Aiming the error calibration for the array channel uncertainty, a new fast algorithm named Simplified Multi-Stage Wiener Filter (SMSWF) based on the Multi-Stage Wiener Filter (MSWF) is proposed. The SMSWF takes the advantages of the DOA and the waveform of the cooperative source to estimate the gain and the phase factors, and it does not need to estimate the covariance matrix and the eigendecomposition operations. Compared with the eigendecomposition algorithm, the SMSWF has the same performance for estimating gain and phase factors while greatly reduce the complexity. The researches show that if a single source with a known waveform incidence on the array, the signal subspaces obtained by the SMSWF and one obtained by the eigendecomposition are equipollent, which demonstrate that the SMSWF is able to replace the eigendecomposition. The complexity of signal processing methods based on the eigendecomposition can greatly be reduced by replacing the eigendecomposition with the SMSWF. The extensive computer simulations and experiment in anechoice water tank show the superiori performance of the proposed algorithm.
Pan Chao, Chen Jing-dong, and Benesty J. Performance study of the MVDR beamformer as a function of the source incidence angle[J]. IEEE Transactions on Audio, Speech and Language Processing, 2014, 22(1): 67-79.
Cai Jing-jing, Bao Dan, Li Peng, et al.. Two-dimensional DOA estimation using reduced-dimensional MUSIC algorithm with Strong-constraint optimization[J]. Journal of Electronics & Information Technology, 2014, 36(5): 1113-1118.
Ma Yan, Chen Bai-xiao, Yang Ming-lei, et al.. Multi-baseline distributed array DOA estimation using ESPRIT algorithm[J]. Systems Engineering and Electronics, 2014, 36(8): 1453-1459.
[4]
Shin Jong-woo, Lee Young-jun, and Kim Hyoung-nam. Reduced-complexity maximum liklihood direction-of-arrival estimation based on spatial aliasing[J]. IEEE Transactions on Signal Processing, 2014, 62(24): 6568-6581.
Wang Ding, Wang Chao, and Wu Ying. Analysis of the effects of the amplitude-phase errors on spatial spectrum and resolving performance of the MUSIC algorithm[J]. Journal on Communications, 2010, 31(4): 55-63.
[6]
Kim Jung-tai, Yang Hyun-jong, Jung Byung-wook, et al.. Blind calibration for a linear array with gain and phase error using independent component analysis[J]. IEEE Antennas and Wireless Letters, 2010, 9(10): 1259-1262.
[7]
Li You-ming and Er M H. Theoretical analyses of gain and phase error calibration with opimal implementation for linear equispaced array [J]. IEEE Transactions on Signal Processing, 2006, 54(2): 712-723.
[8]
Liu Ai-fei, Liao Gui-sheng, Zeng Cao, et al.. An eigenstructure method for estimating DOA and sensor gain-phase errors[J]. IEEE Transactions on Signal Processing, 2011, 59(12): 5944-5956.
[9]
Cao Sheng-hong, Ye Zhong-fu, Xu Dong-yang, et al.. A hadamard product based method for DOA estimation and gain-phase error calibration[J]. IEEE Transactions on Aerospace and Electronic Systems, 2013, 49(2): 1224-1233.
[10]
Ng Boon-poh, Lie Joni-polili, Er Meng-hwa, et al.. A practical simple geometry and gain/phase calibration technique for antenna array processing[J]. IEEE Transactions on Antennas and Propagation, 2009, 59(7): 1963-1972.
[11]
Jiang Jia-jia, Duan Fa-jie, Chen Jin, et al.. Two new estimation algorithms for sensor gain and phase errors based on different data models[J]. IEEE Sensors Journal, 2013, 13(5): 1921-1930.
Liu Hong-ming, He Zi-shu, Xia Wei, et al.. Estimation of direction of arrival based on MSWF without reference signal[J]. Acta Electronica Sinica, 2010, 38(9): 1979-1983.
Liang Guo-long, Zhang Ke, An Shao-jun, et al.. Fast subspace DOA estimation algorithm based on acoustic vector sensor array[J]. Journal of Harbin Institute of Technology, 2014, 46(7): 76-80.
Wang Rong-liang, Chen Hui, Peng Ying-ning, et al.. Spatial Spectrum Estimation Theory and Algorithm[M]. Beijing: Tsinghua University Press, 2004: 430-432.
Huang Lei, Wu Shun-jun, and Zhang Lin-rang. Signal subspace fitting based on the multi-stage wiener filter[J]. Journal of Electronics & Information Technology, 2005, 27(8): 1197-1200.
