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Digital Modeling/Implementation of Valve Amplifiers

Digital Modeling/Implementation of Valve Amplifiers. Authors: Cody Frye & Mitchell Gould Advisor: Dr. Yufeng Lu Department of Electrical and Computer Engineering May 4th 2019. Agenda. Introduction Motivation System Description Methods Triode Valve Numerical Analysis WDF Results

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Digital Modeling/Implementation of Valve Amplifiers

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  1. Digital Modeling/Implementation of Valve Amplifiers Authors: Cody Frye & Mitchell Gould Advisor: Dr. Yufeng Lu Department of Electrical and Computer Engineering May 4th 2019

  2. Agenda Introduction Motivation System Description Methods Triode Valve Numerical Analysis WDF Results Conclusion

  3. Introduction Significance of valve amplifiers Pros of valve amplifiers Smooth clipping Warm tone characteristics Cons of valve amplifiers Weight Heat Cost

  4. Introduction

  5. Motivation Affordable and Convenient Variety of Amplifiers to choose from Digital components reduce overall size

  6. System Description

  7. Pre-Amplification Stage

  8. Methods Frequency Bin / Lookup Table Method Model Individual Blocks of System Wave Digital Filtering

  9. Method 1 (Frequency Bin Method) ...

  10. Method 1 (Frequency Bin Method) Separate input signal into Multiple frequency bins bandPass Filters NonLinear transfer function represented by L.U.T.s Sum all the bins together

  11. WDF Method (Method 2) Wave quantities A = incident wave B = reflected wave A = V + RI [eq. 1] B = V - RI [eq. 2] V = (A+B) / 2 [eq. 3] I = (A-B)/2R [eq. 4]

  12. WDF Method (Method 2) WDF port adapters WDF components

  13. Triode Valve Numerical Analysis Nonlinear Triode Currents as a Function of Vgk and Vpk Model of Triode Triode Amplifier

  14. Triode Valve Numerical Analysis Norman Koren’s Equations Leach’s Equations

  15. Leach’s model Vpk = 350 Vgk = 2 Vpk = 300 Vpk = 250 Vgk = 1 Vpk = 200 Vpk = 150 Vgk = 0 Vpk = 100 Vgk = -1 Vpk = 50 Vpk = 0 Vgk = -2 Vgk = -3

  16. Koren’s model Vgk = 1 Vpk = 300 Vpk = 250 Vpk = 200 Vgk = 0 Vpk = 150 Vpk = 100 Vpk = 50 Vpk = 0 Vgk = -1 Vgk = -2 Vgk = -3

  17. Triode Valve Numerical Analysis

  18. WDF 1st Order LPF RC LPF Circuit WDF Equivalent

  19. WDF 1st Order Filter PSpice simulation results for 1st Order LPF WDF simulation results for 1st Order LPF

  20. WDF Single Triode Stage Amplifier Single Stage Circuit Single Stage WDF equivalent

  21. WDF Single Triode Stage Amplifier Single Stage Circuit Single Stage WDF equivalent

  22. WDF Single Triode Stage Amplifier Single Stage Circuit Single Stage WDF equivalent

  23. WDF Single Triode Stage Amplifier Single Stage Circuit Single Stage WDF equivalent

  24. WDF Single Triode Stage Amplifier Single Stage Circuit Single Stage WDF equivalent

  25. WDF Single Triode Stage Amplifier PSpice Triode Stage WDF Triode Stage

  26. WDF Single Triode Stage Amplifier WDF G Chord results

  27. Conclusion In this project, a digital emulation of an analog valve amplifier has been designed. The non-linear characteristics of valve amplifier has been modeled. The overall response of the valve amplifier has been successfully emulated using Wave Digital Filtering technique.

  28. Future Work Model distortion characteristics of real amplifier using cascaded amplification stages and self-tuning algorithm Implement WDF system including R-Adapter on an ARM-based embedded system

  29. Questions? Thank you!

  30. [1] M. Karjalainen and J. Pakarinen, "Wave Digital Simulation of a Vacuum-Tube Amplifier," 2006 IEEE International Conference on Acoustics Speech and Signal Processing Proceedings, Toulouse, 2006, pp. V-V. doi: 10.1109/ICASSP.2006.1661235 [2] S. D Angelo, J. Pakarinen, and V. Välimäki. New Family of Wave-Digital Triode Models. IEEE Trans. Audio, Speech, and Lang. Process., vol. 21, no. 2, pp. 313 321, February 2013. [3] Bohumil Psenicka, Francisco Garciá Ugalde, and Andrés Romero, “Design of Wave Digital Filters,” Universidad Nacional Autónoma de México, December 2009 [4] M. Antosová and V. Davídek, “Design and Implementation of Wave Digital Filters,” Department of Circuit Theory, Czech Technical University, Prague, Czech Republic September 2001 [5] Ivan Cohen, Thomas Hélie. Measures and Models of Real Triodes, for the Simulation of Guitar Amplifiers. Société Française d’Acoustique. Acoustics 2012, Apr 2012, Nantes, France. 2012. [6] Jyri Pakarinen, David T. Yeh, “A Review of Digital Techniques for Modeling Vacuum-Tube Guitar Amplifiers,” Helsinki University of Technology, Helsinki, Finland, Report, August 2009. [7] James Siegle, “DSP Implementation of a 1961 Fender Champ Amplifier,” B.S. Thesis, Dept. Elect. Eng., Bradley University, Peoria, Illinois, U.S., 2003 [8] Marshall Leach, “SPICE Models for Vacuum-Tube Amplifiers,” Georgia Institute of Technology, Atlanta, Georgia, U.S., Report, March 1995

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