Mmse channel estimation

1. What is MMSE channel estimation?
2. How is MMSE calculated?
3. What is MMSE in wireless communication?
4. How do you find the minimum mean square error?

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.

How is MMSE calculated?

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

What is MMSE in wireless communication?

Multimedia Messaging Service Environment, the servers in a mobile telephony network required for Multimedia Messaging Service messaging.

How do you find the minimum mean square error?

That is why it is called the minimum mean squared error (MMSE) estimate. h(a)=E[(X−a)2]=EX2−2aEX+a2. This is a quadratic function of a, and we can find the minimizing value of a by differentiation: h′(a)=−2EX+2a. Therefore, we conclude the minimizing value of a is a=EX.