A blind source separation method based on diagonalization of correlation matrices and genetic algorithm

Peng Zheng, Yulin Liu, Li Tian, Yuqiang Cao
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Abstract

A new cost function based on diagonalization of the correlation matrices is proposed to measure the independency of output signals in this paper. In order to expand the search space and decrease the cross-correlation among the sub-sources, we propose to perform nonlinear transformation for the cost function. The real coded genetic algorithm is also proposed to search the optimum solution, which can overcome the drawbacks of traditional gradient search technique being likely tend to fall into local minimums. This novel method can be applicable to instantaneous or convolutive mixture models with stationary or non-stationary input signals. Simulation results demonstrate the algorithm not only has fast convergence performance and high accuracy, but also can improve the output SNR greatly.
一种基于相关矩阵对角化和遗传算法的盲源分离方法
本文提出了一种新的基于相关矩阵对角化的代价函数来衡量输出信号的独立性。为了扩大搜索空间,降低子源之间的相互关联,我们提出对代价函数进行非线性变换。提出了实数编码遗传算法来搜索最优解,克服了传统梯度搜索技术容易陷入局部极小值的缺点。该方法适用于具有平稳或非平稳输入信号的瞬时或卷积混合模型。仿真结果表明,该算法不仅收敛速度快、精度高,而且能显著提高输出信噪比。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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