As the beamforming of Nonuniform Linear Array (NLA) may occur grating lobes phenomenon, a beamforming method is proposed for working on the NLA with consecutive difference coarray. Firstly, this method analyzes the array optimization of the NLA based on consecutive difference coarray. Additionally, it can be concluded that the consecutive difference coarray is corresponding to the consecutive wavepath difference, which is applied to reconstruct the Toeplitz covariance matrix of the NLA. According to the Least Constraint Mean Variance (LCMV) rule, the reconstructed covariance matrix can directly be used for robust adaptive beamforming. Due to the similarity between the reconstructed covariance matrix and the covariance matrix of Uniform Linear Array (ULA) with the same aperture, the phase ambiguity will not happen and the grating lobes phenomenon will not occur. Extensive simulations show the robust effectiveness of the proposed method.
黄岩,廖桂生,李军,李婕. 基于连续差联合阵列的非等距线阵无模糊波束形成方法[J]. 电子与信息学报, 2015, 37(12): 2891-2897.
Huang Yan, Liao Gui-sheng, Li Jun, Li Jie. Non-ambiguity Beamforming of Nonuniform Linear Array Based on Consecutive Difference Coarray. JEIT, 2015, 37(12): 2891-2897.
Xu Yan-hong, Shi Xiao-wei, Xu Jing-wei, Li Ping, et al.. Robust Beamforming Based on Response Vector Optimization for Conformal Array[J]. Journal of Electronics & Information Technology, 2014, 36(9): 2220-2226.
Yang Tao, Su Tao, He Xue-hui, et al.. Robust Adaptive Beamforming Based on Beamspace Steering Vector Estimation [J]. Journal of Electronics & Information Technology, 2013, 35(11): 2758-2763.
Yang Zhi-wei, He Shun, Liao Gui-sheng, et al.. Adaptive Beam-forming Algorithm with Subspace Reconstructing[J]. Journal of Electronics & Information Technology, 2012, 34(5): 1115-1119.
[4]
Wang X, Aboutanios E, Trinkle M, et al.. Reconfigurable adaptive array beamforming by antenna selection[J]. IEEE Transactions on Signal Processing, 2014, 62(9): 2385-2396.
[5]
Wang X, Aboutanios E, and Amin M G. Thinned array beampattern synthesis by iterative soft-thresholding-based optimization algorithms[J]. IEEE Transactions on Antennas and Propagation, 2014, 62(12): 6102-6113.
[6]
Friedlander B. On transmit beamforming for MIMO radar[J]. IEEE Transactions on Aerospace and Electronic Systems,
20
12, 48(10): 3376-3388.
[7]
Hua G and Abeysekera S S. MIMO radar transmit beampattern design with ripple and transition band control [J]. IEEE Transactions on Signal Processing, 2013, 61(11): 2963-2974.
[8]
Tang Y, Ma X, Sheng W, et al.. Transmit beamforming for DOA estimation based on Cramer-Rao bound optimization in subarray MIMO radar[J]. Signal Processing, 2014, 101(2): 42-51.
[9]
Hoctor R T and Kassam S A. The unifying role of the coarray in aperture synthesis for coherent and incoherent and imaging[J]. Proceedings of the IEEE, 1990, 12(10): 735-752.
[10]
Pal P and Vaidyanathan P P. Nested arrays: a novel approach to array processing with enhanced degrees of freedom[J]. IEEE Transactions on Signal Processing, 2010, 58(8): 4167-4181.
[11]
Moffet A. Minimum-redundancy linear arrays[J]. IEEE Transactions on Antennas and Propagation, 1968, 16(8): 172-175.
[12]
Kischner A, Siart U, Guetlein J, et al.. A design-algorithm for MIMO radar antenna setups with minimum redundancy[C]. 2013 IEEE International Conference on Microwaves, Communications, Antennas and Electronics Systems (COMCAS 2013), Tel Aviv, Israel, 2013: 1-5.
[13]
Friedlander B and Weiss A J. Detection finding using spatial smoothing with interpolated arrays[J]. IEEE Transactions on Aerospace and Electronic Systems, 1992, 28(8): 574-587.
[14]
Ma W K, Hsieh T H, and Chi C Y. DOA estimation of quasi-stationary signals via Khatri-Rao subspace[C]. Proceedings of International Conference on Acoustics, Speech, and Signal Processing (ICASSP), Taipei, 2009: 2165-2168.
[15]
Capon J. High-resolution frequency-wavenumber spectrum analysis[J]. Proceedings of the IEEE, 1969, 57(8): 1408-1418.