采用时-空阵列流形的ESPRIT算法——联合角度-频率估计

ESPRIT-Based Joint Angle-Frequency Estimation Using Spatio-Temporal Array Manifold

考虑入射到天线阵上多个窄带信号源的角度和频率同时估计问题.虽然常规ESPRIT算法是一种快速的一维高分辨率方向估计算法,但不能直接用于信号频率和角度的同时估计.通过构造一种特殊阵列结构,引出时-空阵列流形概念,利用该流形,将ESPRIT算法扩展到时-空二维情形,提出采用时-空阵列流形的联合角度-频率估计算法.该算法不仅给出自动配对的角度-频率估计值,而且其性能随着抽头延迟线数的增加而提高.仿真计算表明,该算法不仅具有很高的分辨率和精度,而且在低信噪比条件下,其性能优于其他现有的方法.

The problem of simultaneously estimating the directions-of-arrival and frequencies of multiple signals arriving at an antenna array was considered. Conventional ESPRIT algorithm is a fast one-dimensional high-resoution direction finding method, but it can not directly be used to estimate frequencies and directions-of-arrival of multiple signals simultaneously. The idea of the spatio-temporal array manifold was introduced by constructing a special array structure. A joint angle-frequency estimation(JAFE) algorithm based on this idea was proposed by extending the ESPRIT algorithm to the spatio-temporal 2-D case. The proposed algorithm provides automatically paired angle and frequency estimates, and moreover its performance improves as the number of the taps attached to each antenna element increases. The simulation results demonstrate that the proposed algorithm exhibits very high resolution and accuracy, and also outperforms the other existing algorithms at low signal-to-noise ratio(SNR).