A method for generating a bandlimited digital signal, includes generating a sequence of digital samples of a waveform, such as a sawtooth, square, or pulse waveform. The waveform has a discontinuity with a phase within a particular sampling interval. The digital samples in the sequence of digital samples of the waveform around the discontinuity are summed with a set of digital samples of an alias reducing pulse, which is based on the phase and magnitude of the discontinuity. The alias reducing pulse has essentially no DC bias, such as a pulse that is substantially odd symmetric relative to the phase of the discontinuity. The process is used in synthesis of analog synthesizer waveforms, hard sync and other waveform synthesis procedures.