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- W1964617871 abstract "When a sinusoid is distorted by a nonlinear function, a complex tone is produced. An nth degree polynomial nonlinear function produces an output waveform containing n harmonics. Moreover, when the amplitude of the input sine wave changes, the harmonic structure of the output changes in a way which can be predicted from the polynomial coefficients. Also, the coefficients can be set to provide any arbitrary magnitude spectrum when the sine wave has a particular amplitude, say unity. Generally, the spectral centroid, a measure of the spectral bandwidth, increases monotonically as the input amplitude increases. This possibility is enhanced by placing a high-pass filter at the output. An acoustic instrument sound can be imitated by (1) performing time-variant harmonic analysis on it, (2) selecting a representative spectrum from it to determine the polynomial coefficients, (3) measuring the sound’s time-varying spectral centroid and rms amplitude, and (4) coercing the sine wave amplitude to change so that the spectral centroid of the output matches that of the original sound. The amplitude of the original sound is matched by a multiplier at the nonlinear output. This method has been successfully used to synthesize instruments such as the trumpet, saxophone, clarinet, oboe, and piano." @default.
- W1964617871 created "2016-06-24" @default.
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- W1964617871 date "1998-05-01" @default.
- W1964617871 modified "2023-09-24" @default.
- W1964617871 title "Musical instrument synthesis by nonregenerative nonlinear processing" @default.
- W1964617871 doi "https://doi.org/10.1121/1.422610" @default.
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