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Kraus's famous classic 'radio astronomy' textbook had some comments about this topic toward the end. If I recall correctly it was a couple light years for analog NTSC. Nice stable transmitter, satellite disciplined carrier freq toward the end, and the doppler as the earth rotates of a zillion signals gives the little green men something interesting to think about. Planetary radar, IF aimed directly at the target, had much better range, but analog NTSC television had much better coverage over the whole sky.

The radio detection of the earth by broadcast analog NTSC TV carriers has already ended. The article author specified it as a million years. We got about fifty instead. If the LGM are watching our analog TV carriers and the SNR is less than 20 dB or so, there is no way they'll see digital as a discrete signal, nor will they likely randomly guess the correct signalling types/codes.

The meta issue is as a species we're really good at thinking our time is special. 100 years ago watching a spectrogram of analog AM video carriers would have been unthinkable futuristic not even rational to discuss, 25 years ago it would have been a pretty good idea, today its ancient nothing but static, no body would do something so anachronistic.

This misbelief in the importance of your time is closely related to one of the funniest atheist arguments, which is so intellectually unthinkable its rarely discussed. Even the slightest gaze on religious history of the species shows that before the birth of a prophet or whatever, people really thought they had it all figured out almost as well as after. Because this mis-design-pattern has repeated itself with pretty much all religions in the past, I'm sure it will happen again in the future, so simply deciding to believe in nothing until the true prophet is born in 100000 years is the most rational decision. In fact over 100000 years we'll probably have about 100 prophets, all of which, however temporarily, being considered the last word in religion... Its sometimes called the patience atheist argument, or a few other things... Why, everyone knows the best and most important and most correct culture to ever exist, in the past, or more importantly in the future, is now, of course.




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