四元数模型声矢量阵子空间旋转不变方位估计

传统的声矢量阵子空间旋转不变(ESPRIT)方位估计算法没有利用矢量水听器各输出分量之间的正交特性,对相关声源的估计精度和分辨能力较差,针对此问题,提出了一种基于四元数的二维声矢量阵EP-SIRT算法。首先将矢量水听器的声压和振速输出表示为四元数形式;然后将传统的ESPRIT算法推广至四元数数域,得到目标的方位估计结果。对算法的运算量和方位估计性能进行的仿真说明:与传统的EPSIRT算法相比,四元数域EPSIRT算法运算复杂度更低,对相干信号的估计精度和空间分辨能力更强。

Quaternion ESPRIT DOA Algorithm of Vector Hydrophone Array

The traditional ESPRIT algorithm based on 2-D vector hydrophone array is of low accuracy and resolution when the sources are coherent.In response to this situation,an ESPRIT algorithm of 2-D vector hydrophone array based on quaternion algebra was proposed.Firstly,the pressure and velocity output of the vector hydrophone array was expressed in quaternions.Then,the ESPRIT algorithm was expanded to the quaternion field and the DOA estimating result was obtained;Analysis and simulations results proved that,compared with the traditional ESRPIT algorithm,the proposed one had a lower computational complexity and higher DOA estimating accuracy and higher resolution.