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Joint estimation of DOA and polarization based on phase difference analysis of electromagnetic vector sensor array

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Abstract

The spatially separated electromagnetic vector sensor array (SS-EVSA) has been widely used in passive radar direction-finding systems. However, when the directional angles of array elements are different, this changes law of the phase difference between the array elements. In this paper, an explicit theoretical analysis of the characteristics of the phase difference between any two array elements in SS-EVSA is conducted. Theoretical formulas describing the phase difference between array elements are derived from the phase descriptor and the geometric descriptor. Based on the characteristics of the phase difference, a new half-interval search MUSIC(HIS-MUSIC) algorithm is proposed. By searching half of the four-dimensional space, a joint estimation of the direction of arrival and polarization of the incident signal is obtained, which can effectively reduce the computational complexity of the joint estimation of the four-dimensional space. Finally, the efficiency of the algorithm is demonstrated by simulation experiments.

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References

  • Boizard, M., Ginolhac, G., Pascal, F., et al. (2013). Numerical performance of a tensor music algorithm based on HOSVD for a mixture of polarized sources. In 2013 Proceedings of the 21st European Signal Processing Conference (EUSIPCO) (pp. 1–5).

  • Cheng, Q., & Hua, Y. (1994). Performance analysis of the MUSIC and pencil-MUSIC algorithms for diversely polarized array. IEEE Transactions on Signal Processing, 42(11), 3150–3165.

    Article  Google Scholar 

  • Chiu, C. Y., Yan, J. B., Murch, R. D., et al. (2009). Design and implementation of a compact 6-port antenna. Antennas and Wireless Propagation Letters, 8, 767–770.

    Article  Google Scholar 

  • Guo, W., Yang, M., Chen, B., et al. (2012). Joint DOA and polarization estimation using MUSIC method in polarimetric MIMO radar. In IET International Conference on Radar Systems (Radar 2012) (pp. 1–4).

  • Guo, X., Wan, Q., Chang, C., & Lam, E. Y. (2010). Source localization using a sparse representation framework to achieve superresolution. Multidimensional Systems and Signal Processing, 21(4), 391–402.

    Article  MathSciNet  MATH  Google Scholar 

  • Han, K., & Nehorai, A. (2014). Nested vector-sensor array processing via tensor modeling. IEEE Transactions on Signal Processing, 62(10), 2542–2553.

    Article  MathSciNet  Google Scholar 

  • Hua, Y. (1993). A pencil-MUSIC algorithm for finding two-dimensional angles and polarizations using crossed dipoles. IEEE Transactions on Antennas and Propagation, 41(3), 370–376.

    Article  Google Scholar 

  • Hurtado, M., & Nehorai, A. (2007). Performance analysis of passive low-grazing-angle source localization in maritime environments using vector sensors. IEEE Transactions on Aerospace and Electronic Systems, 43(2), 780–789.

    Article  Google Scholar 

  • Kolda, T. G., & Bader, B. W. (2009). Tensor decompositions and applications. SIAM Review, 51(3), 455–500.

    Article  MathSciNet  MATH  Google Scholar 

  • Li, J. (1992). On polarization estimation using a polarization sensitive array. IEEE Sixth SP Workshop on Statistical Signal and Array Processing, 1992. Conference Proceedings, 1992, 465–468.

  • Li, J., & Compton, R. T, Jr. (1991). Angle and polarization estimation using ESPRIT with a polarization sensitive array. IEEE Transactions on Antennas and Propagation, 39, 1376–1383.

    Article  Google Scholar 

  • Li, J., & Compton, R. T, Jr. (1991). Angle estimation using a polarization sensitive array. IEEE Transactions on Antennas and Propagation, 39(10), 1539–1543.

    Article  Google Scholar 

  • Li, J., & Compton, R. T, Jr. (1992). Two-dimensional angle and polarization estimation using the ESPRIT algorithm. IEEE Transactions on Antennas and Propagation, 40(5), 550–555.

    Article  Google Scholar 

  • Miron, S., Guo, X., Brie, D. (2008). DOA estimation for polarized sources on a vector-sensor array by PARAFAC decomposition of the fourth-order covariance tensor. In 16th European. IEEE Signal (pp. 1–5).

  • Miron, S., Le Bihan, N., & Mars, J. I. (2005). Vector-sensor MUSIC for polarized seismic sources localization. EURASIP Journal on Applied Signal Processing, 2005, 74–84.

    MATH  Google Scholar 

  • Monte, L. L., Elnour, B., & Erricolo, D. (2007) Distributed 6D vector antennas design for direction of arrival applications. In International Conference on Electromagnetics in Advanced Applications (pp. 431–434).

  • Monte, L. L., Elnour, B., Erricolo, D., et al. (2007). Design and realization of a distributed vector sensor for polarization diversity applications. In Waveform Diversity and Design Conference, 2007. International. IEEE (pp. 358–361).

  • Monte, L. L., Elnour, B., Rajagopalan, A., et al. (2007). Circularly and linearly distributed narrowband vector antennas for direction of arrival applications. In North American Radio Science Conference, Ottawa, Ontario, Canada (pp. 22–26).

  • Muti, D., & Bourennane, S. (2005). Multidimensional filtering based on a tensor approach. Signal Processing, 85(12), 2338–2353.

    Article  MATH  Google Scholar 

  • Roy, R., & Kailath, T. (1989). ESPRIT-estimation of signal parameters via rotational invariance techniques. IEEE Transactions on Acoustics, Speech and Signal Processing, 37(7), 984–995.

    Article  MATH  Google Scholar 

  • Schmidt, R. O. (1986). Multiple emitter location and signal parameter estimation. IEEE Transactions on Antennas and Propagation, 34(3), 276–280.

    Article  Google Scholar 

  • See, C. M. S., & Nehorai, A. (2003). Source localization with distributed electromagnetic component sensor array processing. In ISSPA (1) (pp. 177–180).

  • Singh, H., Sneha, H. L., & Jha, R. M. (2013). Mutual coupling in phased arrays: A review. International Journal of Antennas and Propagation. doi:10.1155/2013/348123.

  • Song, Y., Yuan, X., & Wong, K. T. (2014). Corrections to “Vector Cross-Product Direction-Finding’ With an Electromagnetic Vector-Sensor of Six Orthogonally Oriented But Spatially Noncollocating Dipoles/Loops. IEEE Transaction on Signal Processing, 62(4), 1028–1030.

    Article  Google Scholar 

  • Wong, K. T., & Zoltowski, M. D. (1997). Polarization-beamspace self-initiating MUSIC for azimuth/elevation angle estimation. In Radar 97 (Conference Publication No. 449). IET (pp. 328–333).

  • Wong, K. T., & Zoltowski, M. D. (1998). Closed-form direction-finding with arbitrarily spaced electromagnetic vector-sensors at unknown locations. In Acoustics, Speech, and Signal Processing, 1988. ICASSP-88, 1988 International Conference on, 4 (pp. 1949–1952).

  • Wong, K. T. (2001). Direction finding/polarization Estimation—Dipole and/or. IEEE Transactions on Aerospace and Electronic Systems, 37(2), 679.

    Article  Google Scholar 

  • Wong, K. T., Li, L., & Zoltowski, M. D. (2004). Root-music-based direction-finding and polarization estimation using diversely polarized possibly collocated antennas. Antennas and Wireless Propagation Letters IEEE, 3(1), 129–132.

    Article  Google Scholar 

  • Wong, K. T., & Yuan, X. (2011). “Vector cross-product direction-finding” with an electromagnetic vector-sensor of six orthogonally oriented but spatially noncollocating dipoles/loops. IEEE Transactions on Signal Processing, 59(1), 160–171.

    Article  MathSciNet  Google Scholar 

  • Wong, K. T., & Zoltowski, M. D. (2000). Self-initiating music-based direction finding and polarization estimation in spatio-polarizational beamspace. IEEE Transactions on Antennas and Propagation, 48(8), 1235–1245.

    Article  Google Scholar 

  • Xu, Y., & Liu, Z. (2007). Closed-form multiple invariance ESPRIT. Multidimensional Systems and Signal Processing, 18(1), 47–54.

    Article  MATH  Google Scholar 

  • Yamada, H., Yoshino, M., & Yamaguchi, Y. (1998). Resolution enhancement of the MUSIC algorithm with wave polarization. In International Workshop on Radar Polarimetry (pp. 87–95).

  • Yuan, X., Wong, K. T., & Agrawal, K. (2012). Polarization estimation with a dipole-dipole pair, a dipole-loop pair, or a loop-loop pair of various orientations. Antennas and Propagation, IEEE Transactions on, 60(5), 2442–2452.

    Article  MathSciNet  MATH  Google Scholar 

  • Zhang, X., Chen, C., Li, J., & Xu, D. (2014). Blind DOA and polarization estimation for polarization-sensitive array using dimension reduction music. Multidimensional Systems and Signal Processing, 25(1), 67–82.

    Article  MATH  Google Scholar 

  • Zheng, G., Wu, B., Ma, Y., et al. (2014). Direction of arrival estimation with a sparse uniform array of orthogonally oriented and spatially separated dipole-triads. IET Radar, Sonar & Navigation, 8(8), 885–894.

    Article  Google Scholar 

  • Zoltowski, M. D., & Wong, K. T. (2000). ESPRIT-based 2-D direction finding with a sparse uniform array of electromagnetic vector sensors. IEEE Transactions on Signal Processing, 48(8), 2195–2204.

    Article  Google Scholar 

  • Zoltowski, M. D., & Wong, K. T. (2000). Closed-form eigenstructure-based direction finding using arbitrary but identical subarrays on a sparse uniform Cartesian array grid. IEEE Transactions on Signal Processing, 48(8), 2205–2210.

    Article  Google Scholar 

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Correspondence to Zhiyu Qu.

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Wu, N., Qu, Z., Si, W. et al. Joint estimation of DOA and polarization based on phase difference analysis of electromagnetic vector sensor array. Multidim Syst Sign Process 29, 597–620 (2018). https://doi.org/10.1007/s11045-016-0434-z

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  • DOI: https://doi.org/10.1007/s11045-016-0434-z

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