Coherence vs. Magnitude Squared Coherence currently I am writing my masther thesis. The theory part is about the turbulent wind field generation, where the coherence (not magnitude squared) is used:

$$\text{coh}(f) = \frac{|P_{xy}|}{\sqrt{P_{xx} P_{yy}}}$$

I am wondering what is the general advantage of using the magnitude squared coherence instead:

$$\text{coh}^2(f) = \frac{|P_{xy}|^2}{P_{xx} P_{yy}}$$

I think this relationship is similar to that of the correlation coefficient $R$ and coefficient of determination $R^2$. I tried to google the difference regarding the coherence, but unfortunately I don't find any (good) explanations.

Hopefully someone can help me. Thanks in advance!

Apollo3zehn
I believe that the calculation of the magnitude squared coherence is faster for computers (multiplication is faster than square root calculations). And that's pretty much it. :P