基于矢量传感器的高分辨频率估计算法研究

Study of high resolution frequency estimation algorithm using a single vector sensor

基于子空间分解的ESPRIT算法常用在阵列处理中对目标进行DOA估计.如果将空间的位移变成时间的延迟,单个矢量传感器可以实现高分辨率的频率估计.将ESPRIT与矢量传感器相结合,研究了高分辨率频率估计算法,建立了矢量传感器的数据模型,推导了矢量传感器的空时阵列流形,通过对协方差矩阵进行子空间分解,求得目标信号的频率估计值.仿真计算研究了不同信噪比、采样频率和数据长度条件下该算法的性能.结果表明基于矢量传感器的算法比基于声压传感器的算法具有更高的频率估计精确度.

ESPRIT algorithm based on subspace decomposition is usually used to estimate the direction of arrival（DOA） of source in array signal processing. If the space shift invariance is replaced by the time shift invariance, the high resolution frequency estimation can be obtained using a single vector sensor. In this paper, ESPRIT algorithm based on a single vector sensor was studied for high resolution frequency estimation. The data model of a vector sensor was established. Space-time array manifold of a vector sensor was derived. The estimation of frequency of a target signal could be obtained by decomposition of the covariance matrix. The performance at different signal-to-noise ratio, sample frequency and snapshots were tested by simulation. The results indicate that ESPRIT algorithm based on vector sensor can obtain higher resolution frequency estimation than that based on pressure hydrophone.