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 ?
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What kind of channel are you reading about? You need to be more specific because there are so many (different frequencies, over-the-air, wired, underwater, etc.) – Engineer May 23 '20 at 12:07
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These are indeed two different notions. – AlexTP May 23 '20 at 13:02
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@Engineer i am considering over the air channel..... – charu May 23 '20 at 17:30
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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.
Marcus Müller
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can you please tell why some are not circularly symmetric complex gaussian distributed. Also if time varying channel can be rayleigh distributed then why cant they be circularly symmetric complex gaussian distributed.. – charu May 23 '20 at 17:33
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"can you please tell why some are not circularly symmetric complex gaussian distributed." Because they simply aren't. A channel is a physical thing. Not everything in physics is symmetrically Gaussian. – Marcus Müller May 24 '20 at 14:51
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1"why cant they be circularly symmetric complex gaussian distributed" Read my answer closely: They can be. Some channel models imply channels that are, some don't. – Marcus Müller May 24 '20 at 14:52