Measurements and Modeling of the Nonlinear Behavior of a Guitar Pickup at Low Frequencies †
Source abstract
Abstract
Description of the physical behavior of electric guitars is still not very widespread in the scientific literature. In particular, the physical models describing a nonlinear behavior of pickups still requires some refinements. The study presented in this paper is focused on nonlinear modeling of the pickups. Two main issues are raised. First, is the currently most used nonlinear model (a Hammerstein model) sufficient for the complex nonlinear behavior of the pickup? In other words, would a more complex model, such as a Generalized Hammerstein that can deal better with the nonlinear memory, yield better results? The second troublesome issue is how to measure the nonlinear behavior of a pickup correctly. A specific experimental set-up allowing for driving the pickup in a controlled way (string displacement perpendicular to the pickup) and to separate the nonlinear model of the pickup from other nonlinearities in the measurement chain is proposed. Thanks to this experimental set-up, a Generalized Hammerstein model of the pickup is estimated for frequency range 15–500 Hz and the results are compared with a simple Hammerstein model. A comparison with experimental results shows that both models succeed in describing the pickup when used in realistic conditions.
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Research context
OpenAlex topics: Music Technology and Sound Studies · Structural Health Monitoring Techniques · Vibration and Dynamic Analysis
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Laboratoire d’Acoustique de l’Université du Maine, UMR CNRS 6613, Le Mans 72085, France
References (46)
Show source-provided references
1. Physical modeling synthesis update10.2307/3681331 ↗
2. Discrete-time modelling of musical instruments
3. Physical Modeling of Plucked String Instruments with Application to Real-Time Sound Synthesis
4. Methods for modeling realistic playing in acoustic guitar synthesis10.1162/014892601753189529 ↗
5. Player–instrument interaction models for digital waveguide synthesis of guitar: Touch and collisions10.1109/TASL.2009.2038822 ↗
6. Virtual air guitar
7. Karjalainen, M., Penttinen, H., and Valimaki, V. (2000, January 5–9). Acoustic sound from the electric guitar using DSP techniques. Proceedings of the 2000 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP’00), Istanbul, Turkey.
8. Predicting the decay time of solid body electric guitar tones10.1121/1.4871360 ↗
9. Numerical modeling of collisions in musical instruments10.3813/AAA.918813 ↗
10. Hunter, D. (2008). The Guitar Pickup Handbook: The Start of Your Sound, Hal Leonard Corporation.
11. Modeling the magnetic pickup of an electric guitar10.1119/1.2990663 ↗
12. Acoustics and modeling of pickups
13. Remaggi, L., Gabrielli, L., de Paiva, R., Välimäki, V., and Squartini, S. (2012, January 17–21). A pickup model for the Clavinet. Proceedings of the 15th International Conference on Digital Audio Effects (DAFx-12), York, UK.
14. Falaize, A., and Hélie, T. (December, January 30). Guaranteed-passive simulation of an electro-mechanical piano: A port-Hamiltonian approach. Proceedings of the 18th International Conference on Digital Audio Effects (DAFx-15), Trondheim, Norway.
15. Passive simulation of the nonlinear port-Hamiltonian modeling of a Rhodes Piano10.1016/j.jsv.2016.11.008 ↗
16. Nonlinear system identification using exponential swept-sine signal10.1109/TIM.2009.2031836 ↗
17. Identification of cascade of Hammerstein models for the description of nonlinearities in vibrating devices10.1016/j.jsv.2010.09.012 ↗
18. The emulation of nonlinear time-invariant audio systems with memory by means of Volterra series
19. Pearson, R.K. (1999). Discrete-Time Dynamic Models, Oxford University Press.10.1093/oso/9780195121988.001.0001 ↗
20. Schetzen, M. (1980). The Volterra and Wiener Theories of Nonlinear Systems, John Wiley & Sons.
21. Rugh, W.J. (1981). Nonlinear System Theory, Johns Hopkins University Press.
22. Eichas, F., Möller, S., and Zölzer, U. (December, January 30). Block-Oriented Modeling of Distortion Audio Effects Using Iterative minimization External Link. Proceedings of the 18th International Conference on Digital Audio Effects (DAFx-15), Trondheim, Norway.
23. Yeh, D.T., Abel, J.S., and Smith, J.O. (2007, January 10–15). Simplified, physically-informed models of distortion and overdrive guitar effects pedals. Proceedings of the 10th International Conference on Digital Audio Effects (DAFx-07), Bordeaux, France.
24. Eichas, F., Fink, M., Holters, M., and Zölzer, U. (2014, January 1–5). Physical Modeling of the MXR Phase 90 Guitar Effect Pedal. Proceedings of the 17th International Conference on Digital Audio Effects (DAFx-14), Erlangen, Germany.
25. Modeling of the nonlinear response of an electrodynamic loudspeaker by a Volterra series expansion
26. Agerkvist, F.T. (2010, January 4–7). Volterra Series Based Distortion Effect. Proceedings of the AES 120th Convention, San Francisco, CA, USA.
27. A new method for the identification of Hammerstein model
28. Blind identification of second order Hammerstein series10.1016/S0165-1684(02)00393-6 ↗
29. Identification of MIMO Hammerstein systems using cardinal spline functions10.1016/j.jprocont.2006.01.004 ↗
30. Volterra series and state transformation for real-time simulations of audio circuits including saturations: Application to the Moog ladder filter10.1109/TASL.2009.2035211 ↗
31. Parallel-cascade realizations and approximations of truncated Volterra systems10.1109/78.720388 ↗
32. Identification of a parametric loudspeaker system using an adaptive Volterra filter10.1016/j.apacoust.2012.03.007 ↗
33. A modified Volterra series approach for nonlinear dynamic systems modeling10.1109/TCSI.2002.801239 ↗
34. Novak, A., Simon, L., Lotton, P., and Gilbert, J. (2010, January 6–10). Chebyshev model and synchronized swept sine method in nonlinear audio effect modeling. Proceedings of the 13th International Conference on Digital Audio Effects (DAFx-10), Graz, Austria.
35. Oksanen, S., and Välimäki, V. (2011, January 19–23). Modeling of the carbon microphone nonlinearity for a vintage telephone sound effect. Proceedings of the 14th International Conference on Digital Audio Effects (DAFx-11), Paris, France.
36. Bank, B. (2011, January 13–16). Computationally Efficient Nonlinear Chebyshev Models Using Common-Pole Parallel Filters with the Application to Loudspeaker Modeling. Proceedings of the AES 130th Convention, London, UK.
37. Synchronized Swept-Sine: Theory, Application, and Implementation10.17743/jaes.2015.0071 ↗
38. Farina, A., Bellini, A., and Armelloni, E. (2001, January 12–15). Non-Linear Convolution: A New Approach for the Auralization of Distorting Systems. Proceedings of the AES 110th Convention, Amsterdam, The Netherlands.
39. Mustonen, M., Kartofelev, D., Stulov, A., and Välimäki, V. (2014, January 7–12). Experimental verification of pickup nonlinearity. Proceedings of the International Symposium on Musical Acoustics (ISMA 2014), Le Mans, France.
40. Lotton, P., Lihoreau, B., and Brasseur, E. (2014, January 7–12). Experimental Study of a Guitar Pickup. Proceedings of the International Symposium on Musical Acoustics (ISMA 2014), Le Mans, France.
41. Nonparametric identification of nonlinear systems in series10.1109/TIM.2014.2303552 ↗
42. Plucked guitar transients: Comparison of measurements and synthesis
43. Pàmies-Vilà, M., Kubilay, I.A., Kartofelev, D., Mustonen, M., Stulov, A., and Välimäki, V. (2014, January 2–4). High-speed linecamera measurements of a vibrating string. Proceedings of the Baltic-Nordic Acoustic Meeting (BNAM), Tallinn, Estonia.
44. Pakarinen, J., and Karjalainen, M. (2003, January 6–9). An apparatus for measuring string vibration using electric field sensing. Proceedings of the Stockholm Music Acoustics Conference, Stockholm, Sweden.
45. Kotus, J., Szczuko, P., Szczodrak, M., and Czyżewski, A. (2015, January 23–25). Application of fast cameras to string vibrations recording. Proceedings of the IEEE Signal Processing: Algorithms, Architectures, Arrangements, and Applications (SPA), Poznań, Poland.10.1109/SPA.2015.7365142 ↗
46. Novak, A., Guadagnin, L., Lihoreau, B., Lotton, P., Brasseur, E., and Simon, L. (2016, January 5–9). Non-Linear Identification of an Electric Guitar Pickup. Proceedings of the 19th International Conference on Digital Audio Effects (DAFx-16), Brno, Czech Republic.