论文标题
分解方法和CAPON的方法在实验空气中进行随机源鉴定
The factorization method and Capon's method for random source identification in experimental aeroacoustics
论文作者
论文摘要
实验气声与声音源功率分布的估计有关，例如，这是由麦克风阵列阵列的测量值测量相关的声压波动的尺度飞机模型上的流体结构相互作用引起的。在频域中，可以将空气声音传播建模为对流的Helmholtz方程的随机源问题。本文涉及从观察到的压力信号的相关性中恢复不相关的气声源的支持的反随机源问题。我们表明，可以将反散射理论分解方法的变体用于此目的。我们还讨论了从实验空气声学中的分解方法与常用的光束算法之间的惊人关系，该算法被称为CAPON方法或最小方差方法。数值示例说明了我们的理论发现。
Experimental aeroacoustics is concerned with the estimation of acoustic source power distributions, which are for instance caused by fluid structure interactions on scaled aircraft models inside a wind tunnel, from microphone array measurements of associated sound pressure fluctuations. In the frequency domain aeroacoustic sound propagation can be modelled as a random source problem for a convected Helmholtz equation. This article is concerned with the inverse random source problem to recover the support of an uncorrelated aeroacoustic source from correlations of observed pressure signals. We show that a variant of the factorization method from inverse scattering theory can be used for this purpose. We also discuss a surprising relation between the factorization method and a commonly used beamforming algorithm from experimental aeroacoustics, which is known as Capon's method or as the minimum variance method. Numerical examples illustrate our theoretical findings.
