独立分量与因子旋转关系分析

解析独立分量分析和因子分析的基本原理，指出独立分量分析的本质是因子旋转，从理论上证实了Varimax和Onhomax等因子旋转与基于峭度的独立分量估计目标函数条件等价。考虑多种类型源信号的情况，提出了基于Varimax的独立分量估计方法。实验表明，在混合矩阵满足稀疏条件下该方法简单有效。

Analysis of the Relationship between Independent Component and Factor Rotation

The principles of Independent Component Analysis(ICA) and factor analysis are given,and that the essence of ICA is factor rotation is presented.The analyses show that conventional factor rotations such as Varimax and Orthomax are equivalent conditionally to the early kurtosis-based estimate method for ICA presented.A Varimax-based method for ICA is proposed in consideration of all non-Gaussian sources even mixed signals with sub-and super-Gaussian distributions are included.Experimental results show that the novel method is simple and efficient when the mixing matrix is sparse.