Abstract: An improved waveform modulation system for converting an input value having a known radix and a predetermined maximum number of digits into a waveform having successive intervals, by separating the input value into a least significant value portion occupying a preselected number of least significant digits and into a most significant value portion occupying a preselected number of most significant digits. For each interval, the system combines the least significant value portion with a residual value to produce a carry for that interval and a successive residual value. The system iteratively generates a waveform with successive intervals each having a duration defined by the preselected number of most significant digits and an underlying pulse width defined by the most significant value portion and modified according to the carry for that interval.