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2011-01-25
Joint Azimuth-Elevation/(-Range) Estimation of Mixed Near-Field and Far-Field Sources Using Two-Stage Separated Steering Vector-Based Algorithm
By
Progress In Electromagnetics Research, Vol. 113, 17-46, 2011
Abstract
Passive source localization has wide applications in array signal processing. In the practical applications, the observations collected by an array may be ``arbitrary"-field signals, i.e., which are either mixed near-field and far-field signals or multiple near-field signals or multiple far-field signals. With a cross array, a two-stage separated steering vector-based algorithm is developed to localize ``arbitrary"-field narrowband sources in the spherical coordinates. The key points of this paper are: i) different physical steering vectors of near-field and far-field sources are transformed into the virtual ones with the same form, thus linearizing the quadratic phases of near-field sources and allowing the same operations for near-field and far-field sources; ii) the virtual steering vector is separated into two parts and restored by introducing a special phase angle, and thus it is used to estimate the azimuth-elevation arrival-angles of ``arbitrary"-field sources; and iii) special Hermitian matrices are constructed using the separated physical steering vector and their eigenvalue decomposition (EVD) are performed, thus the ranges of near-field sources are easily obtained from the eigenvector being corresponding to the smallest eigenvalue. The proposed algorithm can localize ``arbitrary"-field sources without pairing parameters and multidimensional search. Simulation results are provided to validate the performance of the proposed method.
Citation
Junli Liang, Ding Liu, Xianju Zeng, Wenyi Wang, Jiulong Zhang, and Hongyang Chen, "Joint Azimuth-Elevation/(-Range) Estimation of Mixed Near-Field and Far-Field Sources Using Two-Stage Separated Steering Vector-Based Algorithm," Progress In Electromagnetics Research, Vol. 113, 17-46, 2011.
doi:10.2528/PIER10110104
References

1. Krim, H. and M. Viberg, "Two decades of array signal processing research: The parametric approach," IEEE Signal Processing Magazine, Vol. 13, No. 4, 67-94, 1996.
doi:10.1109/79.526899

2. Johnson, R. C., Antenna Engineering Handbook, 3 Ed., 9-12, McGraw-Hill, Inc., 2006.

3. Ziomek, L. J., Fundamentals of Acoustic Field Theory and Space-time Signal Processing, 410-412, 532-534, CRC Press, Bocaraton, FL, 1995.

4. Schmidt, R., "Multiple emitter location and signal parameter estimation," IEEE Trans. Antennas and Propagation, Vol. 34, No. 3, 276-280, 1986.
doi:10.1109/TAP.1986.1143830

5. Roy, R. and T. Kailath, "ESPRIT-estimation of signal parameters via rotational invariance techniques," IEEE Trans. Acoustics, Speech, and Signal Processing, Vol. 37, No. 7, 984-995, 1989.
doi:10.1109/29.32276

6. Liu, T. H. and J. M. Mendel, "Azimuth and elevation direction finding using arbitrary array geometries," IEEE Trans. Signal Processing, Vol. 46, No. 7, 2061-2065, Jul. 1998.

7. Tayem, N. and H. M. Kwon, "L-shape 2-dimensional arrival angle estimation with propagator method," IEEE Trans. Antennas and Propagation, Vol. 53, No. 5, 1622-1630, May 2005.
doi:10.1109/TAP.2005.846804

8. Veen, A., P. Ober, and E. Deprettere, "Azimuth and elevation computation in high resolution DOA estimation," IEEE Trans. Acoust. Speech, Signal Processing, Vol. 40, No. 7, 1828-1832, Jul. 1992.

9. Swindlehurst, A. and T. Kailath, "Azimuth/elevation direction finding using regular array geometries," IEEE Trans. Aerosp. Electron. Syst., Vol. 29, No. 1, 145-156, Jan. 1993.
doi:10.1109/7.249120

10. Kedia, Y. S. and B. Chandna, "A new algorithm for 2-D DOA algorithm," Signal Processing, Vol. 60, No. 3, 325-332, Mar. 1997.
doi:10.1016/S0165-1684(97)00082-0

11. Swindelehurst, A. L. and T. Kailath, "Passive direction-of-arrival and range estimation for near-field sources," Fourth Annual ASSP Workshop on Spectrum Estimation and Modeling, 123-128, Minneapolis, Minnesota, USA, Aug. 1988.

12. Cekli, E. and H. A. Cirpan, "Unconditional maximum likelihood approach for near-field source localization," International Journal of Electronics and Communications, Vol. 57, No. 1, 9-15, 2003.
doi:10.1078/1434-8411-54100135

13. Grosicki, E., K. Abed-Meraim, and Y. Hua, "A weighted linear prediction method for near-field source localization," IEEE Trans. Signal Processing, Vol. 53, No. 10, Part 1, 3651-3660, 2005.

14. Abed-Meraim, K., Y. Hua, and A. Belouchrani, "Second-order near-field source localization: Algorithm and performance analysis," The Thirtieth Asilomar Conference on Signals, Systems & Computers, Vol. 1, 723-727, Pacific Grove, California, USA, Nov. 1997.

15. Gorosicki, E. and K. Abed-Meraim, "A weighted linear prediction method for near-field source localization," Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing, Vol. 3, 2957-2960, May 2002.

16. Huang, Y. D. and M. Barkat, "Near-field multiple source localization by passive sensor array," IEEE Trans. Antennas and Propagation, Vol. 39, No. 7, 968-975, 1991.
doi:10.1109/8.86917

17. Jeffers, R., K. L. Bell, and H. L. van Trees, "Broadband passive range estimation using MUSIC," Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing, Vol. 3, 2921-2924, May 2002.

18. Weiss, A. J. and B. Friedlander, "Range and bearing estimation using polynomial rooting," IEEE Journal of Oceanic Engineering, Vol. 18, No. 4, 130-137, 1993.
doi:10.1109/48.219532

19. Starer, D. and A. Nehorai, "Passive localization of near-field sources by path following," IEEE Trans. Signal Processing, Vol. 42, No. 3, 677-680, 1994.
doi:10.1109/78.277864

20. Challa, R. N. and S. Shamsunder, "High-order subspace based algorithms for passive localization of near-field sources," The Twenty-ninth Asilomar Conference on Signals, Systems & Computers, Vol. 2, 777-781, Pacific Grove, California, USA, Oct. 1995.

21. Yuen, N. and B. Friedlander, "Performance analysis of higher order ESPRIT for localization of near-field sources," IEEE Trans. Signal Processing, Vol. 46, No. 3, 709-719, 1998.
doi:10.1109/78.661337

22. Lee, J. H. and C. H. Tung, "Estimating the bearings of near-field cyclostationary signals," IEEE Trans. Signal Processing, Vol. 50, No. 1, 110-118, Jan. 2002.
doi:10.1109/78.972487

23. Lee, J. H., Y. M. Chen, and C. C. Yeh, "A covariance approximation method for near-field direction finding using a uniform linear array," IEEE Trans. Signal Processing, Vol. 43, No. 5, 1293-1298, May 1995.
doi:10.1109/78.382421

24. Liang, J. and D. Liu, "Passive localization of near-field sources using cumulant," IEEE Sensors Journal, Vol. 9, No. 8, 953-960, Aug. 2009.
doi:10.1109/JSEN.2009.2025580

25. Kabaoglu, N., H. A. Cirpan, E. Cekli, and S. Paker, "Deterministic Maximum likelihood Approach for 3-D near-field source localization," International Journal of Electronics and Communications., Vol. 57, No. 5, 345-350, 2003.
doi:10.1078/1434-8411-54100183

26. Challa, R. N. and S. Shamsunder, "Passive near-field localization of multiple non-Gaussian sources in 3-D using cumulant," Signal Processing, Vol. 65, 39-53, 1998.
doi:10.1016/S0165-1684(97)00206-5

27. Liang, J., S. Yang, J. Zhang, L. Gao, and F. Zhao, "4D near-field source localization using cumulant," EURASIP Journal on Applied Signal Processing, Vol. 2007, 1-10, 2007, Doi:10.1155/2007/17820.

28. Yang, D., J. Shi, and B. Liu, "A new near-field source localization algorithm based on generalized ESPRIT," The 4th IEEE conference on Industrial Electronics and Applications, 1115-1120, Xi'an, China, Jun. 2009.
doi:10.1109/ICIEA.2009.5138375

29. Abed-Meraim, K. and Y. Hua, "3-D near field source localization using second order statistics," The Thirty-first Asilomar Conference on Signals, Systems & Computers, Vol. 2, 1307-1311, Pacific Grove, California, USA, Nov. 1997.

30. Ikram, M. Z., K. Abed-Meraim, and Y. Hua, "Fast quadratic phase transform for estimating the parameters of multicomponent chirp signals," Digital Signal Processing, 127-135, Jul. 1997.

31. Ward, D. B. and G. W. Elko, "Mixed near field/far field beamforming: A new technique for speech acquisition in a reverberant environment," IEEE Workshop on Applications of Signal Processing to Audio and Acoustics, 19-22, New Paltz, NY, 1997.

32. Agrawah, M., R. Abrahamsson, and P. Ahgren, "Optimum beam-forming for a nearfield source in signal correlated interferences," Signal Processing, Vol. 86, No. 5, 915-923, 2006.
doi:10.1016/j.sigpro.2005.07.017

33. Doclo, S. and M. Moonen, "Design of far-field and near-field broadband beamformers using eigenfilters," Signal Processing, Vol. 83, No. 12, 2641-2673, 2003.
doi:10.1016/j.sigpro.2003.07.005

34. Arslan, G., F. A. Sakarya, and B. L. Evans, "Speaker localization for far-field and near-field wideband sources using neural networks," IEEE Workshop on Nonlinear Signal and Image Processing, Vol. 2, 528-532, Antalya, Turkey, 1999.

35. Argentieri, S., P. Danes, and P. Soueres, "Modal analysis based beamforming for nearfield or farfield speaker localization in robotics," Proceedings of the 2006 IEEE International Conference on Robots and Systems, 866-871, 2006.
doi:10.1109/IROS.2006.281739

36. Mukai, R., H. Sawada, S. Araki, and S. Makino, "Frequency-domain blind source separation of many speech signals using near-field and far-field models," EURASIP Journal on Applied Signal Processing, Vol. 2006, 1-13, 2006.

37. Kennedy, R. A., D. B. Ward, P. Thushara, and D. Abhayapala, "Nearfield beamforming using nearfield/farfield reciprocity," Proceedings of the IEEE International Conference on Acoustics Speech, and Signal Processing, Vol. 5, 3741-3744, Munich, 1999.

38. Liang, J., X. Zeng, B. Ji, et al. "A computational efficient algorithm for joint range-DOA-frequency estimation of near-field sources," Digital Signal Processing, Vol. 19, No. 4, 596-611, 2009.
doi:10.1016/j.dsp.2008.06.006

39. Liang, J. and D. Liu, "Passive localization of near-field sources using cumulant," IEEE Sensors Journal, Vol. 9, No. 8, 953-960, Aug. 2009.
doi:10.1109/JSEN.2009.2025580

40. 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, No. 5, 1200-1216, May 1995.
doi:10.1109/78.382404

41. Porat, B. and B. Friedlander, "Direction finding algorithms based on higher order statistics," IEEE Trans. Signal Processing, Vol. 39, No. 9, 2016-2024, Sep. 1999.
doi:10.1109/78.134434

42. Chevalier, P., L. Albera, and P. Comon, "On the virtual array concept for higher order array processing," IEEE Trans. Signal Processing, Vol. 53, No. 4, 1254-1271, Apr. 2005.
doi:10.1109/TSP.2005.843703

43. Chevalier, P. and A. Ferreol, "On the virtual array concept for the fourth-order direction finding problem," IEEE Trans. Signal Processing, Vol. 47, No. 5, 2592-2595, May 1999.
doi:10.1109/78.782217

44. Liang, J. and D. Liu, "Joint elevation and azimuth direction finding using L-shaped array," IEEE Trans. Antennas and Propagation, Vol. 58, No. 6, 2136-2141, 2010.
doi:10.1109/TAP.2010.2046838

45. Gao, F. and A. B. Gershman, "A generalized ESPRIT approach to direction-of-arrival estimation," IEEE Signal Processing Letters, Vol. 12, No. 3, 254-257, 2005.
doi:10.1109/LSP.2004.842276

46. Barabell, A. J., "Improving the resolution performance of eigenstructure-based direction-finding algorithms," Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing, 336-339, Boston, MA, May 1983.

47. Kay, S. M., Fundamentals of Statistical Signal Processing: Estimation Theory, Prentice Hall, Upper Saddle River, NJ, 1993.