Is time varying channels same as circulary symmetric complex gaussian? From the literature i understood that if the channel is non time varying then we can consider it as circularly symmetric complex gaussian distributed. So can we consider the same if the channel is time varying ?
From the literature i understood that if the channel is non time varying then we can consider it as circularly symmetric complex gaussian distributed.


That's plain wrong. Some non-time-variant channels are $\sim\mathcal{CN}$, some aren't.


  So can we consider the same if the channel is time varying ?


No.