非均匀噪声背景下信源数估计算法

Source Number Estimation in the Presence of Nonuniform Noise

  • 摘要: 针对非均匀空间色噪声背景下,基于信息论的信源数估计算法性能将急剧下降的问题,提出了基于修正协方差矩阵的SORTE信源数估计算法。该方法通过构造特殊对角矩阵将非均匀噪声从数据协方差矩阵中剔除,从而克服非均匀噪声对信源数估计的影响;然后利用修正协方差矩阵对应特征值的二阶统计信息,构造SORTE判决函数从而实现信源数估计。仿真结果表明:该方法在非均匀噪声背景下能够实现信源数的一致估计,且在低信噪比、短快拍时仍然具有良好的估计性能。

     

    Abstract: A common approach for solving source number detection problem is to use an information theoretic criterion, such as Minimum Description Length (MDL).The MDL estimator is known to be nonrobust against temporally or spatially white additive noise assumption. In this paper, a source number detection method used in the presence of unknown spatially nonuniform noise is proposed based on noise reduction of array covariancematrix. The source number estimators using eigenvalue-based method, called the second order statistic of eigenvalues (SORTE), is based on a gap measure of the eigenvalues. The modified covariance matrix is obtained by deducting a diagonal matrix composed of the main diagonal elements of the sample data covariance matrix. The detection method is proposed by the second order statistic of eigenvalues associated with the reduced array covariance matrix. The proposed method is a consistent estimator, robust against deviations from spatially white additive noise assumptions, especially in the low signal-to-noise ratio and small samples. Numerical examples are provided to demonstrate effectiveness of the proposed approach.

     

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