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ROBUST ADAPTIVE BEAMFORMING USING A FULLY DATA-DEPENDENT LOADING TECHNIQUE

By C.-C. Huang and J.-H. Lee

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Abstract:
This paper deals with adaptive array beamforming in the presence of errors due to steering vector mismatch and finite sample effect. Diagonal loading (DL) is one of the widely used techniques for dealing with these errors. However, the main drawback of DL techniques is that there is not an easy and reliable manner to determine the required loading factor. Recently, serval DL approaches proposed the so-called automatic scheme on computing the required loading factor. In this paper, we propose a fully data-dependent loading to overcome the difficulties. The novelty is that the proposed method does not require any additional sophisticated scheme to choose the required loading. The loading factor can be completely obtained from the received array data. Analytical formulas for evaluating the performance of the proposed method under random steering vector error are further derived. Simulation results are provided to confirm the validity of the proposed method and make comparison with the existing DL methods.

Citation:
C.-C. Huang and J.-H. Lee, "Robust Adaptive Beamforming Using a Fully Data-Dependent Loading Technique," Progress In Electromagnetics Research B, Vol. 37, 307-325, 2012.
doi:10.2528/PIERB11110406

References:
1. Capon, J., "High resolution frequency-wavenumber spectrumanalysis ," Proc. IEEE, Vol. 57, 1408-1418, Aug. 196.
doi:10.1109/PROC.1969.7278

2. Van Trees, H. L., Optimum Array Processing, Part IV of Detection, Estimation, and Modulation Theory, John & Wiley Sons, Inc., New York, USA, 2002.

3. Monzingo, R. A. and T.W. Miller, "Introduction to Adaptive Array," Wiley, New York, 1980.

4. Carlson, B. D., "Covariance matrix estimation errors and diagonal loading in adaptive arrays ," IEEE Trans. Aerosp. Electron. Syst., Vol. 24, 397-401, Jul. 1988.
doi:10.1109/7.7181

5. Wax, M. and Y. Anu, "Performance analysis of the minimum variance beamformer," IEEE Trans. Signal Processing, Vol. 44, 928-937, Apr. 1996.
doi:10.1109/78.492545

6. Wax, M. and Y. Anu, "Performance analysis of the minimum variance beamformer in the presence of steering vector errors," IEEE Trans. Signal Processing, Vol. 44, 938-947, Apr. 1996.
doi:10.1109/78.492546

7. Feldman, D. D. and L. J. Griffiths, "A projection approach for robust adaptive beamforming," IEEE Trans. Signal Processing, Vol. 42, 867-876, Apr. 1994.
doi:10.1109/78.285650

8. Cox, H., R. M. Zeskind, and M. H. Owen, "Robust adaptive beamforming," IEEE Trans. Acoust., Speech, Signal Processing, Vol. 35, 1365-1376, Oct. 1987.
doi:10.1109/TASSP.1987.1165054

9. Lee, C.-C. and J.-H. Lee, "Robust adaptive array beamforming under steering vector errors," IEEE Trans. Antennas Propagat., Vol. 45, 168-175, 1997.
doi:10.1109/8.611256

10. Li, Y., Y.-J. Gu, Z.-G. Shi, and K. S. Chen, "Robust adaptive beamforming based on particle filter with noise unknown," Progress In Electromagnetics Research, Vol. 90, 151-169, 2009.
doi:10.2528/PIER09010302

11. Wang, W., R. Wu, and J. Liang, "A novel diagonal loading method for robust adaptive beamforming," Progress In Electromagnetics Research C, Vol. 18, 245-255, 2011.

12. Vincent, F. and O. Besson, "Steering vector errors and diagonal loading," IEE Proc. Radar Sonar Navig., Vol. 151, No. 6, 337-343, Dec. 2004.
doi:10.1049/ip-rsn:20041069

13. Li, J., P. Stoica, and Z. Wang, "On robust capon beamforming and diagonal loading," IEEE Trans. on Signal Processing, Vol. 51, No. 7, 1702-1715, Jul. 2003.

14. Lorenz, R. G. and S. P. Boyd, "Robust minimum variance beamforming," IEEE Trans. on Signal Processing, Vol. 53, No. 5, 1684-1696, May 2005.
doi:10.1109/TSP.2005.845436

15. Vorobyov, S., A. B. Gershman, and Z.-Q. Luo, "Robust adaptive beamforming using worst-case performance optimization: A solution to the signal mismatch problem ," IEEE Trans. on Signal Processing, Vol. 51, 313-324, Feb. 2003.
doi:10.1109/TSP.2002.806865

16. Gu, J., "Robust beamforming based on variable loading," Electronics Letters, Vol. 41, No. 2, Jan. 2005.
doi:10.1049/el:20057279

17. Gu, J. and P. J. Wolfe, "Robust adaptive beamforming using variable loading," Fourth IEEE Workshop on Sensor Array and Multichannel Processing, 1-5, Jul. 2006.

18. Selén, Y., R. Abrahamsson, and P. Stoica, "Automatic robust adaptive beamforming via ridge regression," Signal Processing, Vol. 88, No. 1, 33-49, 2008.
doi:10.1016/j.sigpro.2007.07.003

19. Li, J., L. Du, and P. Stoica, "Fully automatic computation of diagonal loading levels for robust adaptive beamforming," IEEE Trans. Aerosp. Electron. Syst., Vol. 46, No. 1, 449-458, Jan. 2010.
doi:10.1109/TAES.2010.5417150

20. Yang, J., X. H. Ma, C. H. Hou, and Y. Liu, "Automatic generalized loading for robust adaptive beamforming," IEEE Signal Process. Lett., Vol. 16, No. 3, 219-222, Mar. 2009.
doi:10.1109/LSP.2008.2010807

21. Du, L., T. Yardibi, J. Li, and P. Stoica, "Review of user parameter-free robust adaptive beamforming algorithms," Digital Signal Processing, Vol. 19, No. 4, 567-582, Jul. 2009.
doi:10.1016/j.dsp.2009.02.001

22. Besson, O. and F. Vincent, "Performance analysis of beamformers using generalized loading of the covariance matrix in the presence of random steering vector errors," IEEE Trans. on Signal Processing, Vol. 53, 452-459, Feb. 2005.
doi:10.1109/TSP.2004.840777

23. Chang, L. and C. C. Yeh, "Performance of DMI and eigenspace-based beamformers," IEEE Trans. Antennas Propagat., Vol. 40, No. 11, 1336-1347, Nov. 1992.
doi:10.1109/8.202711

24. Yu, L., W. Liu, and R. Langley, "SINR analysis of the subtraction-based SMI beamformer," IEEE Trans. on Signal Processing, Vol. 58, No. 11, 5926-5932, Nov. 2010.
doi:10.1109/TSP.2010.2058801

25. Olen, C. A. and R. T. Compton Jr., "A numerical pattern synthesis algorithm for arrays," IEEE Trans. Antennas Propagat., Vol. 38, 1666-1676, Oct. 1990.

26. Zhou, P. Y. and M. A. Ingram, "Pattern synthesis for arbitrary arrays using an adaptive array method," IEEE Trans. Antennas Propagat., Vol. 47, No. 5, 862-869, May 1999.
doi:10.1109/8.774142


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