., vol. 60, no. 12, pp. 6382-6394, Dec. 2012. http://dl.acm.org/citation.cfm?id=2710152.2710644&coll=DL&dl=GUIDE
    [9]
    M. M. Hyder and K. Mahata, "Direction of arrival estimation using a mixed l2, 0 norm approximation, " IEEE Trans. Signal Process., vol. 58, no. 9, pp. 4646-4655. http://ieeexplore.ieee.org/document/5466152/
    [10]
    P. Stoica, P. Babu, and J. Li, "SPICE: a sparse covariance-based estimation method for array processing, " IEEE Trans. Signal Process., vol. 59, no. 12, pp. 629-638, Feb. 2011. http://www.ams.org/mathscinet-getitem?mr=2790596
    [11]
    J. H. Yin and T. Q. Chen, "Direction-of-arrival estimation using a sparse representation of array covariance vectors, " IEEE Trans. Signal Process., vol. 59, no. 92, pp. 4489-4493, Sep. 2011. http://dl.acm.org/citation.cfm?id=2333345
    [12]
    Z. Q. He, Q. H. Liu, L. N. Jin, and S. Ouyang, "Low complexity method for DOA estimation using array covariance matrix sparse representation, " Electron. Lett., vol. 49, no. 3, pp. 228-230, Jan. 2013. http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=6457588
    [13]
    Z. Q. He, Z. P. Shi, and L. Huang, "Covariance sparsity-aware DOA estimation for nonuniform noise, " Digital Signal Process., vol. 28, pp. 75-81, May 2014. http://www.sciencedirect.com/science/article/pii/S1051200414000505
    [14]
    Y. Tian, X. Y. Sun, and S. S. Zhao, "DOA and power estimation using a sparse representation of second order statistics vector and l0-norm approximation, " Signal Process., vol. 105, pp. 98-108, Dec. 2014. http://www.sciencedirect.com/science/article/pii/S0165168414002321
    [15]
    Y. Tian, X. Y. Sun, and S. S. Zhao, "Sparse-reconstruction-based direction of arrival, polarisation and power estimation using a cross-dipole array, " IET Radar, Sonar Navig., vol. 9, no. 6, pp. 727-731, Jun. 2015. http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=7127163
    [16]
    Z. H. Sha, Z. M. Liu, Z. T. Huang, and Y. Y. Zhou, "Covariance-based direction-of-arrival estimation of wideband coherent chirp signals via sparse representation, " Sensors, vol. 13, no. 9, pp. 11490-11497, Aug. 2013. http://pubmedcentralcanada.ca/pmcc/articles/PMC3821291/
    [17]
    A. Mahmood, M. Chitre, and M. A. Armand, "PSK communication with passband additive symmetric α-stable noise, " IEEE Trans. Commun., vol. 60, no. 10, pp. 2990-3000, Oct. 2012. http://ieeexplore.ieee.org/document/6253211/
    [18]
    C. L. Nikias and M. Shoa, Signal Processing with Alpha-Stable Distributions and Applications. New York, NY, USA: Wiely, 1995.
    [19]
    T. H. Liu and J. M. Mendel, "A subspace-based direction finding algorithm using fractional lower order statistics, " IEEE Trans. Signal Process., vol. 49, no. 8, pp. 1605-1613, Aug. 2001. http://ieeexplore.ieee.org/xpls/icp.jsp?arnumber=934131
    [20]
    H. Belkacemi and S. Marcos, "Robust subspace-based algorithms for joint angle/Doppler estimation in non-Gaussian clutter, " Signal Process., vol. 87, no. 7, pp. 1547-1558, Jul. 2007. http://dl.acm.org/citation.cfm?id=1233044
    [21]
    G. Tzagkarakis, P. Tsakalides, and J. L. Starck, "Covariation-based subspace-augmented MUSIC for joint sparse support recovery in impulsive environments, " Signal Process., vol. 93, no. 5, pp. 1365-1373, May 2013. http://www.sciencedirect.com/science/article/pii/S0165168412004161
    [22]
    W. K. Ma, T. H. Hsieh, and C. Y. Chi, "DOA estimation of quasi-stationary signals with less sensors than sources and unknown spatial noise covariance: a Khatri-Rao subspace approach, " IEEE Trans. Signal Process., vol. 58, no. 4, pp. 2168-2180, Apr. 2010. http://ieeexplore.ieee.org/document/5290056/
    [23]
    B. Ottersten, P. Stoica, and R. Roy, "Covariance matching estimation techniques for array signal processing applications, " Digit. Signal Process., vol. 8, no. 3, pp. 185-210. http://kth.diva-portal.org/smash/record.jsf?pid=diva2:501168
    [24]
    M. Grant, S. Boyd, and Y. Ye, CVX: MATLAB Software for Disciplined Convex Programming. CVX Research, Inc., 2008.

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

    Figures(15)

    Article Metrics

    Article views (1027) PDF downloads(40) Cited by()

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return