the best pre emphasis for MMSE equalizer The system consists of multiple low-pass filter and noise, $h_1$, $h_2$, $h_3$, ..., $n_1$, $n_2$, $n_3$, ...
At the transmitter, the power of signal is fixed; and at the receiver, MMSE equalizer is used to minimize the MSE.
My question is that if we can pre-emphasis the signal in the transmitter to improve the overall performance. If the distribution of signal and noise is known, what is the optimal pre-emphasis system?
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.