The increase in element spacing can increase the aperture of the array and improve its resolution performance. However, phase ambiguity will occur when the array element interval is larger than the minimum half wavelength of the incident signal. The three acoustic velocity components of the acoustic vector are ingeniously constructed into a new kind of quaternions because of the special structure of the acoustic vector sensor array, and the rough estimation of the direction of arrival (DOA) is obtained using the rotation relationship between the subarray steering vectors corresponding to quaternion data. The rough estimate is used to resolve the phase ambiguity of the spatial phase difference between the array elements, and the high-precision DOA estimation of the signal can be obtained. Simulation results show that the method is effective.

中文翻译：

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基于声学矢量传感器的四元数解歧度算法研究

元件间距的增加可以增加阵列的孔径并提高其分辨率性能。然而，当阵列元件间隔大于入射信号的最小半波长时，将发生相位模糊。由于声矢量传感器阵列的特殊结构，将声矢量的三个声速分量巧妙地构造成一种新的四元数，并利用声矢量传感器阵列之间的旋转关系获得了到达方向（DOA）的粗略估计。对应于四元数数据的子阵列操纵向量。粗略估计被用于解决阵列元件之间的空间相位差的相位模糊性，并且可以获得信号的高精度DOA估计。仿真结果表明该方法是有效的。