An upper bound for the directivity index of superdirective acoustic vector sensor arrays.
An upper bound for the directivity index of superdirective acoustic vector sensor arrays.
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DOI：
10.1121/1.4967209
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发表时间：
2016-11
期刊：
影响因子：
--
通讯作者：
Xijing Guo;S. Miron;Yixin Yang;Shie Yang
中科院分区：
文献类型：
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作者：
Xijing Guo;S. Miron;Yixin Yang;Shie Yang
给出了两种超指向性声矢量传感器阵的白色噪声增益（WNG）的近似解析表达式，揭示了WNG和指向性指数（DI）之间的折衷对方向图综合的最高阶模态的强烈依赖性。所考虑的阵列是均匀线阵和均匀圆阵。推导了在二维均匀各向同性噪声场中，WNG阵具有高增益的条件。使用该条件，可以导出用于图案合成的模式的最高阶的上界，并且因此可以确定最大DI。所呈现的结果并不严格限于本文所考虑的两种阵列几何形状，并且可以扩展到其他超定向声学阵列设计。
Approximate analytical expressions of the white noise gain (WNG) for two superdirective acoustic vector sensor arrays are provided, which disclose the strong dependence of the tradeoff between the WNG and the directivity index (DI) on the highest order of the modes for the pattern synthesis. The considered arrays are a uniform linear array and a uniform circular array. A condition on the WNG that ensures a high array gain in the two-dimensional homogeneous and isotropic noise field is deduced. Using this condition, an upper bound on the highest order of the modes for the pattern synthesis can be derived, and hence the maximum DI can be determined. The presented results are not strictly limited to the two array geometries considered herein, and can be extended to other superdirective acoustic array designs.