Abstract: Abstract： The vector sensors can provide more available information， e.g.， acoustic information and polarization information， so the vector sensor arrays outperform the scalar sensor arrays in direction of arrival （DOA） estimation. However， the cost of vector sensor arrays is higher than that of scalar sensor arrays due to the complexity of constructing single vector sensors by itself. To reduce the cost of the vector sensor array， a hybrid sensor array consisting of acoustic vector sensors and scalar sensors is proposed firstly. And then by using the tensor algebra， a third-order data tensor can be obtained from the second-order statistics of the received signal from the proposed array. This tensor model corresponds to a virtual uniform linear array of acoustic vector sensors， allowing the proposed hybrid sensor array to have estimation performance beyond the same number of acoustic vector sensor arrays at a lower cost. Analyses show that a virtual uniform linear array with approximately 2M[22]-M2 acoustic vector sensors can be obtained from the proposed array with M2 acoustic vector sensors and 2M2 scalar sensors. Finally， based on this tensor model， the tensor decomposition can be used to achieve DOA estimation. Under the same array cost， the proposed method outperforms related methods in estimating DOA. Simulation results show the effectiveness of the proposed method.

Key words: 关键词：波达方向估计, 混合传感器阵列, 声矢量传感器, 张量代数