MMSE of X given PDF

1. How do you calculate MMSE?
2. How do I find the smallest MSE?
3. What is MMSE channel estimation?
4. Is MMSE the same as MSE?

How do you calculate MMSE?

The MSE of the linear MMSE is given by E[(X−XL)2]=E[˜X2]=(1−ρ2)Var(X).

How do I find the smallest MSE?

One way of finding a point estimate ˆx=g(y) is to find a function g(Y) that minimizes the mean squared error (MSE). Here, we show that g(y)=E[X|Y=y] has the lowest MSE among all possible estimators.

What is MMSE channel estimation?

The minimum mean-square error (MMSE) channel estimation has well performance but higher complexity than least-square (LS) channel estimation, specially it requires the channel statistical properties including the channel autocorrelation matrix and the noise variance.

Is MMSE the same as MSE?

The MSE is not to be confused with the Mini-Mental State Examination (MMSE), which is a brief neuropsychological screening test for cognitive impairment and suspected dementia. However, the MMSE can be used for more detailed testing in the cognitive section of this MSE.