Principles of minimum variance robust adaptive beamforming design

Signal Processing

Volumn 93, Issue 12, 2013, Pages 3264-3277

  Vorobyov, Sergiy A ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

Convex optimization; Robust adaptive beamforming

Indexed keywords

ADAPTIVE ALGORITHMS; ANTENNA ARRAYS; BEAMFORMING; CONVEX OPTIMIZATION;

ADAPTIVE BEAMFORMING ALGORITHMS; DESIGN PRINCIPLES; DEVELOPMENT AND APPLICATIONS; MINIMUM VARIANCE; MINIMUM VARIANCE DISTORTIONLESS RESPONSE; PRIOR INFORMATION; PROPAGATION MEDIA; ROBUST ADAPTIVE BEAMFORMING;

BEAM FORMING NETWORKS;

EID: 84885480022     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sigpro.2012.10.021     Document Type: Article

References (96)

1. A. B. Gershman, Robust adaptive beamforming in sensor arrays, International Journal of Electronics and Communications 53 (December) (1999) 305-314. (invited paper). (Pubitemid 30556873)
2. A. B. Gershman, N. D. Sidiropoulos, S. Shahbazpanahi, M. Bengtsson, B. Ottersten, Convex optimization-based beamforming, IEEE Signal Processing Magazine 27 (June (3)) (2010) 62-75.
3. O. L. Frost, An algorithm for linearly constrained adaptive array processing, Proceedings of the IEEE 60 (1972) 926-935.
4. N. K. Jablon, Adaptive beamforming with the generalized sidelobe canceller in the presence of array imperfections, IEEE Transactions on Antennas and Propagation 34 (1986) 996-1012.
5. J. C. Preisig, Robust maximum energy adaptive matched field processing, IEEE Transactions on Signal Processing 42 (1994) 1585-1593.
6. D. D. Feldman, L. J. Griffiths, A projection approach to robust adaptive beamforming, IEEE Transactions on Signal Processing 42 (April) (1994) 867-876.
7. J. L. Yu, C. C. Yeh, Generalized eigenspace-based beamformers, IEEE Transactions on Signal Processing 43 (1995) 2453-2461.
8. U. Nickel, On the application of subspace methods for small sample size, International Journal of Electronics and Communications 51 (1997) 279-289. (Pubitemid 127672757)
9. E. K. Hung, R. M. Turner, A fast beamforming algorithm for large arrays, IEEE Transactions on Aerospace and Electronic Systems 19 (July) (1983) 598-607.
10. A. B. Gershman, G. V. Serebryakov, J. F. Boehme, Constrained Hung-Turner adaptive beamforming algorithm with additional robustness to wideband and moving jammers, IEEE Transactions on Antennas and Propagation 44 (1996) 361-367. (Pubitemid 126780672)
11. C. H. Gierull, Performance analysis of fast projections of the Hung-Turner type for adaptive beamforming, Signal Processing 50 (1996) 17-28. (Pubitemid 126375032)
12. T. J. Shan, T. Kailath, Adaptive beamforming for coherent signals and interference, IEEE Transactions on Acoustics, Speech, and Signal Processing 33 (1985) 527-536. (Pubitemid 15597378)
13. M. D. Zoltowski, On the performance of the MVDR beamformer in the presence of correlated interference, IEEE Transactions on Acoustics, Speech, and Signal Processing 36 (1988) 945-947.
14. A. B. Gershman, V. T. Ermolaev, Optimal subarray size for spatial smoothing, IEEE Signal Processing Letters 2 (1995) 28-30.
15. R. T. Williams, S. Prasad, A. K. Mahalanabis, L. Sibul, An improved spatial smoothing technique for bearing estimation in a multipath environment, IEEE Transactions on Acoustics, Speech, and Signal Processing 36 (1988) 425-432. (Pubitemid 18638683)
16. K. Takao, N. Kikuma, T. Yano, Toeplization of correlation matrix in multipath environment, in: Proceedings of the ICASSP'86, Tokyo, Japan, 1986, pp. 1873-1876. (Pubitemid 17485298)
17. A. B. Gershman, C. F. Mecklenbraeucker, J. F. Boehme, Matrix fitting approach to direction of arrival estimation with imperfect spatial coherence of wavefronts, IEEE Transactions on Signal Processing 45 (1997) 1894-1899. (Pubitemid 127766183)
18. A. B. Gershman, V. I. Turchin, V. A. Zverev, Experimental results of localization of moving underwater signal by adaptive beamforming, IEEE Transactions on Signal Processing 43 (October) (1995) 2249-2257.
19. Y. J. Hong, C. C. Yeh, D. R. Ucci, The effect of a finite-distance signal source on a far-field steering Applebaum array - two dimensional array case, IEEE Transactions on Antennas and Propagation 36 (April) (1988) 468-475.
20. J. Goldberg, H. Messer, Inherent limitations in the localization of a coherently scattered source, IEEE Transactions on Signal Processing 46 (December) (1998) 3441-3444. (Pubitemid 128744214)
21. O. Besson, P. Stoica, Decoupled estimation of DOA and angular spread for a spatially distributed source, IEEE Transactions on Signal Processing 48 (July) (2000) 1872-1882.
22. D. Astely, B. Ottersten, The effects of local scattering on direction of arrival estimation with MUSIC, IEEE Transactions on Signal Processing 47 (December) (1999) 3220-3234. (Pubitemid 30531516)
23. R. J. Mallioux, Covariance matrix augmentation to produce adaptive array pattern troughs, Electronic Letters 31 (1995) 771-772.
24. A. B. Gershman, U. Nickel, J. F. Boehme, Adaptive beamforming algorithms with robustness against jammer motion, IEEE Transactions on Signal Processing 45 (1997) 1878-1885. (Pubitemid 127766180)
25. J. R. Guerci, Theory and application of covariance matrix tapers to robust adaptive beamforming, IEEE Transactions on Signal Processing 47 (April) (2000) 977-985.
26. M. A. Zatman, Comment on theory and application of covariance matrix tapers for robust adaptive beamforming, IEEE Transactions on Signal Processing 48 (June) (2000) 1796-1800.
27. S. D. Hayward, Adaptive beamforming for rapidly moving arrays, in: Proceedings of the International Conference on Radar, Bejing, China, 1996, pp. 546-549.
28. K. Takao, K. Komiyama, An adaptive antenna for rejection of wideband interference, IEEE Transactions on Aerospace and Electronic Systems 16 (1980) 452-459. (Pubitemid 11429312)
29. M. Bengtsson, B. Ottersten, Optimal and suboptimal transmit beamforming, in: L. Godara (Ed.), Handbook of Antennas in Wireless Communications, CRC Press, Boca Raton, FL, 2001. (Chapter 18).
30. S. Verdu, Multiuser Detection, Cambridge University Press, Cambridge, UK, 1998.
31. K. Zarifi, S. Shahbazpanahi, A. B. Gershman, Z.-Q. Luo, Robust blind multiuser detection based on the worst-case performance optimization of the MMSE receiver, IEEE Transactions on Signal Processing 53 (January) (2005) 295-305. (Pubitemid 40085354)
32. S. A. Vorobyov, Robust CDMA multiuser detectors: probabilityconstrained versus the worst-case based design, IEEE Signal Processing Letters 15 (2008) 273-276.
33. S. Shahbazpanahi, M. Beheshti, A. B. Gershman, M. Gharavi-Alkhansari, K. M. Wong, Minimum variance linear receivers for multi-access MIMO wireless systems with space-time block coding, IEEE Transactions on Signal Processing 52 (December) (2004) 3306-3313.
34. Y. Rong, S. A. Vorobyov, A. B. Gershman, Robust linear receivers for multi-access space-time block coded MIMO systems: A probabilistically constrained approach, IEEE Journal of Selected Areas in Communications 24 (August) (2006) 1560-1570.
35. N. D. Sidiropoulos, T. N. Davidson, Z.-Q. Luo, Transmit beamforming for physical-layer multicasting, IEEE Transactions on Signal Processing 54 (June) (2006) 2239-2251. (Pubitemid 43811416)
36. E. Karipidis, N. D. Sidiropoulos, Z.-Q. Luo, Far-field multicast beamforming for uniform linear antenna arrays, IEEE Transactions on Signal Processing 55 (October) (2007) 4916-4927. (Pubitemid 47534658)
37. K. T. Phan, S. A. Vorobyov, N. D. Sidiropoulos, C. Tellambura, Spectrum sharing in wireless networks via QoS-aware secondary multicast beamforming, IEEE Transactions on Signal Processing 57 (June) (2009) 2323-2335.
38. V. Havary-Nassab, S. Shahbazpanahi, A. Grami, Z.-Q. Luo, Distributed beamforming for relay networks based on second-order statistics of the channel state information, IEEE Transactions on Signal Processing 56 (September) (2008) 4306-4316.
39. B. Widrow, P. E. Mantey, J. L. Griffiths, B. B. Goode, Adaptive antenna systems, Proceeding of the IEEE 55 (December) (1967) 2143-2159.
40. R. A. Monzingo, T. W. Miller, Introduction to Adaptive Arrays, Wiley, NY, 1980.
41. B. Widrow, S. D. Stearns, Adaptive Signal Processing, Prentice Hall, Englewood Cliffs, NJ, 1985.
42. H. L. Van Trees, Optimum Array Processing, Wiley, NY, 2002.
43. S. Haykin, J. Litva, T. Shepherd (Eds.), Radar Array Processing, Springer-Verlag, 1992.
44. A. Farina, Antenna-Based Signal Processing Techniques for Radar Systems, Artech House, Norwood, MA, 1992.
45. R. J. Vaccaro (Ed.), The past, present, and the future of underwater acoustic signal processing, IEEE Signal Processing Magazine 15 (July) (1998) 21-51.
46. T. S. Rapapport (Ed.), Smart Antennas: Adaptive Arrays, Algorithms, and Wireless Position Location, IEEE Press, 1998.
47. A. B. Gershman, N. D. Sidiropoulos (Eds.), Space-Time Processing for MIMO Communications, John Wiley and Sons, 2005.
48. Y. Kameda, J. Ohga, Adaptive microphone-array system for noise reduction, IEEE Transactions on Acoustics, Speech, and Signal Processing 34 (December) (1986) 1391-1400.
49. S. W. Ellingson, G. A. Hampson, A subspace-tracking approach to interference nulling for phased array-based radio telescopes, IEEE Transactions on Antennas and Propagation 50 (January) (2002) 25-30. (Pubitemid 34504418)
50. A. Leshem, J. Christou, B. D. Jeffs, E. Kuruoglu, A. J. van der Veen (Eds.), Issue on signal processing for space research and astronomy, IEEE Journal of Selected Topics in Signal Processing 2 (5, October) (2008).
51. K. Sekihara, Performance of an MEG adaptive beamformer source reconstruction technique in the presence of adaptive lowrank interference, IEEE Transactions on Biomedical Engineering 51 (January) (2004) 90-99. (Pubitemid 38009967)
52. K.-M. Chen, D. Misra, H. Wang, H.-R. Chuang, E. Postow, An X-band microwave life-detection system, IEEE Transactions on Biomedical Engineering 33 (July) (1986) 697-701. (Pubitemid 16092364)
53. H. Cox, R. M. Zeskind, M. H. Owen, Robust adaptive beamforming, IEEE Transactions on Acoustic, Speech, and Signal Processing 35 (October) (1987) 1365-1376.
54. Y. I. Abramovich, Controlled method for adaptive optimization of filters using the criterion of maximum SNR, Radio Engineering and Electronic Physics 26 (March) (1981) 87-95.
55. B. D. Carlson, Covariance matrix estimation errors and diagonal loading in adaptive arrays, IEEE Transactions on Aerospace and Electronic Systems 24 (July (7)) (1988) 397-401.
56. B. Widrow, K. M. Duvall, R. P. Gooch, W. C. Newman, Signal cancellation phenomena in adaptive antennas: causes and cures, IEEE Transactions on Antennas and Propagation 30 (1982) 469-478. (Pubitemid 12516148)
57. J. W. Kim, C. K. Un, An adaptive array robust to beam pointing error, IEEE Transactions on Signal Processing 40 (June) (1992) 1582-1584.
58. L. Chang, C. C. Yeh, Performance of DMI and eigenspace-based beamformers, IEEE Transactions on Antennas and Propagation 40 (November) (1992) 1336-1347.
59. S. A. Vorobyov, A. B. Gershman, Z.-Q. Luo, Robust adaptive beamforming using worst-case performance optimization: a solution to the signal mismatch problem, IEEE Transactions on Signal Processing 51 (February) (2003) 313-324.
60. R. G. Lorenz, S. P. Boyd, Robust minimum variance beamforming, IEEE Transactions on Signal Processing 53 (May) (2005) 1684-1696. (Pubitemid 40679142)
61. A. B. Gershman, Z.-Q. Luo, S. Shahbazpanahi, Robust adaptive beamforming based on worst-case performance optimization in: P. Stoica, J. Li (Eds.), Robust Adaptive Beamforming, Wiley, Hoboken, NJ, 2006, pp. 49-89.
62. G. A. Fabrizio, A. B. Gershman, M. D. Turley, Robust adaptive beamforming for HF surface wave over-the-horizon radar, IEEE Transactions on Aerospace and Electronic Systems 40 (April) (2004) 510-625.
63. J. Li, P. Stoica, Z. Wang, On robust Capon beamforming and diagonal loading, IEEE Transactions on Signal Processing 51 (July) (2003) 1702-1715.
64. S. A. Vorobyov, A. B. Gershman, Z.-Q. Luo, N. Ma, Adaptive beamforming with joint robustness against mismatched signal steering vector and interference nonstationarity, IEEE Signal Processing Letters 11 (February) (2004) 108-111.
65. J. Li, P. Stoica (Eds.), Robust Adaptive Beamforming, John Wiley and Sons, New York, NY, 2005.
66. P. Stoica, Z. Wang, J. Li, Robust Capon beamforming, IEEE Signal Processing Letters 10 (June (6)) (2003) 172-175.
67. J. Li, P. Stoica, Z. Wang, Doubly constrained robust capon beamformer, IEEE Transactions on Signal Processing 52 (September) (2004) 2407-2423.
68. S. A. Vorobyov, H. Chen, A. B. Gershman, On the relationship between robust minimum variance beamformers with probabilistic and worst-case distrortionless response constraints, IEEE Transactions on Signal Processing 56 (November) (2008) 5719-5724.
69. S. A. Vorobyov, A. B. Gershman, Y. Rong, On the relationship between the worst-case optimization-based and probability-constrained approaches to robust adaptive beamforming, in: Proceedings of the 32nd IEEE International Conference on Acoustics, Speech, and Signal Processing, Honolulu, Hawaii, USA, April 2007, pp. 977-980.
70. M. Ruebsamen, A. B. Gershman, Robust adaptive beamforming using multi-dimensional covariance fitting, IEEE Transactions on Signal Processing 60 (February) (2012) 740-753.
71. A. Pezeshki, B. D. Van Veen, L. L. Scharf, H. Cox, M. Lundberg, Eigenvalue beamforming using a multi-rank MVDR beamformer and subspace selection, IEEE Transactions on Signal Processing 56 (May) (2008) 1954-1967.
72. A. Hassanien, S. A. Vorobyov, K. M. Wong, Robust adaptive beamforming using sequential programming: an iterative solution to the mismatch problem, IEEE Signal Processing Letters 15 (2008) 733-736.
73. L. Lei, J. P. Lie, A. B. Gershman, C. M. S. See, Robust adaptive beamforming in partly calibrated sparse sensor arrays, IEEE Transactions on Signal Processing 58 (March) (2010) 1661-1667.
74. A. Khabbazibasmenj, S. A. Vorobyov, A. Hassanien, Robust adaptive beamforming via estimating steering vector based on semidefinite relaxation, in: Proceedings of the 44th Asilomar Conference on Signals, Systems and Computers, Pacific Grove, California, November 2010, pp. 1102-1106.
75. A. Khabbazibasmenj, S. A. Vorobyov, A. Hassanien, Robust adaptive beamforming based on steering vector estimation with as little as possible prior information, IEEE Transactions on Signal Processing 60 (June) (2012) 2974-2987.
76. S. Shahbazpanahi, A. B. Gershman, Z.-Q. Luo, K. M. Wong, Robust adaptive beamforming for general-rank signal models, IEEE Transactions on Signal Processing 51 (September) (2003) 2257-2269.
77. H. H. Chen, A. B. Gershman, Robust adaptive beamforming for general-rank signal models with positive semi-definite constraints, in: Proceedings of the IEEE International Conference on Acoustic, Speech, and Signal Processing, Las Vegas, USA, April 2008, pp. 2341-2344.
78. A. Khabbazibasmenj, S. A. Vorobyov, A computationally efficient robust adaptive beamforming for general-rank signal model with positive semi-definite constraint, in: Proceedings of the IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, San Juan, Puerto Rico, December 2011, pp. 185-188.
79. A. Khabbazibasmenj, S. A. Vorobyov, Robust adaptive beamforming for general-rank signal model with positive semi-definite constraint via POTDC, IEEE Transactions on Signal Processing, submitted for publication .
80. A. El-Keyi, T. Kirubarajan, A. B. Gershman, Adaptive wideband beamforming with robustness against presteering errors, in: Proceedings of the IEEE Workshop on Sensor Arrays and Multi-Channel Processing, Waltham, MA, USA, July 2006, pp. 11-15. (Pubitemid 46949141)
81. Z. Wang, J. Li, P. Stoica, T. Nishida, M. Sheplak, Constant beamwidth and constant-powerwidth wideband robust Capon beamformers for acoustic imaging, Journal of the Acoustical Society of America 116 (3) (2004) 1621-1631. (Pubitemid 39202574)
82. M. Ruebsamen, Advanced Direction-of-Arrival Estimation and Beamforming Techniques for Multiple Antenna Systems, Ph. D. Thesis, Darmstadt University of Technology, 2011 (Chapter 5).
83. M. Ruebsamen, A. El-Keyi, A. B. Gershman, T. Kirubarajan, Robust broadband adaptive beamforming using convex optimization, in: D. P. Palomar, Y. C. Eldar (Eds.), Convex Optimization in Signal Processing and Communications, Cambridge University Press, 2010, pp. 315-339. (Chapter 9).
84. O. Leodit, M. Wolf, Improved estimation of the covariance matrix of the stock returns with an application to portfolio selection, Journal of Empirical Finance 10 (2003) 603-621. (Pubitemid 36910250)
85. Y. Gu, A. Leshem, Robust adaptive beam forming based on interference covariance matrix reconstruction and steering vector estimation, IEEE Transactions on Signal Processing 60 (July) (2012) 3881-3885.
86. I. S. Reed, J. D. Mallett, L. E. Brennan, Rapid convergence rate in adaptive arrays, IEEE Transactions on Aerospace and Electronic Systems 10 (November) (1974) 853-863.
87. L. C. Godara, The effect of phase-shift errors on the performance of an antenna-array beamformer, IEEE Journal of Oceanic Engineering 10 (July) (1985) 278-284.
88. Special issue on adaptive antennas, IEEE Transactions on Antennas and Propagation, 24 (1976).
89. A. N. Tikhonov, V. Y. Arsenin, Solution to Ill-Posed Problems, V. H. Winston, Washington, DC, 1977.
90. J. K. Thomas, LL. Scharf, D. W. Tufts, The probability of a subspace swap in the SVD, IEEE Transactions on Signal Processing 43 (March) (1995) 730-736.
91. Z.-Q. Luo, W. Yu, An introduction to convex optimization for communications and signal processing, IEEE Journal of Selected Areas in Communications 24 (August) (2006) 20-34.
92. Z.-Q. Luo, W.-K. Ma, A. M.-C. So, Y. Ye, S. Zhang, Semidefinite relaxation of quadratic optimization problems, IEEE Signal Processing Magazine 27 (May (3)) (2010) 20-34.
93. Y. S. Nesterov, Semidefinite relaxation and nonconvex quadratic optimization, Optimization Methods and Software 9 (1-3) (1998) 141-160.
94. S. Zhang, Quadratic maximization and semidefinite relaxation, Mathematics Programs A 87 (2000) 453-465.
95. A. Khabbazibasmenj, F. Roemer, S. A. Vorobyov, M. Haardt, Sum-rate maximization in two-way AF MIMO relaying: polynomial time solutions to a class of DC programming problems, IEEE Transactions on Signal Processing 60 (October (10)) (2012) 5478-5493.
96. T. J. Cornwell, A novel principle for optimization of the instantaneous Fourier plane coverage of correlation arrays, IEEE Transactions on Antennas and Propagation 36 (8) (1988) 1165-1167.