the best pre emphasis for MMSE equalizer
welcome.
As MMSE estimators are unbiased, try reducing Cramér–Rao bound and maybe your MMSE equalizer can achieve a better performance. Note that in general the MMSE estimator is known to be asymptotically efficient.
Note also that you must specify criteria before say something is &quot;optimal&quot;. Even so, it is usually not easy to prove the optimality.