I understand Wiener filter is used to reduce noise, Gaussian noise as well, once we give the noise characteristic. One may derive the filter coefficient in adaptive way as well But can it remove noise if the noise is in the same band as the desired signal(EDIT: without loosin in-band energy of the signal)? Is there an such filter which is applicable for in band noise? As per my understanding there is none and is not possible. Edit: The signal is not assumed to be stationary.
Any suggestion, comment please?