#### James Crawford

##### Newbie level 3

Let's say that we have a channel with CIR h and additive Gaussian noise n. The transmitted training signal is expressed as a circular matrix S. Thus, the received signal is [Note: Lower-case denotes vectors, upper-case denotes matrices]

y = Sh + n

The estimation of the received signal is

y' = Sh'

Hence, the estimation error is

e = y - y' = y - Sh'

My question is: By appending the received signal with the channel estimation error does this imply channel information is "perfectly known" at the receiver? If not can you please explain to me what is meant by perfect channel information and how exactly I would implement this concept to a simulation.

Any help, comment, suggestion or whatever would be really appreciated .