Even-odd symmetric computation in a polyphonic tone synthesizer

摘要

In a musical instrument having one or more tone generators in which a plurality of data words corresponding to the amplitudes of a corresponding number of evenly spaced reference points defining the waveform of one cycle of an audio signal are transferred sequentially from a note register to a digital-to-analog converter in repetitive cycles at a rate proportional to the pitch of the tone being generated, apparatus is provided for computing the set of data points in the note register from a set of points defining a quarter cycle of the waveform. The calculation of the quarter cycle of data points is divided into two sets. One set is calculated using the odd-numbered harmonics and the other set is caculated using the even-numbered harmonics. The complete waveform is reconstructed from the two sets during the transfer of data to the note registers. By reducing the number of calculated points to one-quarter of a waveform the calculation time is reduced thereby making the instrument capable of faster response to time varying tonal changes.