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Blind separation of convolutive mixtures using second and fourth order moments

机译:使用二阶和四阶矩盲分离卷积混合物

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This paper deals with the problem of blind identification of p-non Gaussian inputs, q-outputs AR systems in the special case where p>q. In this case, the identification problem is degenerated, therefore as the classical Levinson (Robinson) algorithm cannot be applied, we use the Inouye's (1983) method. As this procedure assumes that the AR model is normalized, it is necessary to split the problem in two parts: first, we estimate the convolutive mixture by means of linear prediction, and second, we estimate the instantaneous mixture. The first one requires second order moments and the second one, high order statistics. Numerical simulations are presented to show the influence of the conditioning of the instantaneous mixture matrix in the identification problem in presence of white Gaussian noise.
机译:在p> q的特殊情况下,本文解决了p-非高斯输入,q-输出AR系统的盲识别问题。在这种情况下,识别问题会退化,因此由于无法应用经典的Levinson(Robinson)算法,我们使用Inouye(1983)方法。由于此过程假定AR模型已归一化,因此有必要将问题分为两部分:首先,我们通过线性预测估算卷积混合,其次,我们估算瞬时混合。第一个需要二阶矩,第二个需要高阶统计量。数值模拟表明在存在高斯白噪声的情况下,瞬时混合矩阵的条件对识别问题的影响。

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