标题： 单位圆MVDR波束成形器 显示英文标题

标题： Unit circle MVDR beamformer

摘要： 数组多项式是使用均匀线性阵列（ULA）的窄带平面波波束成形器的阵列权重的z变换。 在复平面上的单位圆上评估数组多项式会得到波束形成图。 多项式在单位圆上的零点位置指示了波束形成图的零点。 对于使用ULA测量的平面波信号，集合MVDR多项式的零点位置被限制在单位圆上。 然而，样本矩阵逆（SMI）MVDR多项式的零点通常不在单位圆上。 提出的单位圆MVDR（UC MVDR）将SMI MVDR多项式的零点径向投影到单位圆上。 这满足了集合MVDR多项式零点的约束条件。 数值仿真表明，UC MVDR波束成形器比SMI MVDR和对角加载MVDR波束成形器更好地抑制干扰信号，并且还提高了白噪声增益（WNG）。 显示英文摘要

摘要： The array polynomial is the z-transform of the array weights for a narrowband planewave beamformer using a uniform linear array (ULA). Evaluating the array polynomial on the unit circle in the complex plane yields the beampattern. The locations of the polynomial zeros on the unit circle indicate the nulls of the beampattern. For planewave signals measured with a ULA, the locations of the ensemble MVDR polynomial zeros are constrained on the unit circle. However, sample matrix inversion (SMI) MVDR polynomial zeros generally do not fall on the unit circle. The proposed unit circle MVDR (UC MVDR) projects the zeros of the SMI MVDR polynomial radially on the unit circle. This satisfies the constraint on the zeros of ensemble MVDR polynomial. Numerical simulations show that the UC MVDR beamformer suppresses interferers better than the SMI MVDR and the diagonal loaded MVDR beamformer and also improves the white noise gain (WNG).