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Starting from the waveguide model for plucked strings, a new digital signal processing model for the slapping technique on electric bass guitars is derived. The model includes amplitude limitations for the string at the frets and/or the fingerboard. These highly nonlinear elements are realized by conditional reflections which depend on the local string displacement. A model of the string dynamics for the two slapbass techniques-knocking the string with the thumb knuckle and plucking very strong with the index or middle finger-has been implemented both as MATLAB and C simulations and synthesizes sounds close to the natural instrument.
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