Abstract
A conjugate cyclic adaptive beamforming algorithm is proposed with the conjugate symmetric constraint. By using the symmetric structure of uniform linear array, it can be first proved that the conjugate cyclic correlation matrix is centro-Hermitian matrix, and the weight vector of the linearly constrained conjugate cyclic adaptive beamformer has a conjugate symmetric structure which is particular to conjugate cyclostationary signal. Then, the conjugate symmetric constraint for weight vector is added to the original algorithm, and the weight vector is derived from the proposed algorithm by recursive least squares. Compared to the traditional algorithms, the proposed method can achieve a higher steady state output SINR and a faster convergence speed. Moreover, in our method, the number of variables in the update equation are reduced effectively by half, which leads to significantly improve the overall performance. Simulation results demonstrate the effectiveness of the proposed method.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
B. Allen, Adaptive array systems, fundamentals and applications (2005). Chichester, U.K
Y. Chen, T. Le-Ngoc, B. Champagne, Recursive least squares constant modulus algorithm for blind adaptive array. IEEE Trans. Signal Process. 52(5), 1452–1456 (2004)
L. Zhang, W. Lei, R. Langley, A class of constant modulus algorithms for uniform linear arrays with a conjugate symmetric constraint. Signal Process. 90(9), 2760–2765 (2010)
M.C. Dogan, J.M. Mendel, Cumulant-based blind optimum beamforming. IEEE Trans. Aerosp. Electron. Syst. 30(3), 722–740 (1994)
K. Yang, T. Ohira, Y. Zhang, Super-exponential blind adaptive beamforming. IEEE Trans. Signal Process. 52(6), 1549–1563 (2004)
R. Ho, O. Wu, K.M. Wong, Implementation of cyclic beamforming techniques on mobile communication systems, in Proceedings of 2nd workshop cyclostationary signals (1994), pp. 16.1–16.9
Q. Wu, K.M. Wong, R. Ho, Fast algorithm for adaptive beamforming of cyclic signals. IEE Proc. Radar Sonar Navig. 141(6), 312–318 (1994)
Q. Wu, K.M. Wong, Adaptive beamforming of cyclic signal and fast implementation, in Proceedings of IEEE international conference on acoustics, speech, and signal processing (1994), pp. 157–160
Q. Wu, K.M. Wong, Blind adaptive beamforming for cycloststionary signals. IEEE Trans. Signal Process. 44(11), 2757–2767 (1996)
W.J. Zeng, X.L. Li, X.D. Zhang, An improved signal-selective direction finding algorithm using second-order cyclic statistics, in Proceedings of IEEE International Conference on Acoustics, Speech, and Signal Processing (2009), pp. 2141–2144
Acknowledgements
This work is supported in part by Tianjin Research Program of Application Foundation and Advanced Technology under Grant 16JCQNJC01100 and 15JCQNJC01800, in part by Doctoral Foundation of Tianjin Normal University under Grant 52XB1201, in part by High School Science and Technology Developing Foundation of Tianjin under Grant 20140706.
Author information
Authors and Affiliations
Corresponding authors
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Cui, Y., Wang, J. (2018). A Constrained Conjugate Cyclic Adaptive Beamforming Algorithm with Symmetric Uniform Linear Array. In: Liang, Q., Mu, J., Wang, W., Zhang, B. (eds) Communications, Signal Processing, and Systems. CSPS 2016. Lecture Notes in Electrical Engineering, vol 423. Springer, Singapore. https://doi.org/10.1007/978-981-10-3229-5_10
Download citation
DOI: https://doi.org/10.1007/978-981-10-3229-5_10
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-3228-8
Online ISBN: 978-981-10-3229-5
eBook Packages: EngineeringEngineering (R0)