Vol. 83

Front:[PDF file] Back:[PDF file]
Latest Volume
All Volumes
All Issues
2018-04-12

Algebraic Algorithm for Mixed Near-Field and Far-Field Sources Classification and Localization

By Kai Wang, Ling Wang, Zhaolin Zhang, and Jian Xie
Progress In Electromagnetics Research C, Vol. 83, 125-136, 2018
doi:10.2528/PIERC18022705

Abstract

Using uniform linear array (ULA), a passive localization algorithm is presented for mixed far-field (FF) and near-field (NF) signals scenarios. Based on the high-order cumulant (HOC) technique, a special Hermite matrix is constructed by three fourth-order cumulant matrices, which are calculated by dividing the ULA into two sub-arrays. Then, the special matrix of signals is decomposed to obtain the source subspace. According to ESPRIT algorithm, two transformation matrices of all sub-arrays can be obtained. Meanwhile, the two transformation matrixes could be used to calculate the range and angles of arrival (AOA) of NF sources, as well as AOAs of FF sources. Moreover, compared with twostage MUSIC (TSMUSIC) and four-order cumulant MUSIC method, the proposed algorithm has higher accuracy for localisation of both FF and NF sources without any spectral search.

Citation


Kai Wang, Ling Wang, Zhaolin Zhang, and Jian Xie, "Algebraic Algorithm for Mixed Near-Field and Far-Field Sources Classification and Localization," Progress In Electromagnetics Research C, Vol. 83, 125-136, 2018.
doi:10.2528/PIERC18022705
http://jpier.org/PIERC/pier.php?paper=18022705

References


    1. Li, S., W. Liu, D. Zheng, S. Hu, and W. He, "Localization of near-field sources based on sparse signal reconstruction with regularization parameter selection," International Journal of Antennas and Propagation, Vol. 2017, Article ID 1260601, 7 pages, 2017.

    2. Qin, S., Y. D. Zhang, Q. Wu, and M. G. Amin, "Structure-aware Bayesian compressive sensing for near-field source localization based on sensor-angle distributions," International Journal of Antennas and Propagation, Vol. 2015, Article ID 783467, 15 pages, 2015.

    3. Schmidt, R. O., "Multiple emitter location and signal parameter estimation," IEEE Trans. Antennas Propag., Vol. 34, 276-280, Mar. 1986.
    doi:10.1109/TAP.1986.1143830

    4. Weiss, A. J. and B. Friedlander, "Range and bearing estimation using polynomial rooting," IEEE J. Ocean. Eng., Vol. 18, No. 2, 130-137, Apr. 1993.
    doi:10.1109/48.219532

    5. Roy, R. and T. Kailath, "ESPRIT-estimation of signal parameters via rotational invariance techniques," IEEE Trans. Acoust., Speech, Signal Process., Vol. 37, 984-995, Jul. 1989.

    6. Xie, J., H. Tao, X. Rao, and J. Su, "Localization of mixed far-field and near-field sources under unknown mutual coupling," IEEE Trans. Digital Signal Processing, Vol. 50, No. 3, 229-239, 2016.
    doi:10.1016/j.dsp.2015.10.012

    7. Xie, J., H. Tao, X. Rao, and J. Su, "Passive localization of mixed far-field and near-field sources without estimating the number of sources," IEEE Trans. Sensors, Vol. 15, No. 2, 3834-3853, 2015.

    8. Liang, J. and D. Liu, "Passive localization of mixed near-field and far-field sources using two-stage MUSIC algorithm," IEEE Trans. Signal Processing, Vol. 58, 108-120, 2010.
    doi:10.1109/TSP.2009.2029723

    9. Grosicki, E., K. Abed-Meraim, and Y. Hua, "A weighed linear prediction method for near-field source localization," IEEE Trans. Signal Processing, Vol. 53, 3651-3660, Oct. 2005.

    10. Liu, G. and X. Sun, "Two-stage matrix differencing algorithm for mixed far-field and near-field sources classification and localization," Sens. J., Vol. 14, 1957-1965, 2014.

    11. Wu, Y. T., H. Wang, Y. B. Zhang, and Y. Wang, "Multiple near-field source localisation with uniform circular array," IEEE Electron. Lett., Vol. 49, No. 24, 1509-1510, 2013.
    doi:10.1049/el.2013.2012

    12. Xue, B., G. Y. Fang, and Y. C. Ji, "Passive localisation of mixed far-field and near-field sources using uniform circular array," IEEE Electron. Lett., Vol. 52, No. 20, 1690-1692, 2016.
    doi:10.1049/el.2016.2091

    13. Xie, J., H. H. Tao, X. Rao, and J. Su, "Localization of mixed far-field and near-field sources under unknown mutual coupling," IEEE Trans. Digital Signal Processing, Vol. 50, No. 3, 229-239, 2016.
    doi:10.1016/j.dsp.2015.10.012

    14. Yuen, N. and B. Friedlander, "Performance analysis of higher order ESPRIT for localization of near-field sources," IEEE Trans. Signal Processing, Vol. 46, 709-719, Aug. 1998.
    doi:10.1109/78.661337

    15. Challa, R. N. and S. Shamsunder, "High-order subspace based algorithms for passive localization of near-field sources," Proc. 29th Asilomar Conf. Signals, Syst. Comput., Vol. 2, 777-781, Oct. 1995.

    16. Zhang, Y. D., Q. Siam, and M. G. Amin, "Near-field source localization based on sparse reconstruction of sensor-angle distributions," IEEE International Conference on Radar Conference, 891-895, May 2015.

    17. Dogan, M. C. and J. M. Mendel, "Applications of cumulants to array processing --- Part I: Aperture extension and array calibration," IEEE Trans. Signal Processing, Vol. 43, 1200-1216, May 1995.
    doi:10.1109/78.382404

    18. Porat, B. and B. Friedlander, "Direction finding algorithms based on high-order statistics," IEEE Trans. Signal Processing, Vol. 39, 2016-2024, Sep. 1999.

    19. Chevalier, P. and A. Ferreol, "On the virtual array concept for the fourth-order direction finding problem," IEEE Trans. Signal Processing, Vol. 47, 2592-2595, May 1999.
    doi:10.1109/78.782217

    20. Roy, R. and T. Kailath, "ESPRIT-estimation of signal parameters via rotational invariance techniques," IEEE Trans. ASSP, Vol. 37, 984-995, Jul. 1989.

    21. Yildirim, A., A. Gokdogan, and M. Merdan, "Numerical approximations to the solution of ray tracing through the crystalline lens," Chinese Physics Letters, Vol. 29, No. 7, Article Number: 074202, Jul. 2012.

    22. Vazquez-Leal, H., U. Filobello-Nino, and A. Yildirim, "Transient and DC approximate expressions for diode circuits," IEICE Electronics Express, Vol. 9, No. 6, 522-530, Mar. 2012.
    doi:10.1587/elex.9.522

    23. Yuzbasi, S., N. Sahin, and A. Yildirim, "A collocation approach for solving high-order linear Fredholm-Volterra integro-di®erential equations," Mathematical and Computer Modelling, Vol. 55, No. 3-4, 547-563, Feb. 2012.
    doi:10.1016/j.mcm.2011.08.032