Abstract
A new scheme of blind beamforming algorithm is proposed in this paper. The beamformer efficiently filters out the compact desired chirp signal and significantly suppress the cyclically uncorrelated nonstationary interference and stationary (colored) Gaussian noise by identifying and utilizing the optimum fractional Fourier transform (FrFT) domain second-order cyclostationarity. This greatly improves the beamformer output signal-to-interference plus noise ratio (SINR) by effectively reducing the optimum FrFT domain noncyclic signal-colored noise cross-terms in the presence of finite data length de-correlation operation. Simulation results show that the new method works well under a wide range of signal-to-noise ratio and signal-to-interference ratio.
Similar content being viewed by others
References
Krim, H., Viberg, M.: Two decades of array signal processing research: the parametric approach. IEEE Signal Process. Mag. 13(4), 67–94 (1996)
Applebaum, S., Chapman, D.: Adaptive arrays with main beam constraints. IEEE Trans. Ant. Propag. 24(5), 650–662 (1976)
Widrow, B., Mantey, P.E., Griffiths, L.J., Goode, B.B.: Adaptive antenna systems. IEEE Proc. 55(12), 2143–2159 (1967)
Frost, O.L.: An algorithm for linearly constrained adaptive array processing. IEEE Proc. 60(8), 926–935 (1972)
Capon, J.: High-resolution frequency-wavenumber spectrum analysis. IEEE Proc. 57(8), 1408–1418 (1969)
Yetik, I.S., Nehorai, A.: Beamforming using the fractional Fourier transform. IEEE Trans. Signal Process. 51(6), 1663–1668 (2003)
Han, Y., Tran, V.: Recursive Bayesian beamforming with uncertain projected steering vector and strong interferences. Signal Image Video Process. 10(5), 975–982 (2016)
Schell, S.V., Gardner, W.A.: Blind adaptive spatiotemporal filtering for wide-band cyclostationary signals. IEEE Trans. Signal Process. 41(5), 1961–1964 (1993)
Shamsunder, S., Giannakis, G.B., Friedlander, B.: Estimating random amplitude polynomial phase signals: a cyclostationary approach. IEEE Trans. Signal Process. 43(2), 492–505 (1995)
Gini, F., Montanari, M., Verrazzani, L.: Estimation of chirp radar signals in compound-Gaussian clutter: a cyclostationary approach. IEEE Trans. Signal Process. 48(4), 1029–1039 (2000)
Van Der Veen, A.J.: Algebraic methods for deterministic blind beamforming. IEEE Proc. 86(10), 1987–2008 (1998)
Agee, B.G., Schell, S.V., Gardner, W.A.: Spectral self-coherence restoral: a new approach to blind adaptive signal extraction using antenna arrays. IEEE Proc. 78(4), 753–767 (1990)
Ahmad, M.I., Liu, Z., Xu, Y.: Order selection in fractional Fourier transform based beamforming. J. Syst. Eng. Electron. 21(3), 361–369 (2010)
Kutay, A., Ozaktas, H.M., Ankan, O., Onural, L.: Optimal filtering in fractional Fourier domains. IEEE Trans. Signal Process. 45(5), 1129–1143 (1997)
Wei, D., Ran, Q.: Multiplicative filtering in the fractional Fourier domain. Signal Image Video Process. 7(3), 575–580 (2013)
Alieva, T., Bastiaans, M.J.: On fractional Fourier transform moments. IEEE Signal Process. Lett. 7(11), 320–323 (2000)
Markhi, H.E., Haibala, O.M.M., Mrabti, F., Chargé, P., Zouak, M.: An improved cyclic beamforming method for signal DOA estimation. Signal Image Video Process. 1(3), 267–272 (2007)
Acknowledgements
The authors would like to thank the editor and the anonymous referee for their valuable comments and suggestions that improved the clarity and quality of this manuscript.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ahmad, M.I., Sardar, M.U. & Ahmad, I. Blind beamforming using fractional Fourier transform domain cyclostationarity. SIViP 12, 379–383 (2018). https://doi.org/10.1007/s11760-017-1169-5
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11760-017-1169-5