基于二维AHC-DMR滤波增强的信源数估计方法

    Source Number Estimation Method Based on Two-dimensional AHC-DMR Filter Enhancement

    • 摘要: 针对复杂环境和小快拍数条件下大多数信源数估计方法性能下降的问题,提出了一种基于二维主模抑制白化滤波器和凝聚式层次聚类的信源数估计方法。首先,通过一种增强协方差矩阵的处理方法,对信号协方差矩阵进行重组,并进一步提取信号信息,把原本信号特征值进行替换处理。其次,利用一种局部密度的处理方法以及对特征值增强处理,将一维样本特征映射到二维平面,从而实现维度的增加。最后,聚焦噪声子空间的特征值的分布情况,利用重构后噪声特征值相较于重构前噪声特征值的分布程度更密集的特性,通过凝聚式层次聚类算法计算出每一个特征值的分类簇,以最小距离为簇间相似度的准则对信源数进行分类,得到改进后的信源数估计方法。仿真结果表明:所提方法在白噪声环境下,估计性能更优,且对快拍数不敏感,同时在色噪声环境下也能较好地估计信源数。在快拍数实验中,所提方法估计性能更优,在小快拍数条件下,所提方法估计准确率能达到90%以上,且具备估计稳定性。

       

      Abstract: Aiming at the performance degradation of most source number estimation algorithms under the condition of complex environment and small number of snapshots, a source number estimation method based on two-dimensional dominant mode rejection (DMR) whitening filter and agglomerative hierarchical clustering (AHC) is proposed. Firstly, the signal covariance matrix is reorganized by means of a method of enhancing the covariance matrix, and the signal information is further extracted to replace the orig- inal signal eigenvalues of original signal. Secondly, the one-dimensional sample features are mapped to a two-dimensional plane using a local density method and enhancing the eigenvalues, so as to achieve dimensionality increase. Finally, each eigenvalue is calculated by an AHC algorithm, while focusing on the distribution of the eigenvalues of the noise subspace, and noticing the fact that the distribution of the reconstructed noise eigenvalues is denser than that of the pre-reconstructed noise eigenvalues; and an improved algorithm for estimating the types of information sources is obtained by classifying the latter, using the minimum distance as the criterion for describing the intra-cluster similarity. The simulation results show that the proposed algorithm exhibits better estimation performance in the white noise environment, and is not sensitive to the number of snapshots; meanwhile, it can also better estimate the type of sources in the color noise environment. In the snapshot experiment, the proposed algorithm has better estimation performance, reaching an estimation accuracy of more than 90 % while maintaining estimation stability under the condition of small snapshots.

       

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