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A. Franck, and V. Välimäki, "Higher-Order Integrated Wavetable and Sampling Synthesis," J. Audio Eng. Soc., vol. 61, no. 9, pp. 624-636, (2013 September.). doi: A. Franck, and V. Välimäki, "Higher-Order Integrated Wavetable and Sampling Synthesis," J. Audio Eng. Soc., vol. 61 Issue 9 pp. 624-636, (2013 September.). doi:
Abstract: 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.

@article{franck2013higher-order,
author={franck, andreas and välimäki, vesa},
journal={journal of the audio engineering society},
title={higher-order integrated wavetable and sampling synthesis},
year={2013},
volume={61},
number={9},
pages={624-636},
doi={},
month={september},} @article{franck2013higher-order,
author={franck, andreas and välimäki, vesa},
journal={journal of the audio engineering society},
title={higher-order integrated wavetable and sampling synthesis},
year={2013},
volume={61},
number={9},
pages={624-636},
doi={},
month={september},
abstract={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.},}

TY - paper
TI - Higher-Order Integrated Wavetable and Sampling Synthesis
SP - 624 EP - 636
AU - Franck, Andreas
AU - Välimäki, Vesa
PY - 2013
JO - Journal of the Audio Engineering Society
IS - 9
VO - 61
VL - 61
Y1 - September 2013 TY - paper
TI - Higher-Order Integrated Wavetable and Sampling Synthesis
SP - 624 EP - 636
AU - Franck, Andreas
AU - Välimäki, Vesa
PY - 2013
JO - Journal of the Audio Engineering Society
IS - 9
VO - 61
VL - 61
Y1 - September 2013
AB - 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.