While brainstorming, I thought of a potential implementation. The signals would oscillations 180 degrees out of phase to represent zero and one instead of yes oscillation/no oscillation.

Another brainstorming idea is to make the power supply oscillate at twice the speed of the data's oscillation. Most probably the polarity of the supply wouldn't go from + to - . Instead it would be offset from zero by a volt or two. For example, Peak to peak might between 1V and 4V.