(Me on digital broadcasts being essentially impossible to reverse-engineer...)
(I concur with you here. Also, digital transmission techniques encompass modulation methods which take advantage of digital encoding ... which also then require prior knowledge of these techniques in order to know which channels contain message pertinent information).
Yes. That makes it even worse.
Generally speaking, to date, SETI has assumed that signals capable of being received by us, would also contain messages interpretable by us .. (otherwise their whole investigation would be pointless).
I don't see how it would be pointless. It would still have value in indicating the existence of radio-transmission technology elsewhere in the Universe. In fact, a lot of SETI efforts are not very well-adapted to receiving messages. Efforts like looking for narrowband signals like signals with bandwidths less than 1 Hz. That means a bitrate of less than 1 bit per second.
SETI researchers call what our society emits "leakage radiation", something intended for internal consumption that nevertheless departs into interstellar space. I will show that one needs very large antennas to receive the full signals, as opposed to carrier waves. Let us look at some bandwidths:
- AM broadcastingWP -- 20 kHz
- FM broadcast bandWP -- 150 kHz
- Colour broadcast of television systemsWP -- 8 MHz
Since the broadcast power will be spread over these bandwidths, that will make these signals *very* weak. The amount of telescope area required to observe them scales as the bandwidth:
(telescope area) ~ (bandwidth)
So if one needs some area of telescope to see a carrier signal with bandwidth 1 Hz, one will need 10^4 times that area for AM radio, 10^5 times that size for FM radio, and 10^7 times that area for analog TV.
Let us take the Arecibo 300-m telescope. Scaling up for AM radio gives 30 km, for FM radio gives 100 km, and for analog TV gives 1000 km. One will need a planet-sized antenna to watch our TV broadcasts.
There are other strong signals without much interpretable content, like the output of long-range surveillance radars.
So carrier waves and radar pulses are the leakage-radiation counterpart of what SETI researchers called "beacon signals", signals intended to attract listeners' attention.
Digital transmission would be a poor choice for a direct signal for the all the reasons stated by lpetrich.
For this reason, I just cannot help but go back to Sagan et al and his insistence that prime numbers hold the key to radio first contact with distant civilisations.
I agree. One won't need much transmission time to transmit the first few prime numbers.
The first eight of them are 2, 3, 5, 7, 11, 13, 17, 19. Their total is 77. Adding gaps with size 4 gives a total of 109. So with one pulse per second, one can do a complete transmission in 2 minutes.