Despite some efforts and attempts have been made to improve the direction-of-arrival(DOA)estimation performance of the standard Capon beamformer(SCB)in array processing,rigorous statistical performance analyses of the...Despite some efforts and attempts have been made to improve the direction-of-arrival(DOA)estimation performance of the standard Capon beamformer(SCB)in array processing,rigorous statistical performance analyses of these modified Capon estimators are still lacking.This paper studies an improved Capon estimator(ICE)for estimating the DOAs of multiple uncorrelated narrowband signals,where the higherorder inverse(sample)array covariance matrix is used in the Capon-like cost function.By establishing the relationship between this nonparametric estimator and the parametric and classic subspace-based MUSIC(multiple signal classification),it is clarified that as long as the power order of the inverse covariance matrix is increased to reduce the influence of signal subspace components in the ICE,the estimation performance of the ICE becomes equivalent to that of the MUSIC regardless of the signal-to-noise ratio(SNR).Furthermore the statistical performance of the ICE is analyzed,and the large-sample mean-squared-error(MSE)expression of the estimated DOA is derived.Finally the effectiveness and the theoretical analysis of the ICE are substantiated through numerical examples,where the Cramer-Rao lower bound(CRB)is used to evaluate the validity of the derived asymptotic MSE expression.展开更多
本文针对波达方向(Direction of Arrival,DOA)估计问题,提出一种基于克罗内克积分解的Capon方法。文中利用克罗内克积分解将空间搜索方向的导向矢量分解为两个短向量,进而将传统Capon空域滤波器系数的估计问题转化为对两个短滤波器系数...本文针对波达方向(Direction of Arrival,DOA)估计问题,提出一种基于克罗内克积分解的Capon方法。文中利用克罗内克积分解将空间搜索方向的导向矢量分解为两个短向量,进而将传统Capon空域滤波器系数的估计问题转化为对两个短滤波器系数的估计问题。此方法大幅降低了待估参数量,所提方法的性能显著优于传统Capon方法。展开更多
提出了面阵中基于降维Capon的二维波达方向(direction of arrival,DOA)估计算法.先求得接受信号的协方差矩阵,再对其变换式进行谱峰搜索估计出一个参数,进而通过最小二乘估计出第2个参数.采用一维全局搜索实现二维DOA的联合估计,可避免...提出了面阵中基于降维Capon的二维波达方向(direction of arrival,DOA)估计算法.先求得接受信号的协方差矩阵,再对其变换式进行谱峰搜索估计出一个参数,进而通过最小二乘估计出第2个参数.采用一维全局搜索实现二维DOA的联合估计,可避免二维Capon算法由二维谱峰搜索带来的巨大计算量,从而大大降低了计算复杂度,且角度估计性能非常接近于二维Capon算法.该算法既可以实现二维角度的自动配对,又可以精确地估计出相同方位角(或仰角)的信源,其优越性均可在文中得到验证.展开更多
基金supported in part by the National Natural Science Foundation of China(62201447)the Project Supported by Natural Science Basic Research Plan in Shaanxi Province of China(2022JQ-640)。
文摘Despite some efforts and attempts have been made to improve the direction-of-arrival(DOA)estimation performance of the standard Capon beamformer(SCB)in array processing,rigorous statistical performance analyses of these modified Capon estimators are still lacking.This paper studies an improved Capon estimator(ICE)for estimating the DOAs of multiple uncorrelated narrowband signals,where the higherorder inverse(sample)array covariance matrix is used in the Capon-like cost function.By establishing the relationship between this nonparametric estimator and the parametric and classic subspace-based MUSIC(multiple signal classification),it is clarified that as long as the power order of the inverse covariance matrix is increased to reduce the influence of signal subspace components in the ICE,the estimation performance of the ICE becomes equivalent to that of the MUSIC regardless of the signal-to-noise ratio(SNR).Furthermore the statistical performance of the ICE is analyzed,and the large-sample mean-squared-error(MSE)expression of the estimated DOA is derived.Finally the effectiveness and the theoretical analysis of the ICE are substantiated through numerical examples,where the Cramer-Rao lower bound(CRB)is used to evaluate the validity of the derived asymptotic MSE expression.
文摘本文针对波达方向(Direction of Arrival,DOA)估计问题,提出一种基于克罗内克积分解的Capon方法。文中利用克罗内克积分解将空间搜索方向的导向矢量分解为两个短向量,进而将传统Capon空域滤波器系数的估计问题转化为对两个短滤波器系数的估计问题。此方法大幅降低了待估参数量,所提方法的性能显著优于传统Capon方法。
文摘提出了面阵中基于降维Capon的二维波达方向(direction of arrival,DOA)估计算法.先求得接受信号的协方差矩阵,再对其变换式进行谱峰搜索估计出一个参数,进而通过最小二乘估计出第2个参数.采用一维全局搜索实现二维DOA的联合估计,可避免二维Capon算法由二维谱峰搜索带来的巨大计算量,从而大大降低了计算复杂度,且角度估计性能非常接近于二维Capon算法.该算法既可以实现二维角度的自动配对,又可以精确地估计出相同方位角(或仰角)的信源,其优越性均可在文中得到验证.
