Digital Synthesis of Complex Spectra by Means of Multiplication of Nonlinear Distorted Sine Waves

Arfib D. Digital Synthesis of Complex Spectra by Means of Multiplication of Nonlinear Distorted Sine Waves. J Audio Eng Soc. 1979;27(10):757-768. Available from: https://aes.org/publications/elibrary-page/?id=3178

@article{Arfib1979_3178,
  author = {Arfib, Daniel},
  title = {{Digital Synthesis of Complex Spectra by Means of Multiplication of Nonlinear Distorted Sine Waves}},
  journal = {Journal of the Audio Engineering Society},
  volume = {27},
  number = {10},
  pages = {757--768},
  year = {1979},
  month = oct,
  publisher = {Audio Engineering Society},
  url = {https://aes.org/publications/elibrary-page/?id=3178}
}

TY  - JOUR
TI  - Digital Synthesis of Complex Spectra by Means of Multiplication of Nonlinear Distorted Sine Waves
AU  - Arfib, Daniel
T2  - Journal of the Audio Engineering Society
J2  - J. Audio Eng. Soc.
VL  - 27
IS  - 10
SP  - 757
EP  - 768
PY  - 1979
DA  - 1979/10/06
UR  - https://aes.org/publications/elibrary-page/?id=3178
PB  - Audio Engineering Society
LA  - en
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.
ER  -