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2D DOA and Frequency Estimation Method with One Vector-Sensor and Two Pressure Sensors Based on ESPRIT and Signal Power

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Abstract

We use one vector and two pressure sensors to form a sparse large aperture L-shape array for high performance two-dimensional (2D) direction of arrival (DOA) and frequency estimation. Because the number of sensors is small and there is only one vector sensor in the presented array, thus, the installation of sensors in the array is simpler and installation error is smaller, than the conventional array. Meanwhile, a high performance 2D DOA and frequency estimation method is presented. Firstly, utilizing single vector sensor and based on the ESPRIT, a group coarse 2D DOA and frequency parameters are obtained. Secondly, to restrain space noise or interference, a matrix filter is utilized to process the covariance matrix which comes from sensor array, so as to form a new covariance matrix which possesses high signal to noise ratio. Thirdly, utilizing the new covariance matrix and based on the ESPRIT again, accurate but ambiguity angles estimates are obtained. Fourthly, one signal power estimator and one optimization method are presented to solve the angle ambiguity and frequency ambiguity problems, respectively. The proposed method gains a high performance 2D DOA and frequency estimation results. Numerical simulations are performed to verify the feasibility of the proposed method.

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References

  1. Lu, S., Sun, J., Wang, G., et al. (2012). A mixing vector based an affine combination of two adaptive filters for sensor array beamforming. Progress in Electromagnetics Research, 122, 361–387.

    Article  Google Scholar 

  2. Zhang, X., & Xu, D. (2008). Deterministic blind beamforming for electromagnetic vector sensor array. Progress in Electromagnetics Research, 84, 363–377.

    Article  Google Scholar 

  3. Nehorai, A., & Paldi, E. (1994). Acoustic vector-sensor array processing. IEEE Transactions on Signal Processing, 42(9), 2481–2491.

    Article  Google Scholar 

  4. Hochwald, B., & Nehorai, A. (1996). Identifiability in array processing models with vector-sensor applications. IEEE Transactions on Signal Processing, 44(1), 83–95.

    Article  MATH  Google Scholar 

  5. Tichavský, P., Wong, K. T., & Zoltowski, M. D. (2001). Near-field/far-field azimuth and elevation angle estimation using a single vector hydrophone. IEEE Transactions on Signal Processing, 49(11), 2498–2510.

    Article  Google Scholar 

  6. Xu, Y., & Liu, Z. (2007). Frequency-azimuth-elevation determination with a single acoustic vector-sensor involved in a reflecting boundary. Circuits, Systems & Signal Processing, 26(6), 875–895.

    Article  MATH  Google Scholar 

  7. Xu, Y., Liu, Z., & Cao, J. (2007). Perturbation analysis of conjugate MI-ESPRIT for single acoustic vector-sensor-based noncircular signal direction finding. Signal Processing, 87(7), 1597–1612.

    Article  MATH  Google Scholar 

  8. Junwei, C. H. Z. (2004). Two-dimensional direction finding for low altitude target based on intensity measurement using an acoustic vector-sensor. Chinese Journal of Acoustics, 23(3), 278–288.

    Google Scholar 

  9. Xiaofei, Z., Ming, Z., Han, C., et al. (2014). Two-dimensional DOA estimation for acoustic vector-sensor array using a successive MUSIC. Multidimensional Systems and Signal Processing, 25(3), 583–600.

    Article  MathSciNet  MATH  Google Scholar 

  10. Le Bihan, N., Miron, S., & Mars, J. (2007). MUSIC algorithm for vector-sensors array using biquaternions. IEEE Transactions on Signal Processing, 55(9), 4523–4533.

    Article  MathSciNet  Google Scholar 

  11. Yang, L., & Ho, K. C. (2010). Alleviating sensor position error in source localization using calibration emitters at inaccurate locations. IEEE Transactions on Signal Processing, 58(1), 67–83.

    Article  MathSciNet  Google Scholar 

  12. Ma, Z., & Ho, K. C. (2014). A study on the effects of sensor position error and the placement of calibration emitter for source localization. IEEE Transactions on Wireless Communications, 13(10), 5440–5452.

    Article  Google Scholar 

  13. Chen, H., Bao, Y., & Ser, W. (2015). Effects of sensor position errors on far-field/near-field wideband beamformers for microphone arrays. IEEE Sensor Journal, 15(9), 4812–4825.

    Article  Google Scholar 

  14. 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 

  15. Boyd, S. P., & Vandenberghe, L. (2004). Convex optimization. Cambridge: Cambridge University Press.

    Book  MATH  Google Scholar 

  16. Rao, S. S. (1984). Optimization: Theory and applications. London: Wiley.

    MATH  Google Scholar 

  17. Wang, Y., Zhou, J., & Kikuchi, H. (2016). Performance of a three-dimensional antenna array and its application in DOA estimation. Wireless Personal Communications, 89(2), 521–537.

    Article  Google Scholar 

  18. Wang, L., Yang, L., Wang, G., et al. (2015). DOA and polarization estimation based on sparse COLD array. Wireless Personal Communications, 85(4), 2447–2462.

    Article  Google Scholar 

  19. Wen, F. Q., & Zhang, G. (2015). Multi-way compressive sensing based 2D DOA estimation algorithm for monostatic MIMO Radar with arbitrary arrays. Wireless Personal Communications, 85(4), 2393–2406.

    Article  Google Scholar 

  20. Zhou, M., & Zhang, X. (2015). Joint estimation of angle and polarization for bistatic MIMO radar with polarization sensitive array using dimension reduction MUSIC. Wireless Personal Communications, 81(3), 1333–1345.

    Article  Google Scholar 

  21. Cao, R., Wang, C., & Zhang, X. (2015). Two-dimensional direction of arrival estimation using generalized ESPRIT algorithm with non-uniform L-shaped array. Wireless Personal Communications, 84(1), 321–339.

    Article  Google Scholar 

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Acknowledgements

This work was supported in part by the National Natural Science Foundations of China under Grant Nos. 61501319, 61505140, 51275349 and 51575387, in part by the National Marine economy innovation development area demonstration Project No. cxsf2014-2.

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Correspondence to Jia-jia Jiang.

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Jiang, Jj., Duan, Fj. & Wang, Xq. 2D DOA and Frequency Estimation Method with One Vector-Sensor and Two Pressure Sensors Based on ESPRIT and Signal Power. Wireless Pers Commun 97, 5385–5399 (2017). https://doi.org/10.1007/s11277-017-4785-z

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