Abstract: A waveform storage and generating system is disclosed in which at least two waveforms are stored. Values of the first waveform are sequentially read out, and smoothing to eliminate step noise is performed. In order to smoothly shift to reading out the second waveform, one or more transitional waveforms are derived which represent amplitude values between the first and second waveforms. The process of reading out the first, transitional, and second waveforms to provide a smooth transition is referred to as cross-fading. Several embodiments, including a microprocessor oriented system are disclosed.