In wireless communications, channel state information (CSI) refers to known channel properties of a communication link. This information describes how a signal propagates from the transmitter to the receiver and represents the combined effect of, for example, scattering, fading, and power decay with distance. The CSI makes it possible to adapt transmissions to current channel conditions, which is crucial for achieving reliable communication with high data rates in multiantenna systems.
Fundamentally the Shannon-Hartley theorem links the channel capacity with SNR or CNR of the same channel, as an informational parameter. Of course there are electrical parameters describing, additionally, channel's proprieties.
I think maybe you have it backwards. Noise is one variable included in channel state information. Also interference, also attenuation (as a function of range), and the type of multipath encountered.
So as you can see, noise is one aspect, and fading is another, which means that the SNR at the receiver will definitely be affected by channel state information.
So in short:
SNR varies depending on channel state information!
Once you have determined SNR at the receiver, then, given the bandwidth of the channel, Shannon's equation will give you the best theoretical capacity of that channel, in b/s.
If you estimate the channel state using pilot/training signals, then the relative estimation error (normalized mean-squared error) is smaller the larger the SNR is. So it is easier to estimate the channel if you have a high SNR.
Channel state information (CSI) is basically calculated using the pilot signals used during transmission and compared with the received pilot signals, while the SNR reflects the strength of the transmitted signal in respect of the channel noise.
That is why Block types Pilots are less preferred as they don't give accurate results of the CSI, Instead Comb types pilots are preferred as they can accurately estimate the CSI
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