comparison between frequency offset estimators I have been working frequency offset estimation in OFDM. The objective was to compare different frequency offset estimation techniques. By using MATLAB, I have simulated three different estimation techniques, namely: 


By using Pilot tones
Using phase difference between two repetitive symbols (proposed by Moose)
and by using a blind method (Cyclic Prefix)
The comparison between these methods is done by simulating the mean square error (MSE), and below is the output figure 



However, my supervisor highly recommended to do the comparison between the CFO estimation methods using another parameter rather than the MSE(without suggesting another way). Therefore, I would like to request from the respected members to suggest me alternatives that I can do the comparison.

I hope that I'm not violating the rules of this forum by asking this general question.
Well, since you simulate you could calculate the residual frequency offset which is basically the remaining CFO after correction or the difference between the true CFO and the estimated CFO.

Another thing that is often done is to give the resulting Bit Error Rate with different estimators.

But really, please ask your supervisor what he has in mind. Everything else is guessing and probably wasted time.