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Joint Matrices Decompositions and Blind Source Separation: A survey of methods, identification, and applications

机译:联合矩阵分解和盲源分离:方法,识别和应用概述

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摘要

Matrix decompositions such as the eigenvalue decomposition (EVD) or the singular value decomposition (SVD) have a long history in ?signal processing. They have been used in spectral analysis, signaloise subspace estimation, principal component analysis (PCA), dimensionality reduction, and whitening in independent component analysis (ICA). Very often, the matrix under consideration is the covariance matrix of some observation signals. However, many other kinds of matrices can be encountered in signal processing problems, such as time-lagged covariance matrices, quadratic spatial time-frequency matrices [21], and matrices of higher-order statistics.
机译:矩阵分解,例如特征值分解(EVD)或奇异值分解(SVD),在信号处理中历史悠久。它们已用于频谱分析,信噪比子空间估计,主成分分析(PCA),降维和独立成分分析(ICA)中的白化。通常,所考虑的矩阵是某些观察信号的协方差矩阵。但是,在信号处理问题中可能会遇到许多其他种类的矩阵,例如时滞协方差矩阵,二次空间时频矩阵[21]和高阶统计矩阵。

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    《IEEE Signal Processing Magazine》 |2014年第3期|34-43|共10页
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