近场散射环境下的稳健自适应波束形成
|
摘要
针对近场散射效应造成的导向矢量和阵元接收数据不匹配进而使得波束形成性能严重损失这一问题,提出一种新的基于导向矢量不确定集的稳健自适应波束形成算法,将近场散射信号加以利用,提高波束形成输出信噪比.该算法综合考虑了近场散射信号和远场直达波信号,将整体所属的大的不确定集划分成了两个小的分别用来描述远场和近场导向矢量的不确定集,通过参数矩阵变换后的凸优化联合估计出远场信号导向矢量和未知的近场散射系数.仿真实验证明了该算法的正确性和有效性.
Near-field scattering which causes steering vector mismatch with array received data suffers severe performance degradation with beamforming.A new robust adaptive beamforming algorithm based on the steering vector uncertainty set is proposed to utilize the near-field scattering signal to improve the beamforming output signal-to-noise ratio.The properties of the far-field direct-path signal and near-field signal are incorporated.The large uncertainty set is divided into two small ones describing the far-field and near-field steering vectors,respectively.The far-field steering vectors and the near-field scattering coefficient with a transform matrix are evaluated by convex optimization.Simulation examples demonstrate that the algorithm is correct and effective.
Near-field scattering which causes steering vector mismatch with array received data suffers severe performance degradation with beamforming.A new robust adaptive beamforming algorithm based on the steering vector uncertainty set is proposed to utilize the near-field scattering signal to improve the beamforming output signal-to-noise ratio.The properties of the far-field direct-path signal and near-field signal are incorporated.The large uncertainty set is divided into two small ones describing the far-field and near-field steering vectors,respectively.The far-field steering vectors and the near-field scattering coefficient with a transform matrix are evaluated by convex optimization.Simulation examples demonstrate that the algorithm is correct and effective.
引文
[1]SOMASUNDARAM S D,PARSONS N H,LI P,et al.Reduced-dimension Robust Capon Beamforming Using Krylovsubspace Techniques[J].IEEE Transactions on Aerospace and Electronic Systems,2015,51(1):270-289.
[2]BUCRIS Y,COHEN I,DORON M A.Bayesian Focusing for Coherent Wideband Beamforming[J].IEEE Transactions on Audio,Speech,and Language Processing,2012,20(4):1282-1296.
[3]LI Y,MA H,YU D,et al.Iterative Robust Capon Beamforming[J].Signal Processing,2016,118:211-220.
[4]KOUTROUVELIS A I,HENDRIKS R C,HEUSDENS R,et al.Relaxed Binaural LCMV Beamforming[J].IEEE/ACM Transactions on Audio,Speech,and Language Processing,2017,25(1):133-148.
[5]XU J W,LIAO G S,ZHU S Q,et al.Response Vector Constrained Robust LCMV Beamforming Based on Semidefinite Programming[J].IEEE Transactions on Signal Processing,2015,63(21):5720-5732.
[6]VOROBYOV S A,GERSHMAN A B,LUO Z Q.Robust Adaptive Beamforming Using Worst-case Performance Optimization:a Solution to the Signal Mismatch Problem[J].IEEE Transactions on Signal Processing,2003,51(2):313-324.
[7]LI J,STOICA P,WANG Z.On Robust Capon Beamforming and Diagonal Loading[J].IEEE Transactions on Signal Processing,2003,51(7):1702-1715.
[8]HASSANIEN A,VOROBYOV S A,WONG K M.Robust Adaptive Beamforming Using Sequential Quadratic Programming:an Iterative Solution to the Mismatch Problem[J].IEEE Signal Processing Letters,2008,15:733-736.
[9]CAPON J.High-resolution Frequency-wavenumber Spectrum Analysis[J].Proceedings of the IEEE,1969,57(8):1408-1418.
[10]BABU B N S,TORRES J A,GUELLA T P.Impact of Near-field Scattering on Multichannel Airborne Radar Measurements(MCARM)[C]//Proceedings of the IEEE National Radar Conference.Piscataway:IEEE,1997:227-231.
[11]NAQVI A,YANG S T,LING H.Investigation of Doppler Features from Wind Turbine Scattering[J].IEEE Antennas and Wireless Propagation Letters,2010,9:485-488.
[12]虞泓波,冯大政,解虎.采用序列二次规划求解的稳健波束形成新算法[J].西安电子科技大学学报,2016,43(2):41-45,204.YU Hongbo,FENG Dazheng,XIE Hu.Novel Robust Beamforming Algorithm Using Sequential Quadratic Programming[J].Journal of Xidian University,2016,43(2):41-45,204.
[2]BUCRIS Y,COHEN I,DORON M A.Bayesian Focusing for Coherent Wideband Beamforming[J].IEEE Transactions on Audio,Speech,and Language Processing,2012,20(4):1282-1296.
[3]LI Y,MA H,YU D,et al.Iterative Robust Capon Beamforming[J].Signal Processing,2016,118:211-220.
[4]KOUTROUVELIS A I,HENDRIKS R C,HEUSDENS R,et al.Relaxed Binaural LCMV Beamforming[J].IEEE/ACM Transactions on Audio,Speech,and Language Processing,2017,25(1):133-148.
[5]XU J W,LIAO G S,ZHU S Q,et al.Response Vector Constrained Robust LCMV Beamforming Based on Semidefinite Programming[J].IEEE Transactions on Signal Processing,2015,63(21):5720-5732.
[6]VOROBYOV S A,GERSHMAN A B,LUO Z Q.Robust Adaptive Beamforming Using Worst-case Performance Optimization:a Solution to the Signal Mismatch Problem[J].IEEE Transactions on Signal Processing,2003,51(2):313-324.
[7]LI J,STOICA P,WANG Z.On Robust Capon Beamforming and Diagonal Loading[J].IEEE Transactions on Signal Processing,2003,51(7):1702-1715.
[8]HASSANIEN A,VOROBYOV S A,WONG K M.Robust Adaptive Beamforming Using Sequential Quadratic Programming:an Iterative Solution to the Mismatch Problem[J].IEEE Signal Processing Letters,2008,15:733-736.
[9]CAPON J.High-resolution Frequency-wavenumber Spectrum Analysis[J].Proceedings of the IEEE,1969,57(8):1408-1418.
[10]BABU B N S,TORRES J A,GUELLA T P.Impact of Near-field Scattering on Multichannel Airborne Radar Measurements(MCARM)[C]//Proceedings of the IEEE National Radar Conference.Piscataway:IEEE,1997:227-231.
[11]NAQVI A,YANG S T,LING H.Investigation of Doppler Features from Wind Turbine Scattering[J].IEEE Antennas and Wireless Propagation Letters,2010,9:485-488.
[12]虞泓波,冯大政,解虎.采用序列二次规划求解的稳健波束形成新算法[J].西安电子科技大学学报,2016,43(2):41-45,204.YU Hongbo,FENG Dazheng,XIE Hu.Novel Robust Beamforming Algorithm Using Sequential Quadratic Programming[J].Journal of Xidian University,2016,43(2):41-45,204.