Analysis and synthesis of coupled vibrating strings using a hybrid modal-waveguide synthesis model

Authors:
Nelson Lee;Julius O. Smith;Vesa Välimäki
Affiliations:
Center for Computer Research in Music and Acoustics, Stanford University, Stanford, CA;Center for Computer Research in Music and Acoustics, Stanford University, Stanford, CA;Center for Computer Research in Music and Acoustics, Stanford University, Stanford, CA and Department of Signal Processing and Acoustics, TKK, Helsinki University of Technology, Espoo, Finland
Venue:
IEEE Transactions on Audio, Speech, and Language Processing - Special issue on virtual analog audio Effects and musical instruments
Year:
2010

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Abstract

The linear coupling of two strings or of a single string vibrating in two orthogonal polarizations leads to two observable phenomena: two-stage decay and beating. In this paper, we present methods for accurately measuring and modeling the lower partials of a recorded guitar tone, where coupling effects are most audible. These estimated parameters are then used for accurate resynthesis in a hybrid modal/waveguide model. We make use of the fact that two-stage decay occurs in analyzed tones to allow direct measurement of sinusoidal decay rates. A traditional iterative optimization algorithm is explored and found to be most effective in the special case when only beating occurs. Sound examples are provided on the Web.