Abstract
Phase-mode transformation (PMT) is a commonly used technique to convert a uniform circular array (UCA) into a virtual uniform linear array (ULA). This method restores the Vandemonde structure of the steering vector and makes it easy to apply many existing beamforming algorithms to UCA. One such method is the famous Minimum Variance Distortionless Response (MVDR) algorithm, in which the array gain is equal to unity in the direction of arrival of the desired signal. However, due to the approximation errors of the PMT and signal steering vector mismatches, the performance of these algorithms degrades. To address these two issues, in this paper we develop a robust recursive updating algorithm based on worst-case performance optimization. We show that the proposed algorithm belongs to the class of the diagonal loading technique and the transformation matrix belongs to a certain ellipsoid set. Using the Lagrange multiplier method, we have also derived closed-form solution to the weight vector. Our robust algorithm has low implementation complexity and makes the mean output array SINR consistently close to the optimal one. Numerical experiments have shown that our method outperforms the MVDR algorithm.
Similar content being viewed by others
References
Mohsen, A., Mahmood, K., Zakiyeh, A.: Robust beamforming in circular arrays using phase-mode transformation. IET Sig. Process. 7(8), 693–703 (2013)
Jiang, X., Zeng, W.J., Yasotharan, A., So, H.C., Kirubarajan, T.: Quadratically constrained minimum dispersion beamforming via gradient projection. IEEE Trans. Sig. Process. 63(1), 192–205 (2015)
Godara, L.C.: Application of antenna arrays to mobile communication, Part Π: Beam-forming and direction-of-arrival considerations. Proc. IEEE 85(7), 1213–1216 (1997)
Chang, L., Yeh, C.C.: Performance of DMI and eigenspace-based beamformers. IEEE Trans. Antennas Propag. 40(11), 1336–1347 (1992)
Feldman, D.D., Griffiths, L.J.: A projection approach to robust adaptive beamforming. IEEE Trans. Sig. Process. 42(4), 867–876 (1994)
Zou, Q., Yu, Z.L., Lin, Z.A.: Robust algorithm for linearly constrained adaptive beamforming. IEEE Sig. Process. Lett. 11(1), 26–29 (2004)
Kim, S.J., Magnani, A., Mutapcic, A., Boyd, S.P., Luo, Z.Q.: Robust beamforming via worst-case SINR maximization. IEEE Trans. Sig. Process. 56(4), 1539–1547 (2008)
Hassanien, A., Vorobyov, S.A., Wong, K.M.: Robust adaptive beamforming using sequential programming: an iterative solution to the mismatch problem. IEEE Sig. Process. Lett. 15, 733–736 (2008)
Wax, M., Sheinvald, J.: Direction finding of coherent signals via spatial smoothing for uniform circular arrays. IEEE Trans. Antennas Propag. 42(5), 613–620 (1994)
Vorobyov, S.A., Gershman, A.B., Luo, Z.Q.: Robust adaptive beamforming using worst-case performance optimization: a solution to the signal mismatch problem. IEEE Trans. Sig. Process. 51(2), 313–324 (2003)
Shahbazpanahi, S., Gershman, A.B., Luo, Z.Q., Wong, K.M.: Robust adaptive beamforming for general-rank signal models. IEEE Trans. Sig. Process. 51(9), 2257–2269 (2003)
Elnashar, A.: Efficient implementation of robust adaptive beamforming based on worst-case performance optimization. IET. Sig. Process. 2(4), 381–393 (2008)
Elnashar, A., Elnoubi, S., Elmikati, H.: Further study on robust adaptive beamforming with optimum diagonal loading. IEEE Trans. Antennas Propag. 54(12), 3647–3658 (2006)
Attallah, S., Abed-Meraim, K.: Fast algorithms for subspace tracking. IEEE Trans. Signal Process. Lett. 8(7), 203–206 (2006)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this paper
Cite this paper
Song, X., Guan, Y., Wang, J., Gao, J. (2017). Robust Adaptive Beamforming in Uniform Circular Array. In: Liu, D., Xie, S., Li, Y., Zhao, D., El-Alfy, ES. (eds) Neural Information Processing. ICONIP 2017. Lecture Notes in Computer Science(), vol 10638. Springer, Cham. https://doi.org/10.1007/978-3-319-70139-4_40
Download citation
DOI: https://doi.org/10.1007/978-3-319-70139-4_40
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-70138-7
Online ISBN: 978-3-319-70139-4
eBook Packages: Computer ScienceComputer Science (R0)