基于方向密度检测与霍夫变换的混合矩阵估计

Mixing Matrix Estimation Based on Local Direction Density of Time-Frequency Coefficients and Hough Transform

  • 摘要: 针对欠定盲源分离混合矩阵的估计问题,提出一种基于局部方向密度检测的孤立时频点处理与霍夫变换相结合的混合矩阵估计算法.首先通过变换域单源时频点处理增强信号的稀疏性,对散点图中的方向直线进行霍夫变换,通过判断局部极大值点确定源信号数量并估计混合矩阵.针对霍夫变换易出现的峰值簇拥问题,提出采用局部方向密度检测方法先判别并去除孤立时频点,之后再进行霍夫变换,提高了混合矩阵的估计精度.实验结果表明本文所提出的方法能够在未知源信号数量情况下实现混合矩阵估计,且估计精度高于K-means等常用方法.

     

    Abstract: A mixing matrix estimation method based on local directional density of time-frequency coefficients and Hough transform was proposed for underdetermined blind source separation. The signals were transformed to time-frequency domain by STFT to improve sparsity; and then Hough transform was applied to transform the coefficients of directional line in scatter plot. Mixing matrix estimation was accomplished by determining the numbers of local maximum values and calculating their values. In order to eliminate the peak cluster in Hough transform, a method was proposed, i.e. detecting directional density of time-frequency coefficients to determine these outlier points and then removing them, taking Hough transform again to improve Mixing matrix estimation accuracy. The experiment results show this algorithm can accomplish the source numbers estimation under unknown source numbers, and the mixing matrix estimation accuracy is obviously higher than those normal K-means methods.

     

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