Tallinn University of Technology
Department of Cybernetics
Laboratory of Solid Mechanics

Title Experimental verification of pickup nonlinearity
Authors Mirko Mustonen, Dmitri Kartofelev, Anatoli Stulov
Centre for Nonlinear Studies, Institute of Cybernetics at Tallinn University of Technology, Tallinn, Estonia
Vesa Välimäki
Aalto University, School of Electrical Engineering, Department of Signal Processing and Acoustics, Espoo, Finland
Abstract In this study the nonlinear mapping between the string displacement and a resulting magnetic pickup signal (magnetic flux) is studied experimentally. The presented experimental results are obtained by using a novel optical measuring technique based on the application of the line scan camera. The measurements of the string vibrations are carried out both for the vertical and horizontal planes relative to the pickup, and for different initial plucking conditions. This allows to reconstruct the vibrational motion of a single point of the string in a plane that is perpendicular to the direction of the string at rest. It is confirmed that the mapping between the string displacement and a pickup signal is nonlinear indeed, and it is responsible for enhancement of the high frequency harmonic content of the produced timbre. Also, the difference of the nonlinear mapping between the string position and a pickup signal for the vertical and horizontal string displacements is discussed.
Status The presentation was presented at the ISMA 2014 conference. The conference was hosted by the University of Maine, Le Mans, France on July 7–12, 2014.

Presentation slides
Experimental verification of pickup nonlinearity
Slides of the presentation given at the ISMA 2014 conference:
Slides: Slides.pdf
Paper published in the conference proceedings:
Paper: Paper.pdf

Acknowledgments
The work of D. Kartofelev, M. Mustonen and A. Stulov was supported by the EU through the European Regional Development Fund, and by the Estonian Ministry of Education and Research (SF0140077s08). The authors are grateful to the Aalto University funding scheme for infrastructure. Conference travel expenses of the first author where financed by Doctoral Studies and Internationalisation Programme DoRa T8 (Archimedes Foundation, Estonia). Special thanks goes to Aigar Vaigu (Metrology Research Group at Aalto University, Espoo, Finland), Julian Parker (current affiliation: Native Instruments, Berlin, Germany), and Heidi-Maria Lehtonen (current affiliation: Dolby Laboratories, Stockholm, Sweden) for their advice and help with the design and construction of the experimental equipment.




Experimental verification of pickup nonlinearity