Devlaminck V, Terrier P, Charbois J M
LAGIS – FRE CNRS 3303 Université Lille 1, Sciences et Technologies – 59655 France.
Opt Express. 2011 Oct 24;19(22):21665-72. doi: 10.1364/OE.19.021665.
In this work, an alternative route to analyze a set of coherency matrices associated to a medium is addressed by means of the Independent Component Analysis (ICA) technique. We highlight the possibility of extracting an underlying structure of the medium in relation to a model of constituent components. The medium is considered as a mixture of unknown constituent components weighted by unknown but statistically independent random coefficients of thickness. The ICA technique can determine the number of components necessary to characterize a set of sample of the medium. An estimate of the value of these components and their respective weights is also determined. Analysis of random matrices generated by multiplying random diattenuators and depolarizers is presented to illustrate the proposed approach and demonstrate its capabilities.
在这项工作中，通过独立成分分析（ICA）技术探讨了一种分析与介质相关的一组相干矩阵的替代途径。我们强调了提取与组成成分模型相关的介质潜在结构的可能性。该介质被视为由未知的组成成分混合而成，这些成分由未知但统计独立的厚度随机系数加权。ICA技术可以确定表征介质样本集所需的成分数量。还确定了这些成分的值及其各自权重的估计值。给出了通过将随机衰减器和去偏振器相乘生成的随机矩阵的分析，以说明所提出的方法并展示其能力。
