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Parametric Electric Guitar Synthesis
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Abstract |
A complete electric guitar synthesis algorithm based on the digital waveguide-approach was developed incorporating novel techniques and other appropriate improvements. The excitation signal produced by plucking a steel string with a plectrum was measured using a piezoelectric pickup. A parametric excitation model consisting of two parts was then proposed: the first part is a filtered noise burst and the second is composed of a parametric simplified pulse that is reproduced with an integrating filter.
The proposed magnetic pickup model is founded on a special feed-forward comb filter in which a frequency-dependent delay is implemented using an allpass filter. The frequency-dependent delay filter is needed to simulate the dispersive wave propagation on the vibrating steel string which causes the notches of the comb filter to be nonuniformly spaced in frequency.
In addition to the above novelties, an improvement to the waveguide string model was introduced: a time-varying loop gain helps to emulate the two-stage decay of electric guitar tones. The gain variation over time is easily calibrated by smoothing a short-term averaged envelope of the first harmonic. Inharmonicity and beating appearing in electric guitar tones are also accounted for in the proposed synthesis model.
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