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I was looking for a formal proof of the Shannon capacity theorem, which states the condition which is the maximum data rate possible between two wireless channels. I could not find the proof. Does it appear the proof is done experimentally? Is it correct? Any comment would be appreciated.

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    \$\begingroup\$ It's got nothing to do with wireless. \$\endgroup\$
    – Andy aka
    Feb 23, 2022 at 10:30

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It's an application of the Noisy Channel Coding Theorem, proof in wikipedia

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