volume | PIER Journals

Abstract

Blind direction of arrival (DOA) estimation algorithms of coherent sources using multi-invariance property is presented in this paper. ESPRIT-like algorithm in [23] can estimate DOA of coherent signal, but its performance is without satisfaction. We reconstruct the received signal to form data model with multi-invariance property, and then multi-invariance ESPRIT and multi-invariance MUSIC algorithms for coherent DOA estimation are proposed in this paper. Our proposed algorithms can resolve the DOAs of coherent signals. They have much better DOA estimation performance than ESPRITlike algorithm. Meanwhile they identify more DOAs than ESPRIT-like algorithm. The simulation results demonstrate their validity.

1. Qu, Y., G. Liao, S.-Q. Zhu, and X.-Y. Liu, "Pattern synthesis of planar antenna array via convex optimization for airborne forward looking radar," Progress In Electromagnetics Research, Vol. 84, 1-10, 2008.
doi:10.2528/PIER08060301 Google Scholar

2. Yang, Y., Y. Wang, and A. E. Fathy, "Design of compact Vivaldi antenna arrays for UWB see through wall applications," Progress In Electromagnetics Research, Vol. 82, 401-418, 2008.
doi:10.2528/PIER08040601 Google Scholar

3. Guney, K. and M. Onay, "Amplitude-only pattern nulling of linear antenna arrays with the use of bees algorithm," Progress In Electromagnetics Research, Vol. 70, 21-36, 2007.
doi:10.2528/PIER07011204 Google Scholar

4. Liang, L., B. Li, S.-H. Liu, and C.-H. Liang, "A study of using the double negative structure to enhance the gain of rectangular waveguide antenna arrays," Progress In Electromagnetics Research, Vol. 65, 275-286, 2006.
doi:10.2528/PIER06103102 Google Scholar

5. Abouda, A., H. M. El-Sallabi, and S. G. Haggman, "Effect of antenna array geometry and ULA azimuthal orientation on MIMO channel properties in urban city street grid," Progress In Electromagnetics Research, Vol. 64, 257-278, 2006.
doi:10.2528/PIER06050801 Google Scholar

6. Mouhamadou, M., P. Vaudon, and M. Rammal, "Smart antenna array patterns synthesis: Null steering and multi-user beamforming by phase control," Progress In Electromagnetics Research, Vol. 60, 95-106, 2006.
doi:10.2528/PIER05112801 Google Scholar

7. Gustafsson, M., "RCS reduction of integrated antenna arrays with resistive sheets," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 1, 27-40, 2006.
doi:10.1163/156939306775777323 Google Scholar

8. Fu, Y.-Q., Q.-R. Zheng, Q. Gao, and G. Zhang, "Mutual coupling reduction between large antenna arrays using electromagnetic bandgap (EBG) structures," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 6, 819-825, 2006.
doi:10.1163/156939306776143415 Google Scholar

9. Li, B., B. Wu, and C.-H. Liang, "High gain circular waveguide array antenna using electromagnetic band-gap structure," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 7, 955-966, 2006.
doi:10.1163/156939306776149860 Google Scholar

10. Guo, J., J.-Y. Li, and Q.-Z. Liu, "Analysis of antenna array with arbitrarily shaped radomes using fast algorithm based on VSIE," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 10, 1399-1410, 2006.
doi:10.1163/156939306779276811 Google Scholar

11. Psarros, I. and G.Fikioris, "Two-term theory for infinite linear array and application to study of resonances," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 5, 623-645, 2006.
doi:10.1163/156939306776137809 Google Scholar

12. Lei, J., G. Fu, L.Y ang, and D. M. Fu, "An omnidirectional printed dipole array antenna with shaped radiation pattern in the elevation plane," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 14, 1955-1966, 2006.
doi:10.1163/156939306779322639 Google Scholar

13. Lizzi, L., F. Viani, M. Benedetti, P. Rocca, and A. Massa, "The M-DSO-esprit method for maximum likelihood DOA estimation," Progress In Electromagnetics Research, Vol. 80, 477-497, 2008.
doi:10.2528/PIER07121106 Google Scholar

14. Gu, Y.-J., Z.-G. Shi., K. S. Chen, and Y. Li, "Robust adaptive beamforming for steering vector uncertainties based on equivalent DOAs method," Progress In Electromagnetics Research, Vol. 79, 277-290, 2008.
doi:10.2528/PIER07102202 Google Scholar

15. Lie, J. P., B. P. Ng, and C. M. See, "Multiple UWB emitters DOA estimation employing time hopping spread spectrum," Progress In Electromagnetics Research, Vol. 78, 83-101, 2008.
doi:10.2528/PIER07091303 Google Scholar

16. Mukhopadhyay, M., B. K. Sarkar, and A. Chakrabarty, "Augmentation of anti-jam GPS system using smart antenna with a simple DOA estimation algorithm," Progress In Electromagnetics Research, Vol. 67, 231-249, 2007.
doi:10.2528/PIER06090504 Google Scholar

17. Harabi, F., H. Changuel, and A. Gharsallah, "Direction of arrival estimation method using a 2-L shape arrays antenna," Progress In Electromagnetics Research, Vol. 69, 145-160, 2007.
doi:10.2528/PIER06120204 Google Scholar

18. Changuel, H., F. Harabi, and A. Gharsallah, "2-L-shape two-dimensional arrival angle estimation witha classical subspace algorithm," Progress In Electromagnetics Research, Vol. 66, 301-315, 2006.
doi:10.2528/PIER06112802 Google Scholar

19. Pillai, S. U. and B. H. Kwon, "Forward/backward smoothing techniques for coherent signal identification," IEEE Trans. Acoust., Speech, Signal Process., Vol. 37, 8-15, 1989.
doi:10.1109/29.17496 Google Scholar

20. Du, W. X. and R. L. Kirlin, "Improved spatial smoothing techniques for DOA estimation of coherent signals," IEEE Trans. Signal Process., Vol. 39, 1208-1210, 1991.
doi:10.1109/78.80975 Google Scholar

21. Jeng, S. S. and C. W. Tsung, "Multipathdirection finding with subspace smoothing," Proc. 1997 IEEE Int. Conf. Acoustics, Speech, and Signal Processing, 3485-3488, 1997. Google Scholar

22. Jiang, H. and S.-X. Wang, "On temporal smoothing for two-dimensional direction-of-arrival estimation of coherent signals in multiplicative/additive noises environment," 2005 Asia-Pacific Conference on Communications, 119-123, 2005.
doi:10.1109/APCC.2005.1554031 Google Scholar

23. Han, F. M. and X. D. Zhang, "An ESPRIT-like algorithm for coherent DOA estimation," IEEE Antennas and Wireless Propagat Letters, Vol. 4, 443-446, 2005.
doi:10.1109/LAWP.2005.860194 Google Scholar

24. Yuen, N. and B. Friedlander, "DOA estimation in multipath: An approachusing fourth-order cumulants," IEEE Trans. Signal Process., Vol. 45, 1253-1265, 1997.
doi:10.1109/78.575698 Google Scholar

25. Gonen, E., J. M. Mendel, and M. C. Dogan, "Applications of cumulants to array processing, Part IV: Direction finding in coherent signals case," IEEE Trans. Signal Process., Vol. 45, 2265-2276, 1997.
doi:10.1109/78.622949 Google Scholar

26. Cedervall, M. and R. L. Moses, "Decoupled maximum likelihood angle estimation for coherent signals," Proceedings of the 29th Asilomar Conference on Signals, Systems and Computers, Vol. 2, 1157-1161, 1995. Google Scholar

27. Masaki, T., N. Toshihiko, O. Yasutaka, and O. Takeo, "Direction-of-arrival estimation of coherent signals using a cylindrical array," IEICE Transactions on Communications, Vol. 88, 2588-2596, 2005. Google Scholar

28. Roy, R. and T. Kailath, "ESPRIT-estimation of signal parameters via rotational invariance techniques," IEEE. Trans. ASSP, Vol. 37, No. 7, 984-995, 1989. Google Scholar

29. Kruskal, J. B., "Three-way arrays: Rank and uniqueness of trilinear decompositions withapplication to arithmetic complexity and statistics," Linear Algebra Applicat., Vol. 18, 95-138, 1977.
doi:10.1016/0024-3795(77)90069-6 Google Scholar

30. Zhang, X., Y. Shi, and D. Xu, "Novel blind joint direction of arrival and polarization estimation for polarization-sensitive uniform circular array," Progress In Electromagnetics Research, Vol. 86, 19-37, 2008.
doi:10.2528/PIER08082302 Google Scholar

31. Zhang, X., D. Wang, and D. Xu, "Novel blind joint direction of arrival and frequency estimation for uniform linear array," Progress In Electromagnetics Research, Vol. 86, 199-215, 2008.
doi:10.2528/PIER08091205 Google Scholar

32. Zhang, X. and D. Xu, "Deterministic blind beamforming for electromagnetic vector sensor array," Progress In Electromagnetics Research, Vol. 84, 363-377, 2008.
doi:10.2528/PIER08080402 Google Scholar

33. Zhang, X., B. Feng, and D. Xu, "Blind joint symbol detection and DOA estimation for OFDM system withan tenna array," Wireless Pers. Commun., Vol. 46, 371-383, 2008. Google Scholar

34. Zhang, X. and D. Xu, "Blind PARAFAC signal detection for polarization sensitive array," EURASIP Journal on Advances in Signal Processing, Vol. 2007, 2007. Google Scholar

35. Swindlehurst, A. L., B. Ottersten, R. Roy, and T. Kailath, "Multiple invariance ESPRIT," IEEE Trans. Signal Process., Vol. 40, 867-881, 1992.
doi:10.1109/78.127959 Google Scholar

36. Swindlehurst, A. L., P. Stoica, and aM. Jansson, "Exploiting arrays withm ultiple invariances using MUSIC and MODE," IEEE Transactions on Signal Processing, Vol. 49, No. 11, 2511-2521, 2001.
doi:10.1109/78.960398 Google Scholar

Prof. Xiaofei Zhang

Dr. Jun Yu

Dr. Gaopeng Feng

Professor Dazhuan Xu