1. A method of synthesizing speech from pitch prototype waveforms by time-synchronous waveform interpolation, comprising the steps of: extracting at least one pitch prototype per frame from a signal; applying a phase shift to the extracted pitch prototype relative to a previously extracted pitch prototype; upsampling the pitch prototype for each sample point within the frame; constructing a two-dimensional prototype-evolving surface; and re-sampling the two-dimensional surface to create a one-dimensional synthesized signal frame, the re-sampling points being defined by piecewise continuous cubic phase contour functions, the phase contour functions being computed from pitch lags and alignment phase shifts added to the extracted pitch prototype.