New methods for generating through-zero pulse-width modulation are disclosed. In one approach, a periodic reference signal varies over time over at least one portion of the period. A pulse-width control signal varies linearly with time over at least one portion of the reference signal. The reference signal is compared with the pulse-width control value to produce a first pulse waveform. The value of a function of the control value is subtracted from the first pulse waveform to produce through-zero pulse-width modulation. In another approach, the difference in value between two ramp or sawtooth periodic waveforms is computed to produce a pulse waveform with a time-varying DC offset that varies linearly in time. The time-varying offset-term is retained with the pulse waveform, producing through-zero pulse-width modulation.