基于方向性模糊C-means与K-means的混合矩阵估计方法

Mixing Matrix Estimation Based on Directional Fuzzy C-means and K-means

  • 摘要: 在信源数目未知的欠定盲源分离问题中,精确地估计混合矩阵是具有挑战性的问题。针对现有方法在病态条件下(某些混合向量的方向接近)不能准确估计信源数目、易受离群点干扰的不足,提出了一种基于方向性模糊C-means与K-means的混合矩阵估计方法。该方法首先通过方向性模糊C-means对观测信号进行预聚类,通过预聚类可以实现:1) 根据聚类有效性指标值的收敛点确定信源数目;2)根据隶属度矩阵排除离群点;3)确定K-means的初始聚类点。最后使用K-means并利用预聚类确定的信源数目及初始聚类点实现混合矩阵估计。仿真结果表明提出的方法具有更优的混合矩阵估计性能。

     

    Abstract: In underdetermined blind source separation with unknown number of sources, it is a challenging problem to estimate the mixing matrix precisely. Two major drawbacks of existing methods are that they cannot estimate the number of sources correctly under ill-conditioned conditions (namely, the directions of some mixed vectors are close) and they are susceptible to outliers. To deal with these issues, a mixing matrix estimation method based on directional fuzzy C-means (DFCM) and K-means is proposed. First, the observation signals are pre-clustered by DFCM, such that we can: 1) determine the number of sources by the convergence point of the clustering validity index; 2) eliminate outliers according to the membership matrix; 3) determine the initial clustering points of K-means. Finally, K-means is used to achieve mixing matrix estimation based on the pre-determined number of sources and the initial clustering points. The simulation results suggest that the proposed method has superior performance of mixing matrix estimation.

     

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