Numerical methods for simulation of guitar distortion circuits

Computer Music Journal

Volumn 32, Issue 2, 2008, Pages 23-42

  Yeh, David T ^a   Abel, Jonathan S ^a   Vladimirescu, Andrei ^b   Smith, Julius O ^a  

^a STANFORD UNIVERSITY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AUDIO FREQUENCY AMPLIFIERS; DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); DIODES; INTEGRATION; INTERPOLATION; MODEL STRUCTURES; MUSICAL INSTRUMENTS; NETWORKS (CIRCUITS); NUMBER THEORY; NUMERICAL ANALYSIS; NUMERICAL METHODS; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; SOLID STATE DEVICES;

AUDIO AMPLIFIERS; AUDIO PROCESSING; CASE STUDIES; DISTORTION EFFECTS; LOW-PASS; NON LINEARITIES; NUMERICAL INTEGRATION METHODS; REAL TIME; SEMI-IMPLICIT;

ELECTRIC NETWORK ANALYSIS;

EID: 49649089994     PISSN: 01489267     EISSN: 15315169     Source Type: Journal    
DOI: 10.1162/comj.2008.32.2.23     Document Type: Article

References (53)

1. Abel, J. S., and D. P. Berners. 2006. "A Technique for Nonlinear System Measurement." Proceedings of the Audio Engineering Society 121st Convention, Paper no. 6951. New York: Audio Engineering Society.
2. Arfib, D. 1979. "Digital Synthesis of Complex Spectra by Means of Multiplication of Nonlinear Distorted Sine Waves." Journal of the Audio Engineering Society 27(10):757-768.
3. Barbati, S., and T. Serafini. 2002. "A Perceptual Approach on Equalization." Available online at www.simulanalog.org/eq.pdf, accessed 2 November 2007.
4. Berners, D. P., and J. S. Abel. 2004. "Ask the Doctors!" Universal Audio Webzine 2(6). Available online at www.uaudio.com /webzine/2004/july/text/content2 html, accessed 2 November 2007.
5. Bilbao, S. 2006. Personal communication.
6. Bosi, M., and R. Goldberg. 2003. Introduction to Digital Audio Coding and Standards. Norwelt, Massachusetts: Kluwer.
7. Brown, J. C. 1991. "Calculation of a Constant-Q Spectral Transform. " Journal of the Acoustical Society of America 89(1):425-434.
8. Butcher, J.C, 1987. The Numerical Analysis of Ordinary Differential Equations. Hoboken, New Jersey: Wiley.
9. Doidis., M., et al. 1998. "Tube Modeling Programmable Digital Guitar Amplification System." U.S. Patent 5, 789, 689.
10. Fernández-Cid, P., J. Quirós, and P. Aguilar. 1999. "MWD: Multiband Waveshaping Distortion." Proceedings of the 2nd COST-G6 Workshop on Digital Audio Effects (DAFx99). Trondeim, Norway: NoTAM. Available online at citeseer.ist.psu.edu/393243.html.
11. Fettweis, A. 1986. "Wave Digital Filters: Theory and Practice." Proceedings of the IEEE 74(2):270-327.
12. Fränken, D., and K. Ochs. 2001. "Synthesis and Design of Passive Runge-Kutta Methods." AEÜ International Journal of Electronics and Communications 55(6):417-425.
13. Fränken, D., and K. Ochs. 2002. "Improving Wave Digital Simulation by Extrapolation Techniques." AEÜ International Journal of Electronics and Communications 56(5):327-336.
14. Fränken, D., J. Ochs, and K. Ochs. 2005. "Generation of Wave Digital Structures for Networks Containing Multiport Elements." IEEE Transactions on Circuits and Systems - I 52(3):586-596.
15. Gear, W. C. 1971. Numerical Initial Value Problems in Ordinary Differential Equations. Englewood Cliffs, New Jersey: Prentice-Hall.
16. Goetze, T. 2007. "CAPS, the C Audio Plugin Suite." Available online at quitte.de/dsp/caps.html, accessed 2 November 2007.
17. Gustafsson, F., et al. 2004. "System and Method for Simulation of Non-Linear Audio Equipment." U.S. Patent Application Publication US2004/0258250 A1.
18. Hèe, T. 2006. "On the Use of Volterra Series for Real-Time Simulations of Weakly Nonlinear Analog Audio Devices: Application to the Moog Ladder Filter." Proceedings of the 2006 International Conference on Digital Audio Effects (DAFx-06). Montreal, Canada: McGill University, pp. 7-12.
19. Huovilainen, A. 2004. "Nonlinear Digital Implementation of the Moog Ladder Filter." Proceedings of the 2004 International Conference on Digital Audio Effects (DAFx-04), Naples, Italy: Federico II University of Naples., pp. 61-64.
20. Huovilainen, A. 2005. "Enhanced Digital Models for Analog Modulation Effects." Proceedings of the 2005 International Conference on Digital Audio Effects (DAFx-05). Madrid, Spain: Universidad Politécnica de Madrid, pp. 155-160.
21. Karjalainen, M., and J. Pakarinen. 2006. "Wave Digital Simulation of a Vacuum-Tube Amplifier." Proceedings of the 2006 IEEE International Conference on Acoustics, Speech and Signal Processing. New York: Institute of Electrical and Electronics Engineers, pp. 153-156.
22. Karjalainen, M., et al. 2006. "Virtual Air Guitar." Journal of the Audio Engineering Society 54(10):964-980.
23. Kemp, M. J. 2006. "Audio Effects Synthesizer with or without Analyzer." U.S. Patent 7,039,194.
24. Kuroki, R., et al. 1998. "Digital Audio Signal Processor with Harmonics Modification." U.S. Patent 5,841,875.
25. Le Brun, M. 1979. "Digital Waveshaping Synthesis." Journal of the Audio Engineering Society 27(4):250-266.
26. Linear Technology. 2007. SwitcherCAD III/LTspice Users Guide. Available online at ltspice.linear.com/software/scad3.pdf, accessed 3 November 2007.
27. Martens, W. L., and A. Marui. 2003. "Psychophysical Calibration of Sharpness of Multiparameter Distortion Effects Processing." Proceedings of the Audio Engineering Society 114th Convention, paper no. 5739. New York: Audio Engineering Society.
28. McCalla, W. J. 1987. Fundamentals of Computer-Aided Circuit Simulation. Boston, Massachusetts: Kluwer.
29. Meerkötter, K., and R. Scholz. 1989. "Digital Simulation of Nonlinear Circuits by Wave Digital Filter Principles." Proceedings IEEE International Symposium on Circuits and Systems, Volume 1. New York: Institute of Electrical and Electronics Engineers, pp. 720-723.
30. Meerkötter, K., and D. Fränken.. 1996. "Digital Realization of Connection Networks by Voltage-Wave Two-Port Adaptors." AEÜ International Journal of Electronics and Communications 50(6):362-367.
31. Möller, S., M. Gromowski, and U. Zölzer. 2002. "A Measurement Technique for Highly Nonlinear Transfer Functions." Proceedings of the 2002 International Conference on Digital Audio Effects (DAFx-02). Hamburg, Germany: University of the Federal Armed Forces, pp. 203-206.
32. Muller, R. S., and T. L. Kamins. 2002. Device Electronics for Integrated Circuits. Hoboken, New Jersey: Wiley.
33. Newton, A. R., and A. L. Sangiovanni-Vincentelli. 1984. "Relaxation-Based Electrical Simulation." IEEE Transactions on Computer-Aided Design 3 (4):308-331.
34. Press, W. H., et al. 1992. Numerical Recipes in C: The Art of Scientific Computing, 2nd edition. Cambridge: Cambridge University Press.
35. Roland Corporation. 1980. Boss DS-1 Service Notes. Hamamatsu, Japan: Roland Corporation.
36. Santagata, E, A. Sarti, ind S. Tubaro. 2007. "Non-Linear Digital Implementation of a Parametric Analog Tube Ground Cathode Amplifier." Proceedings of the 2007 International Conference on Digital Audio Effects (DAFx-07). Bordeaux, France: University of Bordeaux, pp. 169-172.
37. Sapp, M., J. Becker, and C. Brouër. 1999. "Simulation of Vacuum-Tube Amplifiers." Journal of the Acoustical Society of America 105(2):1331.
38. Sarti, A., and G. De Poli. 1999. "Toward Nonlinear Wave Digital Filters." IEEE Transactions on Signal Processing 47(6):1654-1668.
39. Schattschneider, J., and U. Zölzer. 1999. "Discrete-Time Models for Nonlinear Audio Systems." Proceedings of the 2nd COST G-6 Workshop on Digital Audio Effects (DAFx99). Trondheim, Norway: Norwegian University of Science and Technology. Available online at citeseer.ist.psu.edu/284494.html.
40. Schimmel, J. 2003. "Using Nonlinear Amplifier Simulation in Dynamic Range Controllers." Proceedings of the 2003 International Conference on Digital Audio Effects (DAFx-03). London: Queen Mary, University of London, pp. 1-4.
41. Schimmel, J., and J. Misurec. 2007. "Characteristics of Broken Line Approximation and its Use in Distortion Audio Effects." Proceedings of the 2007 International Conference on Digital Audio Effects (DAFx-07). Bordeaux, France: University of Bordeaux, pp. 161-164.
42. Serafini, T., and P. Zamboni. 2002. "State-Variable Changes to Avoid Non Computation Issues." Available online at www.simulanalog.org/ statevariable.pdf, accessed 2 November 2007.
43. Shampine, L. F. 1994. Numerical Solution of Ordinary Differential Equations. New York: Chapman and Hall.
44. Shampine, L. F., and M. W. Reichelt. 1997. "The MATLAB ODE Suite." SIAM Journal on Scientific Computing 18(1):1-22.
45. Smith, J.O. 2007. Physical Audio Signal Processing. Available online at ccrma.stanford.edu/-jos/pasp, accessed 6 November 2007.
46. Stoer, J., and R. Bulirsch. 2002. Introduction to Numerical Analysis, 3rd ed. New York: Springer.
47. Välimäki, V., and A. Huovilainen. 2006. "Oscillator and Filter Algorithms for Virtual Analog Synthesis." Computer Music Journal 30(2):19-31.
48. Vladimirescu, A. 1994. The SPICE Book. Hoboken, New Jersey: Wiley.
49. White, J., K., and A. Sangiovanni-Vincentelli. 1987. Relaxtion Techniques for the Simulation ot VLSI Circuits. Boston, Massachusetts: Kluwer.
50. Yeh, D. T., J. Abel, and J. O. Smith. 2007a. "Simplified, Physically-informed Models of Distortion and Overdrive Guitar Effects Pedals." Proceedings of the 2007 International Conference on Digital Audio Effects (DAFx-07). Bordeaux, France: University of Bordeaux, pp.189-196.
51. Yeh, D. T., J. Abel, and J. O. Smith. 2007b. "Simulation of the Diode Limiter in Guitar Distortion Circuits by Numerical Solution of Ordinary Differential Equations." Proceedings of the 2007 International Conference on Digital Audio Effects (DAFx-07). Bordeaux, France: University of Bordeaux, pp. 197-204.
52. Yeh, D. T., and J. O. Smith. 2006. "Discretization of the '59 Fender Bassman Tone Stack." Proceedings of the 2006 International Conference on Digital Audio Effects (DAFx-06). Montreal, Quebec, Canada, pp. 1-6.
53. Zölzer, U., ed. 2002. DAFX: Digital Audio Effects. Hoboken, New Jersey: Wiley.