That's not the only way to transmit information with radio waves. What's wrong with this: To send binary data, you could either send the pure signal (1), or you could not send any signal at all (0). As long as the clock cycles of the sender and receiver are the same, it should work (eg: 100MHz).
Given that this isn't the way it works, there must be some major flaw with it.
When you do a Fourrier transform of a signal of finite time, you notice that there's more than the fundamental frequency. Basically, when you cut off a signal, then resume it, over and over, then that signal ceases to be of only one frequency.
Given that this isn't the way it works, there must be some major flaw with it.