Vol. 79
Latest Volume
All Volumes
PIER 176 [2023] PIER 175 [2022] PIER 174 [2022] PIER 173 [2022] PIER 172 [2021] PIER 171 [2021] PIER 170 [2021] PIER 169 [2020] PIER 168 [2020] PIER 167 [2020] PIER 166 [2019] PIER 165 [2019] PIER 164 [2019] PIER 163 [2018] PIER 162 [2018] PIER 161 [2018] PIER 160 [2017] PIER 159 [2017] PIER 158 [2017] PIER 157 [2016] PIER 156 [2016] PIER 155 [2016] PIER 154 [2015] PIER 153 [2015] PIER 152 [2015] PIER 151 [2015] PIER 150 [2015] PIER 149 [2014] PIER 148 [2014] PIER 147 [2014] PIER 146 [2014] PIER 145 [2014] PIER 144 [2014] PIER 143 [2013] PIER 142 [2013] PIER 141 [2013] PIER 140 [2013] PIER 139 [2013] PIER 138 [2013] PIER 137 [2013] PIER 136 [2013] PIER 135 [2013] PIER 134 [2013] PIER 133 [2013] PIER 132 [2012] PIER 131 [2012] PIER 130 [2012] PIER 129 [2012] PIER 128 [2012] PIER 127 [2012] PIER 126 [2012] PIER 125 [2012] PIER 124 [2012] PIER 123 [2012] PIER 122 [2012] PIER 121 [2011] PIER 120 [2011] PIER 119 [2011] PIER 118 [2011] PIER 117 [2011] PIER 116 [2011] PIER 115 [2011] PIER 114 [2011] PIER 113 [2011] PIER 112 [2011] PIER 111 [2011] PIER 110 [2010] PIER 109 [2010] PIER 108 [2010] PIER 107 [2010] PIER 106 [2010] PIER 105 [2010] PIER 104 [2010] PIER 103 [2010] PIER 102 [2010] PIER 101 [2010] PIER 100 [2010] PIER 99 [2009] PIER 98 [2009] PIER 97 [2009] PIER 96 [2009] PIER 95 [2009] PIER 94 [2009] PIER 93 [2009] PIER 92 [2009] PIER 91 [2009] PIER 90 [2009] PIER 89 [2009] PIER 88 [2008] PIER 87 [2008] PIER 86 [2008] PIER 85 [2008] PIER 84 [2008] PIER 83 [2008] PIER 82 [2008] PIER 81 [2008] PIER 80 [2008] PIER 79 [2008] PIER 78 [2008] PIER 77 [2007] PIER 76 [2007] PIER 75 [2007] PIER 74 [2007] PIER 73 [2007] PIER 72 [2007] PIER 71 [2007] PIER 70 [2007] PIER 69 [2007] PIER 68 [2007] PIER 67 [2007] PIER 66 [2006] PIER 65 [2006] PIER 64 [2006] PIER 63 [2006] PIER 62 [2006] PIER 61 [2006] PIER 60 [2006] PIER 59 [2006] PIER 58 [2006] PIER 57 [2006] PIER 56 [2006] PIER 55 [2005] PIER 54 [2005] PIER 53 [2005] PIER 52 [2005] PIER 51 [2005] PIER 50 [2005] PIER 49 [2004] PIER 48 [2004] PIER 47 [2004] PIER 46 [2004] PIER 45 [2004] PIER 44 [2004] PIER 43 [2003] PIER 42 [2003] PIER 41 [2003] PIER 40 [2003] PIER 39 [2003] PIER 38 [2002] PIER 37 [2002] PIER 36 [2002] PIER 35 [2002] PIER 34 [2001] PIER 33 [2001] PIER 32 [2001] PIER 31 [2001] PIER 30 [2001] PIER 29 [2000] PIER 28 [2000] PIER 27 [2000] PIER 26 [2000] PIER 25 [2000] PIER 24 [1999] PIER 23 [1999] PIER 22 [1999] PIER 21 [1999] PIER 20 [1998] PIER 19 [1998] PIER 18 [1998] PIER 17 [1997] PIER 16 [1997] PIER 15 [1997] PIER 14 [1996] PIER 13 [1996] PIER 12 [1996] PIER 11 [1995] PIER 10 [1995] PIER 09 [1994] PIER 08 [1994] PIER 07 [1993] PIER 06 [1992] PIER 05 [1991] PIER 04 [1991] PIER 03 [1990] PIER 02 [1990] PIER 01 [1989]
2007-10-27
Robust Adaptive Beamforming for Steering Vector Uncertainties Based on Equivalent DOAs Method
By
Progress In Electromagnetics Research, Vol. 79, 277-290, 2008
Abstract
The adaptive beamformers often suffer severe performance degradation when there exist uncertainties in the steering vector of interest. In this paper, we develop a new approach to robust adaptive beamforming in the presence of an unknown signal steering vector. Based on the observed data, we try to estimate an equivalent directionof- arrival (DOA) for each sensor, in which all factors causing the steering vector uncertainties are ascribed to the DOA uncertainty only. The equivalent DOA of each sensor can be estimated one by one with the assumption that the elements of the steering vector are uncorrelated with each other. Using a Bayesian approach, the equivalent DOA estimator of each sensor is a weighted sum of a set of candidate DOA's, which are combined according to the value of the a posteriori probability for each pointing direction. In this way, the signal steering vector and the diagonal loading sample matrix inversion (DL-SMI) version adaptive beamformer can be obtained. Numerical simulations illustrate the robustness of the proposed beamforming algorithm.
Citation
Yujie Gu Zhi-Guo Shi Kang Chen Yu 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
http://www.jpier.org/PIER/pier.php?paper=07102202
References

1. Singh, A. K., P. Kumar, T. Chakravarty, G. Singh, and S. Bhooshan, "A novel digital beamformer with low angle resolution for vehicle tracking radar," Progress In Electromagnetics Research, Vol. 66, 229-237, 2006.
doi:10.2528/PIER06112102

2. Dessouky, M., H. Sharshar, and Y. Albagory, "A novel tapered beamforming window for uniform concentric circular arrays," J. of Electromagn. Waves and Appl., Vol. 20, No. 14, 2077-2089, 2006.
doi:10.1163/156939306779322701

3. Kim, J. W. and C. K. Un, "An adaptive array robust to beam pointing error," IEEE Trans. Signal Processing, Vol. 40, No. 6, 1582-1584, 1992.
doi:10.1109/78.139266

4. Jablon, N. K., "Adaptive beamforming with the generalized sidelobe canceller in the presence of array imperfections," IEEE Trans. Antennas Propagat., Vol. AP-34, No. 8, 996-1012, 1986.
doi:10.1109/TAP.1986.1143936

5. Ringelstein, J., A. B. Gershman, and J. F. Böhme, "Direction finding in random inhomogeneous media in the presence of multiplicative noise," IEEE Signal Processing Lett., Vol. 7, No. 10, 269-272, 2000.
doi:10.1109/97.870675

6. Hong, Y. J., C. C. Yeh, and D. R. Ucci, "The effect of a finitedistance signal source on a far-field steering applebaum array — two-dimensional array case," IEEE Trans. Antennas Propagat., Vol. 36, No. 4, 468-475, 1988.
doi:10.1109/8.1135

7. Pedersen, K. I., P. E. Mogensen, and B. H. Fleury, "A stochastic model of the temporal and azimuthal dispersion seen at the base station in outdoor propagation environments," IEEE Trans. Veh. Technol., Vol. 49, No. 2, 437-447, 2000.
doi:10.1109/25.832975

8. Gershman, A. B., "Robust adaptive beamforming in sensor arrays," Int. J. Electron. Commun., Vol. 53, 305-314, 1999.

9. 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

10. Guo, B., Y. Wang, J. Li, P. Stoica, and R. Wu, "Microwave imaging via adaptive beamforming methods for breast cancer detection," J. of Electromagn. Waves and Appl., Vol. 20, No. 1, 53-63, 2006.
doi:10.1163/156939306775777350

11. Vescovo, R., "Beam scanning with null and excitation constraints for linear arrays of antennas," J. of Electromagn. Waves and Appl., Vol. 21, No. 2, 267-277, 2007.
doi:10.1163/156939307779378817

12. Cox, H., R. M. Zeskind, and M. H. Owen, "Robust adaptive beamforming," IEEE Trans. Acoust., Vol. ASSP-35, No. 10, 1365-1376, 1987.
doi:10.1109/TASSP.1987.1165054

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

14. Vorobyov, S. A., A. B. Gershman, and Z. Q. Luo, "Robust adaptive beamforming using worst-case performance optimization: a solution to the signal mismatch problem," IEEE Trans. Signal Processing, Vol. 51, No. 2, 313-324, 2003.
doi:10.1109/TSP.2002.806865

15. Li, J., P. Stoica, and Z. Wang, "On robust capon beamforming and diagonal loading," IEEE Trans. Signal Processing, Vol. 51, No. 7, 1702-1715, 2003.
doi:10.1109/TSP.2003.812831

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

17. Besson, O., A. A. Monakov, and C. Chalus, "Signal waveform estimation in the presence of uncertainties about the steering vector," IEEE Trans. Signal Processing, Vol. 52, No. 9, 2432-2440, 2004.
doi:10.1109/TSP.2004.831917

18. Lam, C. J. and A. C. Singer, Adaptive bayesian beamforming for steering vector uncertainties with order recursive implementation, Proc. ICASSP'06, 997-1000, 2006.

19. Capon, J., High resolution frequency-wavenumber spectral analysis, Proc. of the IEEE, Vol. 57, No. 8, 1408-1418, 1969.

20. Reed, I. S., J. D. Mallett, and L. E. Brennan, "Rapid convergence rate in adaptive arrays," IEEE Trans. Aerosp. Electron. Syst., Vol. AESC10, No. 6, 853-863, 1974.
doi:10.1109/TAES.1974.307893

21. 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. Signal Processing, Vol. 53, No. 2, 452-459, 2005.
doi:10.1109/TSP.2004.840777

22. Papoulis, A., Probability, Random Variables, and Stochastic Processes, 3rd edition, McGraw Hill Company, 1991.

23. Bell, K. L., Y. Ephraim, and H. L. Van Tress, "A Bayesaian approach to robust adaptive beamforming," IEEE Transactions on Signal Processing, Vol. 48, No. 2, 386-398, 2000.
doi:10.1109/78.823966

24. Kay, S. M., Modern Spectral Estimation, Prentice-Hall, Englewood Cliffs, NJ, 1988.