基于最小敏感度的广义线性自适应波束形成算法
|
摘要
常规最小方差无失真响应波束形成器对于非圆信号是次优的,且当训练样本数有限时,其性能有所下降。针对这一问题,提出了基于最小敏感度的广义线性自适应波束形成算法。算法以期望信号和干扰信号的非圆特性为基础,利用最小敏感度准则求得最优权矢量,提高了波束形成器的稳健性。计算机仿真结果表明,算法在低信噪比和小快拍数的情况下也具有较好的性能。
The conventional minimum variance distortionless response(MVDR)beamformer becomes suboptimal when the signals are noncircular,and performance of the optimal widely linear MVDR beamformer may degrade for finite number of training samples.To circumvent this issue,the minimum sensitivity based widely linear MVDR beamformer is proposed,which utilizes the noncircularity of the signals of interest and the interference signals.The optimal weight vector is derived by using the minimum sensitivity criterion.Simulation results demonstrate that the proposed method has a better performance in the case of low signal-to-noise ratio and snapshot deficiency.
The conventional minimum variance distortionless response(MVDR)beamformer becomes suboptimal when the signals are noncircular,and performance of the optimal widely linear MVDR beamformer may degrade for finite number of training samples.To circumvent this issue,the minimum sensitivity based widely linear MVDR beamformer is proposed,which utilizes the noncircularity of the signals of interest and the interference signals.The optimal weight vector is derived by using the minimum sensitivity criterion.Simulation results demonstrate that the proposed method has a better performance in the case of low signal-to-noise ratio and snapshot deficiency.
引文
[1]王永良,丁前军,李荣锋.自适应阵列处理[M].北京:清华大学出版社,2009:30-34.WANG Y L,DING Q J,LI R F.Adaptive array processing[M].Beijing:Tsinghua University Press,2009:30-34.
[2]CAPON J.High-resolution frequency-wavenumber spectrum analysis[J].Proceedings of IEEE,1969,57(8):1408-1418.
[3]CARLSON B D.Covariance-matrix estimation errors and diagonal loading in adaptive arrays[J].IEEE Trans.on Aerospace and Electronic Systems,1988,24(4):397-401.
[4]LI J,STOICA P,WANG Z S.Doubly constrained robust Capon beamformer[J].IEEE Trans.on Signal Processing,2004,52(9):2407-2423.
[5]PICINBONO B.On circularity[J].IEEE Trans.on Signal Process,1994,42(12):3473-3482.
[6]CHEVALIER P.Optimal array processing for non-stationary signals[C]∥Proc.of the IEEE International Conference on Acoustics,Speech and Signal Processing,1996:2868-2871.
[7]CHEVALIER P,BLIN A.Widely linear MVDR beamformers for the reception of an unknown signal corrupted by noncircular interferences[J].IEEE Trans.on Signal Processing,2007,55(11):5323-5336.
[8]CHEVALIER P,DELMAS J P,OUKACI A.Optimal widely linear MVDR beamforming for noncircular signals[C]∥Proc.of the IEEE International Conference on Acoustics,Speech and Signal Processing,2009:3573-3576.
[9]SHI Y,HUANG L.Optimal eigenspace-based widely linear beamformer for noncircular signals[C]∥Proc.of the 3rd International Conference on Instrumentation,Measurement,Computer,Communication and Control,2013:153-157.
[10]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 Trans.on Signal Processing,2003,51(2):313-324.
[11]ZHANG W,WANG J,WU S.Robust Capon beamforming against large DOA mismatch[J].Signal Processing,2013,93(4):804-810.
[12]RUBSAMEN M,PESAVENTO M.Maximally robust Capon beamformer[J].IEEE Trans.on Signal Processing,2013,61(8):2030-2041.
[13]WANG J,ZHANG W,LIU W.Minimum sensitivity based robust beamforming with eigenspace decomposition[J].Multidimensional Systems&Signal Processing,2016:1-15.
[2]CAPON J.High-resolution frequency-wavenumber spectrum analysis[J].Proceedings of IEEE,1969,57(8):1408-1418.
[3]CARLSON B D.Covariance-matrix estimation errors and diagonal loading in adaptive arrays[J].IEEE Trans.on Aerospace and Electronic Systems,1988,24(4):397-401.
[4]LI J,STOICA P,WANG Z S.Doubly constrained robust Capon beamformer[J].IEEE Trans.on Signal Processing,2004,52(9):2407-2423.
[5]PICINBONO B.On circularity[J].IEEE Trans.on Signal Process,1994,42(12):3473-3482.
[6]CHEVALIER P.Optimal array processing for non-stationary signals[C]∥Proc.of the IEEE International Conference on Acoustics,Speech and Signal Processing,1996:2868-2871.
[7]CHEVALIER P,BLIN A.Widely linear MVDR beamformers for the reception of an unknown signal corrupted by noncircular interferences[J].IEEE Trans.on Signal Processing,2007,55(11):5323-5336.
[8]CHEVALIER P,DELMAS J P,OUKACI A.Optimal widely linear MVDR beamforming for noncircular signals[C]∥Proc.of the IEEE International Conference on Acoustics,Speech and Signal Processing,2009:3573-3576.
[9]SHI Y,HUANG L.Optimal eigenspace-based widely linear beamformer for noncircular signals[C]∥Proc.of the 3rd International Conference on Instrumentation,Measurement,Computer,Communication and Control,2013:153-157.
[10]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 Trans.on Signal Processing,2003,51(2):313-324.
[11]ZHANG W,WANG J,WU S.Robust Capon beamforming against large DOA mismatch[J].Signal Processing,2013,93(4):804-810.
[12]RUBSAMEN M,PESAVENTO M.Maximally robust Capon beamformer[J].IEEE Trans.on Signal Processing,2013,61(8):2030-2041.
[13]WANG J,ZHANG W,LIU W.Minimum sensitivity based robust beamforming with eigenspace decomposition[J].Multidimensional Systems&Signal Processing,2016:1-15.