基于时频分析的混合矩阵估计方法

Algorithm for mixing matrix estimation Based on Time-Frequency Analysis

  • 摘要: 在盲源分离信号处理中,尤其在欠定条件下(观测信号数目大于源信号数目),精确的估计混合矩阵是具有挑战性的问题。现存部分方法利用信号的稀疏性进行求解,并假设在时域或者时频域中源信号不重叠,然而这类方法在假设条件不满足,即源信号部分重叠情况下随着信号稀疏性降低性能恶化明显。本文针对具有较弱稀疏性的源信号,提出了一种基于时频分析的欠定盲源分离的混合矩阵估计方法。首先,利用源信号时频变换后系数实部与虚部比值的差异性选择单源点;其次,运用经典的聚类方法估计解混合矩阵的各向量。仿真结果表明:提出的方法简易可行并具有较好的估计性能。

     

    Abstract: In blind source separation, to estimate precisely the mixing matrix is a challenging problem, especially with more original source than sensors (i.e., underdetermined case).Most existing algorithms estimate the mixing matrix by using the sparsity of signals in the time-frequency (TF) plane and the assumption that the time-frequency distributions of the input sources do not overlap.However,estimation performance is shown to be limited by the sparsity of signal, especially when the time-frequency distributions of the input sources overlap each other much. In this paper, we proposed a novel algorithm for mixing matrix estimation with less sparsity of the input signal. First, we use the proposed algorithm identifies the single-source-points by comparing the absolute ratio value of the real and imaginary parts of the TF transform coefficient of the mixed signal. Second, the column vectors of mixing matrix will be estimated by clustering algorithm. The proposed algorithm makes a good performance for estimating the mixing matrix and it is simpler than existing algorithm.

     

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