Abstract: A waveform synthesizer includes a data memory, an address manager, an interface and a pulse generator. The data memory has a pulse-width value storage for storing values obtained from sampling a low frequency periodic waveform at a high sampling rate. These values stored in the storage can be scaled in response to a requested magnitude by a scaler within the data memory, thereby generating a look-up table with a series of addresses. The address manager includes an address generator and an address incrementer. The address generator generates address codes for accessing the look-up table through the series of addresses. The address incrementer then adjusts the magnitude of the address increments in response to requested frequency input from the interface. The address increments are proportional to the frequency so that when the requested frequency is high, the address increments are large and more addresses are skipped over between retrieve operations.