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Beamforming by Means of Inverse Variance Weighting

机译:借助方差逆加权进行波束成形

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Conventional beamforming is one of the standard methods for localization and quantification of aeroacoustic sources in wind tunnel testing. It offers a robust indicator for the sound source distribution. The conventional beamformer minimizes the deviation between the synthetic and measured cross correlation matrix with respect to the Frobenius norm. This approach imposes the assumption that the measured cross correlations are superposed with uncorrelated white noise. In real-life applications this idealized noise model is often violated. We consider a slightly relaxed noise model where the noise is still uncorrelated but non-white. Assuming non-white noise we end up with a modified beamformer that minimizes the deviation with respect to a weighted Frobenius norm. The application of this approach on experimental data of a wind tunnel test shows that the resolution and dynamic range of the source maps can be enhanced compared to conventional beamforming.
机译:传统的波束成形是在风洞测试中对航空声源进行定位和量化的标准方法之一。它为声源分配提供了可靠的指标。常规的波束形成器相对于Frobenius范数最小化了合成和测量的互相关矩阵之间的偏差。该方法强加了这样一个假设,即测得的互相关与不相关的白噪声重叠。在实际应用中,通常会违反这种理想化的噪声模型。我们考虑一个稍微放松的噪声模型,其中噪声仍然不相关但不是白噪声。假设非白噪声,我们最终得到了一种经过改进的波束成形器,该波束成形器相对于加权Frobenius范数最小化了偏差。这种方法在风洞试验的实验数据上的应用表明,与传统的波束成形相比,可以提高源图的分辨率和动态范围。

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