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A Method of Generating and Controlling Musical Asymmetrical Spectra

Using a very simple modification of classical frequency modulation (FM), it is possible to control nicely the sideband asymmetry. The new synthesis formula creates an asymmetric spectrum generalizing the FM spectrum (r=1): : (formula-see printed page): : The mathematical formulas that generate new spectra are developed in detail, and several applications relevant to sound synthesis are carefully examined. A second synthesis formula has also been derived using modified Bessel functions of the first kind. The new algorithms meet satisfactorily the acoustic requirements necessary to generate formants, to control reflected side frequencies, and to achieve selective filtering.

Authors: Palamin, Jean-Pierre; Palamin, Philippe; Ronveaux, André
Affiliations: Studio Equinoxe, 5664 Le Roux, Belgium ; Department of Physics, Facultds Universitaires Notre-Dame de la Paix, 5000 Namur, Belgium(See document for exact affiliation information.)
JAES Volume 36 Issue 9 pp. 671-685; September 1988 Import into BibTeX

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