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Mathematical Problems in Engineering
Volume 2015, Article ID 235173, 12 pages
http://dx.doi.org/10.1155/2015/235173
Research Article

DOA and Noncircular Phase Estimation of Noncircular Signal via an Improved Noncircular Rotational Invariance Propagator Method

1Key Laboratory of Radar Imaging and Microwave Photonics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
2College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Received 17 January 2015; Accepted 15 April 2015

Academic Editor: Anders Eriksson

Copyright © 2015 Xueqiang Chen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. W. A. Gardner, “Simplication of MUSIC and ESPRIT by exploitation of cyclostationarity,” Proceedings of the IEEE, vol. 76, no. 7, pp. 845–847, 1988. View at Publisher · View at Google Scholar · View at Scopus
  2. G. B. Zhang, G. S. Liao, Y. Y. Wu et al., “A modified propagator algorithm for DOA estimation based on conjugate data rearrangement,” Journal of System Simulation, vol. 16, no. 8, pp. 1662–1664, 2004. View at Google Scholar
  3. M. Diao, C. Chen, and L. L. Yang, “An improved propagator method for two-dimensional DOA estimation,” Journal of Harbin Engineering University, vol. 32, no. 1, pp. 98–102, 2011. View at Publisher · View at Google Scholar · View at Scopus
  4. Q. Y. Yin, L. H. Zhou, and R. W. Newcomb, “A high resolution approach to 2-D signal parameter estimation-DOA matrix method,” Journal of China Institute of Communications, vol. 12, no. 4, pp. 1–8, 1991. View at Google Scholar
  5. F. Ji, H. Yu, Z.-M. Xie, J. Zhang, and Y.-C. Zhu, “A DOA matrix algorithm for 2-D direction finding estimation with electromagnetic vector sensor arrays,” Journal of Electronics & Information Technology, vol. 30, no. 8, pp. 1886–1889, 2008. View at Google Scholar · View at Scopus
  6. J. F. Li and X. F. Zhang, “Closed-form blind 2D-DOD and 2D-DOA estimation for MIMO radar with arbitrary arrays,” Wireless Personal Communications, vol. 69, no. 1, pp. 175–186, 2013. View at Publisher · View at Google Scholar · View at Scopus
  7. X. F. Zhang, L. C. Zhang, W. Y. Chen et al., “Computationally efficient DOA estimation for MIMO array using propagator method and reduced-dimension transformation,” Journal of Data Acquisition and Processing, vol. 29, no. 3, pp. 372–377, 2014. View at Google Scholar
  8. Y. Bresler and A. Macovski, “Exact maximum likelihood parameter estimation of superimposed exponential signals in noise,” IEEE Transactions on Acoustics, Speech, and Signal Processing, vol. 34, no. 5, pp. 1081–1089, 1986. View at Publisher · View at Google Scholar · View at Scopus
  9. P. Stoica and A. Nehorai, “MUSIC, maximum likelihood, and Cramer-Rao bound: further results and comparisons,” IEEE Transactions on Acoustics, Speech, and Signal Processing, vol. 38, no. 12, pp. 2140–2150, 1990. View at Publisher · View at Google Scholar · View at Scopus
  10. X.-G. Chen, A.-M. Song, and J. Liu, “Maximum likelihood algorithm for direction-of-arrival estimation of noncircular signals,” Modern Radar, vol. 33, no. 1, pp. 51–54, 2011. View at Google Scholar
  11. R. O. Schmidt, “Multiple emitter location and signal parameter estimation,” IEEE Transactions on Antennas and Propagation, vol. AP-34, no. 3, pp. 276–280, 1986. View at Google Scholar · View at Scopus
  12. T. Kailath and R. Roy, “ESPRIT-estimation of signal parameters via rotational invariance techniques,” Optical Engineering, vol. 29, no. 4, pp. 984–995, 1989. View at Google Scholar
  13. M. Haardt and J. A. Nossek, “Unitary ESPRIT: how to obtain increased estimation accuracy with a reduced computational burden,” IEEE Transactions on Signal Processing, vol. 43, no. 5, pp. 1232–1242, 1995. View at Publisher · View at Google Scholar · View at Scopus
  14. J. S. Thompson, P. M. Grant, B. Mulgrew et al., “Generalized algorithm for DOA estimation in a passive sonar,” IEE Proceedings of Radar and Signal Processing, vol. 140, no. 5, pp. 339–340, 1993. View at Google Scholar
  15. C. Sintes, G. Llort-Pujol, and D. Guériot, “Coherent probabilistic error model for interferometric sidescan sonars,” IEEE Journal of Oceanic Engineering, vol. 35, no. 2, pp. 412–423, 2010. View at Publisher · View at Google Scholar · View at Scopus
  16. S. Marcos, A. Marsal, and M. Benidir, “The propagator method for source bearing estimation,” Signal Processing, vol. 42, no. 2, pp. 121–138, 1995. View at Publisher · View at Google Scholar · View at Scopus
  17. N. Tayem and H. M. Kwon, “2D DOA estimation with propagator method for correlated sources under unknown symmetric toeplitz noise,” in Proceedings of the IEEE 61st Vehicular Technology Conference (VTC '05), vol. 1, pp. 1–5, June 2005. View at Publisher · View at Google Scholar · View at Scopus
  18. P. Palanisamy and A. Raghu Nandan, “A new L-shape 2-dimensional angle of arrival estimation based on propagator method,” in Proceedings of the IEEE Region 10 Conference (TENCON '08), pp. 1–6, November 2008. View at Publisher · View at Google Scholar · View at Scopus
  19. Y. Liu and Y. Wu, “Polarization parameters estimation based on propagator method,” Computer Engineering and Design, vol. 32, no. 10, pp. 3317–3320, 2011. View at Google Scholar
  20. G. Huang, X. Deng, and P. Liang, “Estimation algorithm for real-valued direction of arrival based on modified propagator method,” Journal of Computer Applications, vol. 33, no. 5, pp. 1241–1243, 2013. View at Publisher · View at Google Scholar
  21. N. Tayem and H. M. Kwon, “L-shape 2-dimensional arrival angle estimation with propagator method,” IEEE Transactions on Antennas and Propagation, vol. 53, no. 5, pp. 1622–1630, 2005. View at Publisher · View at Google Scholar · View at Scopus
  22. J. L. Cao, Z. W. Liu, Y. G. Xu et al., “An algorithm for wideband spectral correlation DOA estimation based on propagator method,” Journal of China Academy of Electronics and Information Technology, no. 4, pp. 389–394, 2010. View at Google Scholar
  23. F.-Q. Wang and X.-F. Zhang, “Improved propagator method-based joint TOA and DOA estimation in impulse radio ultra wideband,” Journal of Electronics & Information Technology, vol. 35, no. 12, pp. 2954–2959, 2013. View at Publisher · View at Google Scholar · View at Scopus
  24. J.-P. Delmas and H. Abeida, “Cramer-Rao bounds of DOA estimates for BPSK and QPSK modulated signals,” IEEE Transactions on Signal Processing, vol. 54, no. 1, pp. 117–126, 2006. View at Publisher · View at Google Scholar · View at Scopus
  25. P. Gounon, C. Adnet, and J. Galy, “Angular localization for non circular signals,” Traitement du Signal, vol. 15, no. 1, pp. 17–23, 1998. View at Google Scholar
  26. P. Chargé, Y. Wang, and J. Saillard, “A non-circular sources direction finding method using polynomial rooting,” Signal Processing, vol. 81, no. 8, pp. 1765–1770, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  27. P. Chargé, Y. Wang, and J. Saillard, “A root-music algorithm for non circular sources,” in Proceedings of the IEEE Interntional Conference on Acoustics, Speech, and Signal Processing, pp. 2985–2988, May 2001. View at Scopus
  28. H. Abeida and J. P. Delmas, “MUSIC-like estimation of direction of arrival for noncircular sources,” IEEE Transactions on Signal Processing, vol. 54, no. 7, pp. 2678–2690, 2006. View at Publisher · View at Google Scholar · View at Scopus
  29. A. Zoubir, P. Charge, and Y. Wang, “Non circular sources localization with ESPRIT,” in Proceedings of the 6th European Conference on Wireless Technology, Munich, Germany, October 2003.
  30. M. Haardt and F. Römer, “Enhancements of unitary ESPRIT for non-circular sources,” in Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP '04), vol. 2, pp. II101–II104, May 2004. View at Publisher · View at Google Scholar · View at Scopus
  31. J. Steinwandt, F. Roemer, and M. Haardt, “Performance analysis of ESPRIT-type algorithms for non-circular sources,” in Proceedings of the 38th IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP '13), pp. 3986–3990, Vancouver, Canada, May 2013. View at Publisher · View at Google Scholar · View at Scopus
  32. X. F. Zhang, R. A. Cao, and M. Zhou, “Noncircular-PARAFAC for 2D-DOA estimation of noncircular signals in arbitrarily spaced acoustic vector-sensor array subjected to unknown locations,” EURASIP Journal on Advances in Signal Processing, vol. 2013, no. 1, article 107, 2013. View at Publisher · View at Google Scholar · View at Scopus
  33. W. Wang, X. P. Wang, and X. Li, “Propagator method for angle estimation of non-circular sources in bistatic MIMO radar,” in Proceedings of the IEEE Radar Conference (RADAR '13), pp. 1–5, Ottawa, Canada, May 2013. View at Publisher · View at Google Scholar · View at Scopus
  34. J. Liu, Z. T. Huang, and Y. Zhou, “Extended propagator method for direction estimation of noncircular signals,” Signal Processing, vol. 24, no. 4, pp. 556–560, 2008. View at Google Scholar
  35. J. Liu, A.-M. Song, and G.-C. Huang, “Real-valued propagator method for DOA estimation of noncircular signals,” Systems Engineering and Electronics, vol. 32, no. 6, pp. 1136–1139, 2010. View at Publisher · View at Google Scholar · View at Scopus
  36. Z. X. Liu, Y. Li, A. M. Song et al., “Extended propagator method for noncircular signals estimation with polynomial rooting,” Journal of Air Force Engineering University (Natural Science Edition), vol. 12, no. 4, pp. 58–63, 2011. View at Google Scholar
  37. J. Liu, Y. Li, and A. M. Song, “Real-valued extended propagator method for estimating DOAs of noncircular signals with polynomial rooting,” Signal Processing, vol. 27, no. 10, pp. 1605–1609, 2011. View at Google Scholar
  38. X. Y. Sun and J. J. Zhou, “PM method for noncircular signals,” Journal of Data Acquisition and Processing, vol. 28, no. 3, pp. 313–318, 2013. View at Google Scholar · View at Scopus
  39. Y. Wu, G. Liao, and H. C. So, “A fast algorithm for 2-D direction-of-arrival estimation,” Signal Processing, vol. 83, no. 8, pp. 1827–1831, 2003. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  40. N. Tayem and H. M. Kwon, “Azimuth and elevation angle estimation with no failure and no eigen decomposition,” Signal Processing, vol. 86, no. 1, pp. 8–16, 2006. View at Publisher · View at Google Scholar · View at Scopus
  41. X. Zhang, H. L. Wu, J. F. Li, and D. Xu, “Computationally efficient DOD and DOA estimation for bistatic MIMO radar with propagator method,” International Journal of Electronics, vol. 99, no. 9, pp. 1207–1221, 2012. View at Publisher · View at Google Scholar · View at Scopus
  42. H. Jiang, J. Shan, and M. Shi, “A modified ESPRIT algorithm for DOA estimation based on the propagator,” Journal of Xi'an University of Posts and Telecommunications, vol. 18, no. 2, pp. 18–21, 2013. View at Google Scholar
  43. J. F. Li, X. F. Zhang, and H. Chen, “Improved two-dimensional DOA estimation algorithm for two-parallel uniform linear arrays using propagator method,” Signal Processing, vol. 92, no. 12, pp. 3032–3038, 2012. View at Publisher · View at Google Scholar · View at Scopus
  44. P. Chen, M. C. Wicks, and R. S. Adve, “Development of a statistical procedure for detecting the number of signals in a radar measurement,” IEE Proceedings: Radar, Sonar and Navigation, vol. 148, no. 4, pp. 219–226, 2001. View at Publisher · View at Google Scholar · View at Scopus
  45. S. Valaee and S. Shahbazpanahi, “Detecting the number of signals in wireless DS-CDMA networks,” IEEE Transactions on Communications, vol. 56, no. 7, pp. 1189–1197, 2008. View at Publisher · View at Google Scholar · View at Scopus
  46. W.-H. Chung and C.-E. Chen, “Detecting number of coherent signals in array processing by Ljung-Box statistic,” IEEE Transactions on Aerospace and Electronic Systems, vol. 48, no. 2, pp. 1739–1747, 2012. View at Publisher · View at Google Scholar · View at Scopus
  47. P. Stoica and A. Nehorai, “Performance study of conditional and unconditional direction-of-arrival estimation,” IEEE Transactions on Acoustics, Speech, and Signal Processing, vol. 38, no. 10, pp. 1783–1795, 1990. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus