基于多项式求根的近场源定位算法

Near-field source localization algorithm based on polynomial rooting

针对阵元数目一定时采用最小冗余对称阵列模型能使阵列间距不局限在四分之一波长的特点,提出了基于多项式求根的近场源定位算法.该算法构建一个特殊四阶累积量矩阵,通过远场求根MUSIC算法估计信号角度;然后分离角度与距离参数,在非均匀阵列基础上采用多项式求根算法估计出距离参数;最后进行了仿真.仿真结果表明,该算法避免了阵列孔径损失,可以估计较多信源;与其他算法相比,该算法具有较高的估计精度和分辨率,且不需进行谱峰搜索,减少了计算复杂度.

Aiming at the characteristic that when the number of sensors is constant,adoption of minimal redundant symmetric array model allows the element spacing not to be limited to a quarter wavelength,this paper proposes a near-field source localization algorithm based on polynomial rooting.In this algorithm,a special fourth-order cumulant matrix is constructed to estimate the signal angle by use of far-field rooting MUSIC algorithm.And then the angle and distance parameters are separated and the distance of sources is estimated by polynomial rooting algorithm on the basis of non-uniform array.Finally,simulation is carried out and the results show that the proposed algorithm avoids array aperture loss and can be used to estimate more sources.Compared with other algorithms,the proposed algorithm has higher estimation precision and resolution,and does not require spectral peak search,thus reducing computational complexity.