This paper links parallel factor(PARAFAC) analysis to the problem of nominal direction-of-arrival(DOA) estimation for coherently distributed(CD) sources and proposes a fast PARAFACbased algorithm by establishing...This paper links parallel factor(PARAFAC) analysis to the problem of nominal direction-of-arrival(DOA) estimation for coherently distributed(CD) sources and proposes a fast PARAFACbased algorithm by establishing the trilinear PARAFAC model.Relying on the uniqueness of the low-rank three-way array decomposition and the trilinear alternating least squares regression, the proposed algorithm achieves nominal DOA estimation and outperforms the conventional estimation of signal parameter via rotational technique CD(ESPRIT-CD) and propagator method CD(PM-CD)methods in terms of estimation accuracy. Furthermore, by means of the initialization via the propagator method, this paper accelerates the convergence procedure of the proposed algorithm with no estimation performance degradation. In addition, the proposed algorithm can be directly applied to the multiple-source scenario,where sources have different angular distribution shapes. Numerical simulation results corroborate the effectiveness and superiority of the proposed fast PARAFAC-based algorithm.展开更多
针对相干信源的波达方向(direction of arrival,DOA)估计问题,传统的空间平滑算法通过减小阵列孔径来解相干,导致估计精度降低。本文以相干分布源为研究对象,首先通过扩展共轭虚拟阵列增大阵列孔径,使用Toeplitz算法进行预估计,根据预...针对相干信源的波达方向(direction of arrival,DOA)估计问题,传统的空间平滑算法通过减小阵列孔径来解相干,导致估计精度降低。本文以相干分布源为研究对象,首先通过扩展共轭虚拟阵列增大阵列孔径,使用Toeplitz算法进行预估计,根据预估计值构建加权矩阵,通过二次加权空间平滑恢复协方差矩阵的秩,消除信号的相干性,结合传播因子算法估计得到目标信源的入射角度。该算法充分利用子阵输出的自相关和互相关信息,改善了阵列孔径带来的精度影响。仿真结果表明,所提算法对相干信源具有良好的分辨能力和估计精度,在低信噪比时鲁棒性较好。展开更多
基金supported by the National Natural Science Foundation of China(6137116961601167)+2 种基金the Jiangsu Natural Science Foundation(BK20161489)the open research fund of State Key Laboratory of Millimeter Waves,Southeast University(K201826)the Fundamental Research Funds for the Central Universities(NE2017103)
文摘This paper links parallel factor(PARAFAC) analysis to the problem of nominal direction-of-arrival(DOA) estimation for coherently distributed(CD) sources and proposes a fast PARAFACbased algorithm by establishing the trilinear PARAFAC model.Relying on the uniqueness of the low-rank three-way array decomposition and the trilinear alternating least squares regression, the proposed algorithm achieves nominal DOA estimation and outperforms the conventional estimation of signal parameter via rotational technique CD(ESPRIT-CD) and propagator method CD(PM-CD)methods in terms of estimation accuracy. Furthermore, by means of the initialization via the propagator method, this paper accelerates the convergence procedure of the proposed algorithm with no estimation performance degradation. In addition, the proposed algorithm can be directly applied to the multiple-source scenario,where sources have different angular distribution shapes. Numerical simulation results corroborate the effectiveness and superiority of the proposed fast PARAFAC-based algorithm.
文摘针对相干信源的波达方向(direction of arrival,DOA)估计问题,传统的空间平滑算法通过减小阵列孔径来解相干,导致估计精度降低。本文以相干分布源为研究对象,首先通过扩展共轭虚拟阵列增大阵列孔径,使用Toeplitz算法进行预估计,根据预估计值构建加权矩阵,通过二次加权空间平滑恢复协方差矩阵的秩,消除信号的相干性,结合传播因子算法估计得到目标信源的入射角度。该算法充分利用子阵输出的自相关和互相关信息,改善了阵列孔径带来的精度影响。仿真结果表明,所提算法对相干信源具有良好的分辨能力和估计精度,在低信噪比时鲁棒性较好。