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岩矿光谱由多种矿物光谱混合而成,解译岩矿光谱能够得到岩矿的组分信息,且该方法具有快速、方便、不损坏样品的特点。经验模态分解(empirical mode decomposition,EMD)不能直接分离出混合信号中的源信号,独立成分分析(independent component analysis,ICA)要求混合信号数目不小于其所包括的源信号数目。将EMD和ICA两种方法相融合,首先用EMD分解混合信号得到本征模态函数(intrinsic mode function,IMF),再选择一定数目的IMF与混合信号一起组成ICA的输入数据矩阵,经过ICA运算可以获取单一混合信号中的源信号信息,克服了EMD和ICA两种方法各自的缺陷。研究表明,综合应用EMD和ICA方法可以获取单一混合信号中的源信号信息,混合信号中源信号含量越大,得到的源信号近似值越理想。参与ICA分离的IMF数目决定了分离得到的源信号近似值的数目,并且选择的IMF与混合信号相关系数越大,得到的源信号近似值越理想。运用该方法定量分析岩矿光谱,可以获取组成岩矿的矿物信息,比较适用于野外作业岩矿的快速分析鉴定及成分初步分析。
Rock and mine spectroscopy is a mixture of a variety of mineral spectra. Interpreting rock and rock spectra can provide information about the composition of rock and rock, and the method is fast, easy and does not damage the sample. Empirical mode decomposition (EMD) can not directly separate the source signal from the mixed signal. Independent component analysis (ICA) requires that the number of mixed signals be no less than the number of source signals it contains. Combining the EMD and ICA methods, EMD decomposes the mixed signal to obtain an intrinsic mode function (IMF), and then selects a certain number of IMFs to form an input data matrix of the ICA together with the mixed signal. After ICA operation Can obtain the source signal information in a single mixed signal, and overcome the respective defects of the two methods of EMD and ICA. The results show that the EMD and ICA methods can obtain the source signal information of a single mixed signal. The greater the source signal content in the mixed signal, the better the approximation of the source signal is obtained. The number of IMFs involved in ICA separation determines the number of source signal approximations that are separated, and the larger the correlation coefficient between the IMF and the mixed signal is, the better the approximation of the source signal is obtained. By using this method to quantitatively analyze the rock mineral spectra, the mineralogical information of the rocks and rocks can be obtained, which is more suitable for the rapid analysis, identification and compositional analysis of the field rock and mine.