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Optimized Polynomial Spline Basis Function Design for Quasi-Bandlimited Classical Waveform Synthesis

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4 Author(s)
Pekonen, J. ; Dept. of Signal Process. & Acoust., Aalto Univ., Espoo, Finland ; Nam, J. ; Smith, J.O. ; Valimaki, V.

Classical geometric waveforms used in virtual analog synthesis suffer from aliasing distortion when simple sampling is used. An efficient antialiasing technique is based on expressing the waveforms as a filtered sum of time-shifted approximately bandlimited polynomial-spline basis functions. It is shown that by optimizing the coefficients of the basis function so that the aliasing distortion is perceptually minimized, the alias-free bandwidth of classical waveforms can be expanded. With the best of the case examples given here, the generated impulse-train and sawtooth waveform are alias-free up to fundamental frequencies over 10 kHz when the sampling rate is 44.1 kHz.

Published in:

Signal Processing Letters, IEEE  (Volume:19 ,  Issue: 3 )