Representations of musical signals
Representations of musical signals
Multirate systems and filter banks
Multirate systems and filter banks
Applications of digital signal processing to audio and acoustics
Applications of digital signal processing to audio and acoustics
Musical Signal Processing
A Waveguide Model for Slapbass Synthesis
ICASSP '97 Proceedings of the 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP '97) -Volume 1 - Volume 1
Digital sound synthesis of string instruments with the functional transformation method
Signal Processing - Special section: Hans Wilhelm Schüßler celebrates his 75th birthday
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The functional transformation method (FTM) is a well-established mathematical method for accurate simulations of multidimensional physical systems from various fields of science, including optics, heat and mass transfer, electrical engineering, and acoustics. This paper applies the FTM to real-time simulations of transversal vibrating strings. First, a physical model of a transversal vibrating lossy and dispersive string is derived. Afterwards, this model is solved with the FTM for two cases: the ideally linearly vibrating string and the string interacting nonlinearly with the frets. It is shown that accurate and stable simulations can be achieved with the discretization of the continuous solution at audio rate. Both simulations can also be performed with a multirate approach with only minor degradations of the simulation accuracy but with preservation of stability. This saves almost 80% of the computational cost for the simulation of a six-string guitar and therefore it is in the range of the computational cost for digital waveguide simulations.