I'm having trouble visualizing a dilemma:
Consider a sinewave of frequency "19". It is routed to a light bulb through a synchronously reversing DPDT switch that is flipped at a frequency of "1".
Classic Fourier series would reveal that this waveform has a fundamental frequency of zero and a nineteenth harmonic of zero.
Yet the bulb lights.
Why?
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It doesn't matter what the polarity is. Light is generated by the temperature of the filament. The heat doesn't depend on polarity as it is created by the motion of the electrons independent of direction.
As long as there is energy is the waveform it will be transferred and some will be dissipated as heat(unless your dealing with superconductors).
For example, surely 60hz AC lights up bulbs? But 60hz AC has no DC frequency.
What frequencies does your waveform have? Are they all zero? If not then the waveform contains energy and it doesn't matter how it was created. The filament doesn't know how the waveform was created and doesn't care(well, up to a point I guess).