相干分布源DOA与角度扩展估计求根算法

Estimation of DOA and angular spread for coherently distributed sources using polynomials rooting

论文提出了一种具有低复杂度的相干分布源波达方向和角度扩展估计算法。该算法将点源模型中的求根MUSIC算法推广应用至分布源模型。利用空间频率下的相干分布源广义方向矢量可以表示成参数去耦形式的结构特点,并根据相干分布源的角信号密度函数,利用Taylor展开得到参数估计的多项式求根形式,然后通过交替迭代的求根方法得到分布源的中心波达方向和角度扩展的估计值。该算法参数估计性能与DSPE算法相当,其计算复杂度要远小于DSPE算法,并且适用于不同分布类型的相干分布源同时存在的情况。计算机仿真验证了算法的性能。

The paper proposes a low-complexity direction of arrival （DOA） and angular spread estimation algorithm for coherently distributed sources. The proposed algorithm extend Root-MUSIC algorithm of the point sources to the diffuse source localization. According to the decoupled character of the spatial frequency model of generalized steering vector and the deterministic angular weighting function of the coherently sources, the rooting polynomials can be ob- tained utilizing Taylor approximation, and then the nominal DOAs and angular spreads can be estimated by iterative Root-MUSIC-like estimator. Without spectrum searching, the proposed algorithm provides a sufficiently good estima- tion accuracy as well as computational simplicity for estimating the nominal DOAs and angular spread. In addition, it can be applied to the scenario with multiple sources that may have angular distribution shapes. Simulation results illus-trate the performance of the method.