Abstract

A mathematical model of an anisotropic acoustic field is constructed based on the multidimensional Poisson process. The relationship between the probabilistic characteristics of the process and the angular density of the acoustic field is established. It is shown that variances and cross-correlation functions of pressure pulsations and oscillatory velocity components depend only on the constant component and coefficients of the first and second harmonics of expansion of the angular density in a Fourier series. The relationship between the anisotropy parameters of the noise field significant for direction finding and the experimentally measured values is found. The relationship between the direction finding results and the anisotropy parameters of the interference field for several algorithms is demonstrated.

中文翻译：

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各向异性干扰场中矢量标量接收机的测向

摘要

基于多维泊松过程，建立了各向异性声场的数学模型。建立过程的概率特性与声场的角密度之间的关系。结果表明，压力脉动和振荡速度分量的方差和互相关函数仅取决于傅里叶级数中角密度扩展的一次谐波和二次谐波的常数和系数。找到了对于方向寻找重要的噪声场的各向异性参数与实验测量值之间的关系。说明了几种算法的测向结果与干涉场各向异性参数之间的关系。