An energetic interpretation of nonlinear wave digital filter lookup table error (invited paper)

In this paper, we study error in wave digital filter nonlinearities from an energetic perspective. By ensuring that power dissipation corresponding to this error is non-negative, we respect the basic wave digital filter premise that errors should not correspond to an increase in system energy. In particular, this has implications for the formation of lookup tables and the choice of lookup table interpolation method. We give recommendations for both based on the sign and second derivative of the wave-domain function which is to be tabulated. These recommendations are used to study interpolation of a diode characteristic.

[1]  S. Bilbao Wave and Scattering Methods for Numerical Simulation , 2004 .

[2]  Augusto Sarti,et al.  Generalized adaptors with memory for nonlinear wave digital structures , 1996, 1996 8th European Signal Processing Conference (EUSIPCO 1996).

[3]  Smith,et al.  Physical audio signal processing : for virtual musical instruments and audio effects , 2010 .

[4]  David T. Yeh Automated Physical Modeling of Nonlinear Audio Circuits for Real-Time Audio Effects—Part II: BJT and Vacuum Tube Examples , 2012, IEEE Transactions on Audio, Speech, and Language Processing.

[5]  Rudolf Rabenstein,et al.  Wave digital filters with multiple nonlinearities , 2004, 2004 12th European Signal Processing Conference.

[6]  Augusto Sarti,et al.  Virtual Analog Modeling in the Wave-Digital Domain , 2010, IEEE Transactions on Audio, Speech, and Language Processing.

[7]  Augusto Sarti,et al.  Systematic Methods for the Implementation of Nonlinear Wave-Digital Structures , 2009, IEEE Transactions on Circuits and Systems I: Regular Papers.

[8]  Matti Karjalainen,et al.  WAVE DIGITAL MODELING OF THE OUTPUT CHAIN OF A VACUUM-TUBE AMPLIFIER , 2009 .

[9]  A. Fettweis Wave digital filters: Theory and practice , 1986, Proceedings of the IEEE.

[10]  Matti Karjalainen,et al.  Wave Digital Simulation of a Vacuum-Tube Amplifier , 2006, 2006 IEEE International Conference on Acoustics Speech and Signal Processing Proceedings.

[11]  Leon O. Chua,et al.  Canonical piecewise-linear modeling , 1986 .

[12]  Augusto Sarti,et al.  Toward nonlinear wave digital filters , 1999, IEEE Trans. Signal Process..

[13]  Rafael Dias de Paiva Circuit modeling studies related to guitars and audio processing , 2013 .

[14]  Anton Kummert,et al.  A multidimensional approach to Wave Digital Filters with multiple nonlinearities , 2014, 2014 22nd European Signal Processing Conference (EUSIPCO).

[15]  Matti Karjalainen,et al.  Enhanced Wave Digital Triode Model for Real-Time Tube Amplifier Emulation , 2010, IEEE Transactions on Audio, Speech, and Language Processing.

[16]  Vesa Välimäki,et al.  Emulation of Operational Amplifiers and Diodes in Audio Distortion Circuits , 2012, IEEE Transactions on Circuits and Systems II: Express Briefs.

[17]  Julius O. Smith,et al.  SIMULATING GUITAR DISTORTION CIRCUITS USING WAVE DIGITAL A ND NONLINEAR STATE-SPACE FORMULATIONS , 2008 .

[18]  T. Felderhoff,et al.  A new wave description for nonlinear elements , 1996, 1996 IEEE International Symposium on Circuits and Systems. Circuits and Systems Connecting the World. ISCAS 96.

[19]  Vesa Välimäki,et al.  Real-Time Audio Transformer Emulation for Virtual Tube Amplifiers , 2011, EURASIP J. Adv. Signal Process..

[20]  Vesa Välimäki,et al.  New Family of Wave-Digital Triode Models , 2013, IEEE Transactions on Audio, Speech, and Language Processing.

[21]  K. Meerkotter,et al.  Digital simulation of nonlinear circuits by wave digital filter principles , 1989, IEEE International Symposium on Circuits and Systems,.

[22]  David T. Yeh,et al.  Digital implementation of musical distortion circuits by analysis and simulation , 2009 .

[23]  Stefan Bilbao,et al.  Wave and Scattering Methods for Numerical Simulation , 2004 .

[24]  A. Fettweis Pseudo-passivity, sensitivity, and stability of wave digital filters , 1972 .

[25]  Stefano D'Angelo,et al.  Virtual Analog Modeling of Nonlinear Musical Circuits , 2014 .