Higher-Order Integrated Wavetable and Sampling Synthesis
Wavetable and sampling synthesis enable the playback of arbitrary sounds, including those with a rich harmonic structure, without increasing the computational complexity. Although resampling allows for changing the pitch of a stored sample, there are artifacts. In particular, increasing the pitch is susceptible to disturbing aliasing artifacts. A novel approach to reduce aliasing, which is based on an integrated wavetable and a differentiation of the output signal, has been proposed previously by Geiger. This paper extends Geiger’s method by integrating the waveform multiple times before storing it, and during playback a sample rate conversion method is applied and the output signal is then differentiated as many times as the wavetable has been integrated. With only a minor increase in computational cost, the use of higher-order filtering reduces aliasing more than first-order techniques.
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