Essentially all consumer video tape recorders use frequency modulation
for the luminance component of the video signal and demodulation is p
erformed by zero crossing detection. Distortion-free video requires th
at the zero crossings of the frequency modulation waveforms be preserv
ed exactly, In this paper, the complete set of mathematical conditions
for zero-crossing preservation is derived from first principles. Whil
e some of these conditions have been discussed previously, the complet
e set derived here is believed to be novel.