Waveshaping

Waveshaping is known by several alternative names, including 'non-linear distortion' and 'non-linear processing'. Jean-Claude Risset is credited with the first use of the technique, in 1969, though the principle technical papers on the technique were published independently ten years later, by Daniel Arfib, James Beauchamp, and Marc Lebrun.

Recalling the structure of the basic wavetable, and assuming that it contains a sine wave, the regular increment of the instantaneous phase can be represented by a straight line. This line is the 'transfer function' applied to the wavetable. Complex timbral modification can be created by simple means, and this modification can be made amplitude-sensitive and thus reflect the behaviour of acoustic instrumental sounds. The transfer function can be drawn empirically, or it can be calculated by mathematical formulae which give precise control of the harmonics arising from the waveshaping process. (Source - Richard Dobson (1992). A Dictionary of Electronic and Computer Music Technology. Oxford University Press.)

Distorsion non-linéaire (Waveshaping)

Le waveshaping est connu à travers différents noms dont celui de distorsion non-linéaire ou de processus non-linéaires. Jean-Claude Risset est le premier à avoir utilisé cette technique en 1969. Toutefois, le principe technique a été décrit dix ans plus tard dans un article par Daniel Arfib, James Beauchamp et Marc Lebrun.

Rappel sur la structure de base d'une wavetable : en supposant qu'elle contienne une onde sinusoïdale, l'incrément régulier de la valeur instantanée de la phase peut être représenté par une ligne droite. Cette ligne est la fonction de transfert appliquée à la wavetable. La modification complexe du timbre peut être réalisée d'une manière simple et cette modification peut être sensible à l'amplitude et ainsi refléter le comportement des sons d'instruments acoustiques. La fonction de transfert peut être dessinée d'une manière empirique ou être calculée par une formule mathématique qui donne un contrôle précis des harmoniques résultantes du processus de distorsion non-linéaire. (Source - Richard Dobson (1992). A Dictionary of Electronic and Computer Music Technology. Oxford University Press.)

Waveshaping (Distorsione Non Lineare)

Tecnica conosciuta anche come “elaborazione non lineare”. Jean-Claude Risset è stato il primo ad aver utilizzato questa tecnica nel 1969. Tuttavia, il principio è stato descritto solo dieci anni più tardi in un articolo di Daniel Arfib, James Beauchamp e Marc Lebrun.

Ricordando la struttura di base di una tabella d'onda (wavetable) e supponendo che essa contenga un'onda sinusoidale, l'incremento regolare della fase istantanea può essere rappresentato con una linea diritta. Tale linea è la funzione di trasferimento applicata alla tabella d'onda. Modificazioni di timbro complesse possono essere create con mezzi semplici, e questa modifica può essere sensibile all'ampiezza e riflettere così il comportamento dei suoni degli strumenti acustici. La funzione di trasferimento può essere disegnata in maniera empirica o può essere calcolata da una formula matematica che controlla precisamente le armoniche che risultano dal processo di distorsione non-lineare (Fonte - Richard Dobson (1992). A Dictionary of Electronic and Computer Music Technology. Oxford University Press).

Waveshaping

Waveshaping is known by several alternative names, including 'non-linear distortion' and 'non-linear processing'. Jean-Claude Risset is credited with the first use of the technique, in 1969, though the principle technical papers on the technique were published independently ten years later, by Daniel Arfib, James Beauchamp, and Marc Lebrun.

Recalling the structure of the basic wavetable, and assuming that it contains a sine wave, the regular increment of the instantaneous phase can be represented by a straight line. This line is the 'transfer function' applied to the wavetable. Complex timbral modification can be created by simple means, and this modification can be made amplitude-sensitive and thus reflect the behaviour of acoustic instrumental sounds. The transfer function can be drawn empirically, or it can be calculated by mathematical formulae which give precise control of the harmonics arising from the waveshaping process. (Source - Richard Dobson (1992). A Dictionary of Electronic and Computer Music Technology. Oxford University Press.)

Waveshaping (Modelado de Onda)

El Modelado de Onda (Waveshaping) es conocido por varios otros nombres alternativos, incluyendo "distorsión no lineal" y "procesamiento no lineal". Jean-Claude Risset es reconocido como el primero en haber utilizado esta técnica, en 1969, aunque las principales ponencias técnicas sobre el Modelado de Onda fueron publicadas -independientemente- diez años más tarde por Daniel Arfib, James Beauchamp y Marc Lebrun.

Tal como sucede en la estructura de una tabla de ondas básica, y asumiendo que la misma contiene una onda sinusoidal, el aumento regular (del ángulo) de la fase instantánea puede ser representado por una línea recta. Esta línea es la "función transferencia" aplicada a la tabla de ondas. Modificaciones tímbricas complejas pueden ser creadas con medios simples, y esta modificación puede ser hecha sensible a la amplitud y de ese modo reflejar el comportamiento de sonidos de instrumentos acústicos. La función transferencia puede ser dibujada empiricamente, o puede ser calculada con formulas matemáticas dando un control preciso de los armónicos que surgen del proceso de modelado de la onda.

(Fuente: Richard Dobson (1992). A Dictionary of Electronic and Computer Music Technology. Oxford University Press)

References