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> Logically speaking, if the wavelength that we use for forms of radio communication make it to earth, then we would need to transmit at a higher power to overcome that background noise.

If this were true, GPS wouldn't work. It's entirely possible to communicate below the noise floor. See https://www.pa3fwm.nl/technotes/tn09b.html for a mathematical analysis.



Your link is talking about reception strength. What are the powers at transmit?




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