基于非圆信号的实值ESPRIT算法

郑春弟; 冯大政; 周祎; 雷革

doi:10.3724/SP.J.1146.2006.00939

基于非圆信号的实值ESPRIT算法

doi: 10.3724/SP.J.1146.2006.00939

郑春弟^{①;冯大政},
冯大政,
周祎,
雷革

基金项目:

国家自然科学基金(60372049)资助课题

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出版历程
- 收稿日期: 2006-06-29
- 修回日期: 2007-01-02
- 刊出日期: 2008-01-19

A Real-Value Algorithm of ESPRIT via Exploitation of Non-circular Sources Property

摘要

摘要: 在信号源为非圆信号的情况下，该文提出了一种实值ESPRIT波达方向(DOA)估计方法。根据非圆信号为实值信号的特点，利用欧拉公式将接收数据转化为正弦和余弦数据，并将其加以拼接，从而虚拟地将阵元个数加倍，然后在此基础上构造一个旋转不变结构来估计波达方向，新算法可以处理的信号个数是传统ESPRIT算法的两倍。由于在实值基础上进行特征值分解，所以该文提出的算法可以有效地将运算量减少到相同维数复值运算量的1/4。仿真实验表明新算法不仅估计精度高而且能够处理的信号个数可大于阵元个数。
- 阵列信号处理; DOA估计; ESPRIT
Abstract: A new ESPRIT-like method is presented to estimate the Direction-Of-Arrival (DOA) of non-circular sources. The basic idea of the real-value algorithm is to use the non-circular sources property of the received signals to get the sine and cosine data. Because the new data are the real-valued sine and cosine data respectively, the proposed algorithm can double the length of data by concatenating the sine and cosine data in tandem, as a result it can improve the performance of the DOA estimation and can resolve two times the number of directions when compared to those conventional ESPRIT-like estimators. More importantly, the computational complexity is reduced in the eigennalysis stage, because it exploits the eigencomposition of a real-valued covariance matrix. The simulation results show that the proposed method is superior in resolving noncoherent signal.

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