A source enumeration method based on diagonal loading of eigenvalues and constructing second-order statistics is proposed,for the case that the antenna array observed signals are overlapped with spatial colored noise,...A source enumeration method based on diagonal loading of eigenvalues and constructing second-order statistics is proposed,for the case that the antenna array observed signals are overlapped with spatial colored noise,and the number of antennas compared with the number of snapshots meet the requirement of general asymptotic regime.Firstly,the sample covariance matrix of the observed signals is obtained,the eigenvalues of the sample covariance matrix can be acquired by eigenvalue decomposition,and the eigenvalues are diagonally loaded,and a new formula for calculating the diagonal loading is presented.Based on the diagonal loaded eigenvalues,the difference values are calculated for the adjacent eigenvalues after diagonal loading,and the statistical variance of the difference values is calculated.On this basis,the second-order statistics of the difference values are constructed,and when the second-order statistics are minimized,the corresponding number of sources is estimated.The proposed method has wide applicability,which is suitable for both general asymptotic regime and classical asymptotic system,and is suitable for both white Gaussian noise environment and colored noise environment.The method makes up for the lack of source enumeration methods in the case of general asymptotic system and colored noise.展开更多
为解决现有信源数目估计方法对不同特性信号的适应性普遍较差的问题,提出了一种均匀线性阵列下基于传感器输出信号相关函数构成的Hankel矩阵的奇异值分解的信源数目估计方法。该方法利用把传感器输出信号相关函数中未知噪声方差项排除的...为解决现有信源数目估计方法对不同特性信号的适应性普遍较差的问题,提出了一种均匀线性阵列下基于传感器输出信号相关函数构成的Hankel矩阵的奇异值分解的信源数目估计方法。该方法利用把传感器输出信号相关函数中未知噪声方差项排除的Hankel矩阵的一般形式在信号独立,混合和相干的情况下均能进行信源数目估计,且信源数目估计能力超过传感器数目的一半。仿真实验结果表明,该方法信源数目估计的正确概率(PCEs:Probabilities of Correct Enumeration)的分布特征具有不变性,且相较于基于空间平滑技术的信号源数目估计方法具有更稳定的估计性能和更宽的阈值范围。展开更多
基金supported by the Natural Science Foundation of China(61801480)。
文摘A source enumeration method based on diagonal loading of eigenvalues and constructing second-order statistics is proposed,for the case that the antenna array observed signals are overlapped with spatial colored noise,and the number of antennas compared with the number of snapshots meet the requirement of general asymptotic regime.Firstly,the sample covariance matrix of the observed signals is obtained,the eigenvalues of the sample covariance matrix can be acquired by eigenvalue decomposition,and the eigenvalues are diagonally loaded,and a new formula for calculating the diagonal loading is presented.Based on the diagonal loaded eigenvalues,the difference values are calculated for the adjacent eigenvalues after diagonal loading,and the statistical variance of the difference values is calculated.On this basis,the second-order statistics of the difference values are constructed,and when the second-order statistics are minimized,the corresponding number of sources is estimated.The proposed method has wide applicability,which is suitable for both general asymptotic regime and classical asymptotic system,and is suitable for both white Gaussian noise environment and colored noise environment.The method makes up for the lack of source enumeration methods in the case of general asymptotic system and colored noise.
文摘为解决现有信源数目估计方法对不同特性信号的适应性普遍较差的问题,提出了一种均匀线性阵列下基于传感器输出信号相关函数构成的Hankel矩阵的奇异值分解的信源数目估计方法。该方法利用把传感器输出信号相关函数中未知噪声方差项排除的Hankel矩阵的一般形式在信号独立,混合和相干的情况下均能进行信源数目估计,且信源数目估计能力超过传感器数目的一半。仿真实验结果表明,该方法信源数目估计的正确概率(PCEs:Probabilities of Correct Enumeration)的分布特征具有不变性,且相较于基于空间平滑技术的信号源数目估计方法具有更稳定的估计性能和更宽的阈值范围。
