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Digital Synthesis of Complex Spectra by Means of Multiplication of Non Linear Distorted Sine Waves

A technic for the synthesis of complex dynamic spectra is described. The first step in the synthesis method is to distort sine waves, with non-linear transfer functions. The resulting spectra 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 in harmonic spectra can be produced and control over the formant structure is provided with one distorted and one pure waves results similar to those of Chowning's FM-technic are produced. With several distorted signals very complex spectral evolutions are possible. Various implementations will be discussed using a computer analog or special purpose digital devices.

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