欠定条件下弱稀疏源信号混合矩阵盲估计
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Blind Estimat ion of Mixing Matrix for Little Sparse Sources in Underdetermined Mixtur es
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    摘要:

    针对源信号的稀疏性影响欠定混合矩阵的估计精度, 在源信号单源频率及非单源频率分量分析的基础上,通过对观测信号频率峰值的幅值比值所 构成的列向量聚类,提出欠定条件下弱稀疏源信号混合矩阵的盲估计方法。鉴于经典聚类算 法的局部收敛性带来聚类结果的不稳定性,采用全局收敛特性较好的遗传模拟退火聚类算法 提高聚类结果的鲁棒性。仿真实验表明,本文提出的混合矩阵估计方法及采用的聚类算法 在不同欠定条件及噪声环境下具有较强的估计性能。

    Abstract:

    The estimation accuracy of the mixing matrix is influenced by the sources sparsity in the underdetermined mixtures. Based on the analytical results of th e single and non single frequencies for source signals, through clustering the co l umn vectors composed by the ratios between the observation signal frequency amp litudes, a new method for the mixing matrix estimation is proposed when the sources are little sparse to each other. Considering the non stability brought by the par t ial convergence of the classical clustering algorithm, the genetic and simulated annealing clustering algorithm possessing the global convergence characteristic is u sed to prove the robustness of the clustering result. The experiment results s how that the proposed estimation method and the clustering algorithm can provide good estimation performance under different underdetermined conditions and different noises.

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李宁 陈海庭.欠定条件下弱稀疏源信号混合矩阵盲估计[J].数据采集与处理,2015,30(4):793-801

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  • 在线发布日期: 2015-10-12