关于幅值平方相干函数(MSCF)

On the Magnitude Squared Coherence Function (MSCF)

首先,理论证明传统的幅值平方相干函数(MSCF),MSCxy(f)=｜Sxy(f)｜2/Sxx(f)Syy(f),等于1,所以不能用于提取任何信息。然后,以定义三个叫做二阶谱的概念为基础,证明了两个关于二阶谱的定理。作为二阶谱定理的推论,提出一类可以识别两信号间的相干性的四型新的MSCF,既有分量型,也有整体型的,而且说明了等于1或0的条件。

At the first, it was theoretically proven that the traditional magnitude-squared coherence function (MSCF), MSCxy(f)=|Sxy(f)|2/Sxx(f)Syy(f), equal to 1, so that it can not be used to extract any information. Then, based on defining three conceptions called as the second order spectrum, two theorems about the second order spectrum were proven. To be the corollaries of the second order spectrum theorems, a kind (four types) of the new MSCF. Which could be used to recognize the coherence between two signals, either in each component or in integral, were proposed, and the conditions which equal 1 or 0, were illuminated.