声矢量锥形阵的高阶累积量波达方向估计

为解决信源在较低信噪比情况下的测向分辨率问题,提出阵列可扩展的声矢量锥形阵测向算法。算法基于四阶累积量的阵列扩展和高斯噪声抑制特性,计算声矢量传声器不同输出分量的四阶累积量,使其在三维方向上扩展与原阵型结构相同的虚拟阵,从而构造包含角度信息的旋转不变矩阵进行测向。推导给出了算法的克拉美罗界,理论分析了算法性能受信噪比、采样快拍以及入射声源俯仰角的影响。仿真实验验证了该算法较常规声矢量阵ESPRIT算法有更优的噪声抑制能力及更高分辨的DOA估计性能。

Direction-of-arrival estimation algorithm of pyramid-shaped acoustic vector sensor array based on higher-order cumulants

In order to solve the direction-finding resolution problem of multi-sources in the low Signal-to-Noise Ratio(SNR)a virtual ESPRIT algorithm for a pyramid-shaped acoustic vector sensor array is proposed.Based on the array expansion and the Gaussian noise suppression of the fourth-order cumulants,the proposed algorithm calculates the fourth-order cumulants of different output componerits of the acoustic vector sensor,which is equivalent to put a virtual array with the same structure as the original array in the three-dimensional direction.By doing so,one can construct a rotation invariant matrix that includes angular information for direction-finding.By studying the Cramer-Rao Bound of the proposed algorithm,we show its performance is affected by the Signal-to-Noise Ratio(SNR),the number of snapshots and the elevation of the source.The simulation results show that the proposed algorithm has better noise suppression capability and higher resolution Direction-Of-Arrival(DOA)estimation performance than the traditional ESPRIT algorithm with acoustic vector sensor array.