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D. Arfib, "Digital Synthesis of Complex Spectra by Means of Multiplication of Nonlinear Distorted Sine Waves," J. Audio Eng. Soc., vol. 27, no. 10, pp. 757-768, (1979 October.). doi: D. Arfib, "Digital Synthesis of Complex Spectra by Means of Multiplication of Nonlinear Distorted Sine Waves," J. Audio Eng. Soc., vol. 27 Issue 10 pp. 757-768, (1979 October.). doi:
Abstract: A technique for the synthesis of complex dynamic spectra is described. The first step in the synthesis method is to distort sine waves with nonlinear transfer functions. The resulting specra depend upon the input amplitudes and the nature of the distortions. By multiplying one such distorted source by another one obtains a spectrum that is the convolution of the spectra of the distorted sine waves. By varying the amplitudes of the input sine waves one can produce complex spectral evolutions. Harmonic as well as inharmonic spectra can be produced, and control over the formant structure is provided. With one distorted and one pure wave, results similar to those of Chowing;s frequency-modulated technique are produced. With several distorted signals very complex spectral evolutions are possible. Various implementations will be discussed using a computer or special-purpose digital device.

@article{arfib1979digital,
author={arfib, daniel},
journal={journal of the audio engineering society},
title={digital synthesis of complex spectra by means of multiplication of nonlinear distorted sine waves},
year={1979},
volume={27},
number={10},
pages={757-768},
doi={},
month={october},} @article{arfib1979digital,
author={arfib, daniel},
journal={journal of the audio engineering society},
title={digital synthesis of complex spectra by means of multiplication of nonlinear distorted sine waves},
year={1979},
volume={27},
number={10},
pages={757-768},
doi={},
month={october},
abstract={a technique for the synthesis of complex dynamic spectra is described. the first step in the synthesis method is to distort sine waves with nonlinear transfer functions. the resulting specra depend upon the input amplitudes and the nature of the distortions. by multiplying one such distorted source by another one obtains a spectrum that is the convolution of the spectra of the distorted sine waves. by varying the amplitudes of the input sine waves one can produce complex spectral evolutions. harmonic as well as inharmonic spectra can be produced, and control over the formant structure is provided. with one distorted and one pure wave, results similar to those of chowing;s frequency-modulated technique are produced. with several distorted signals very complex spectral evolutions are possible. various implementations will be discussed using a computer or special-purpose digital device.},}

TY - paper
TI - Digital Synthesis of Complex Spectra by Means of Multiplication of Nonlinear Distorted Sine Waves
SP - 757 EP - 768
AU - Arfib, Daniel
PY - 1979
JO - Journal of the Audio Engineering Society
IS - 10
VO - 27
VL - 27
Y1 - October 1979 TY - paper
TI - Digital Synthesis of Complex Spectra by Means of Multiplication of Nonlinear Distorted Sine Waves
SP - 757 EP - 768
AU - Arfib, Daniel
PY - 1979
JO - Journal of the Audio Engineering Society
IS - 10
VO - 27
VL - 27
Y1 - October 1979
AB - A technique for the synthesis of complex dynamic spectra is described. The first step in the synthesis method is to distort sine waves with nonlinear transfer functions. The resulting specra depend upon the input amplitudes and the nature of the distortions. By multiplying one such distorted source by another one obtains a spectrum that is the convolution of the spectra of the distorted sine waves. By varying the amplitudes of the input sine waves one can produce complex spectral evolutions. Harmonic as well as inharmonic spectra can be produced, and control over the formant structure is provided. With one distorted and one pure wave, results similar to those of Chowing;s frequency-modulated technique are produced. With several distorted signals very complex spectral evolutions are possible. Various implementations will be discussed using a computer or special-purpose digital device.