人工蜂群搜索策略优化的欠定混合矩阵估计
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作者单位:

1.广州商学院 鸿蒙研究院 湖南大学 信息科学与工程学院;2.浙江外国语学院国际商学院;3.广州商学院 鸿蒙研究院


Underdetermined mixing matrix estimation based on optimization of artificial bee colony search strategy
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Affiliation:

1.Guangzhou College of Commerce;2.School of International Business, Zhejiang International Studies University;3.Harmony Research Institute, Guangzhou College of Commerce

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    摘要:

    欠定盲源分离是盲信号处理领域的难题,而其中的混合矩阵估计则是决定超完备独立分量分析和欠定盲分离成功与否的关键步骤.为了提高欠定混合矩阵的估计精度,在单源点检测的基础上,提出一种人工蜂群搜索策略优化的线性聚类分析方法.首先,利用短时傅里叶变换将时域中的观测信号变换到时-频域,并做单源点检测以增强信号的线性聚类特性.然后,基于稀疏的时-频信号,通过对蜂群食物源进行矩阵编码以使人工蜂群算法与欠定盲分离问题无缝地契合;将随机性与确定性的搜索策略相结合以协调蜂群的多样性与聚类算法的收敛速度;在蜂群的局部搜索中引入Levy飞行策略,进一步探索当前最优解的邻域以提高聚类的精度.最后,采用人工蜂群算法产生线性聚类的直线方向向量估计混合矩阵的列向量.通过对音频信号的仿真结果说明:本文所提出的改进人工蜂群搜索策略不仅可提供有效的线性聚类分析,而且极大地提高了欠定混合矩阵的估计精度.

    Abstract:

    Underdetermined blind source separation (UBSS) is a difficult problem in the field of blind signal processing, and the mixed matrix estimation is a key step in determining the success or failure of over-complete independent component analysis (ICA) and underdetermined blind separation. In order to improve the estimation accuracy of the underdetermined mixed matrix, a linear clustering analysis method for optimization of artificial bee colony search strategy is proposed based on single-source-point detection. Firstly, the observed signals in the time domain are transformed into the time-frequency domain using short-time Fourier transform (STFT), and single-source-point (SSP) detection is performed to enhance the linear clustering characteristics of the signal. Then, based on sparse time-frequency signals, the bee colony food source is matrix coded to make the artificial bee colony algorithm fit seamlessly with the blind separation problem. Randomness and deterministic search strategies are combined to coordinate the diversity of bee colonies with the convergence rate of clustering algorithm. Levy flight strategy is introduced into the local search of bee colonies to further explore the neighborhood of the current optimal solution to improve the clustering accuracy. Finally, the column vectors of the mixed matrix are estimated using the straight line direction vectors of the linear clustering generated by the artificial bee colony algorithm. The simulation results of audio signals show that the improved artificial bee colony search strategy proposed in this paper can not only provide effective linear clustering analysis, but also improve the estimation accuracy of underdetermined mixing matrix.

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何选森,何帆,肖湘萍,薄喜柱.人工蜂群搜索策略优化的欠定混合矩阵估计[J].南京信息工程大学学报,,():

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  • 收稿日期:2024-11-30
  • 最后修改日期:2025-02-18
  • 录用日期:2025-02-28

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