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本文讨论在有强点源干扰时的自适应波束成形问题。利用频域上最佳传输函数的表达式,证明了在仅有强点源干扰时,最佳传输函数有一个简单的标准形式。它等于干扰和期望信号的指向性矢量的加权和,其加权系数可以很容易地由解一个线性方程组给出。这个线性方程组的阶数等于强干扰的个数加1。 文中给出系数矩阵的计算方法。本文提出的方法不需要迭代运算,而只需实时地解一个低阶的线性方程组。从而使Widrow提出的自适应波束成形方法大大地简化了。 实际的数值计算说明,用本文提出的方法进行波束成形效果是好的。文中给出了部分例子及计算结果。
This article discusses adaptive beamforming in the presence of strong point sources. Using the expression of the best transfer function in the frequency domain, it is proved that the optimal transfer function has a simple standard form when there is only strong point interference. It is equal to the weighted sum of the directivity vectors of the interfering and desired signals whose weighting coefficients can be easily given by solving a system of linear equations. The order of this linear system of equations is equal to the number of strong disturbances plus one. The paper gives the calculation method of coefficient matrix. The proposed method does not require iterative computation, but only needs to solve a low-order linear equations in real time. So Widrow’s adaptive beamforming method is greatly simplified. The actual numerical calculation shows that the beamforming method proposed in this paper is good. Some examples and calculation results are given in the paper.