Schmitz, Thomas ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Dép. d'électric., électron. et informat. (Inst.Montefiore)
Embrechts, Jean-Jacques ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Techniques du son et de l'image
Language :
English
Title :
Hammerstein kernels identification by means of a sine sweep technique applied to nonlinear audio devices emulation
Alternative titles :
[fr] Identification des noyaux de Hammerstein au moyen d'une technique de balayage fréquentiel (sine sweep) appliquée à l'émulation de systèmes audio non linéaires
Publication date :
September 2017
Journal title :
Journal of the Audio Engineering Society
ISSN :
0004-7554
eISSN :
1549-4950
Publisher :
Audio Engineering Society, New York, United States - New York
T. Schmitz and J. J. Embrechts, "Nonlinear Guitar Loudspeaker Simulation," presented at the 134th Convention of the Audio Engineering Society (2013 May), convention e-Brief 96.
W. Klippel, "Loudspeaker Nonlinearities-Causes, Parameters, Symptoms," presented at the 119th Convention of the Audio Engineering Society (2005 Oct.), convention paper 6584.
I. Cohen and T. Helie, "Simulation of a Guitar Amplifier Stage for Several Triode Models: Examination of Some Relevant Phenomena and Choice of Adapted Numerical Schemes," presented at the 127th Convention of the Audio Engineering Society (2009 Oct.), convention paper 7929.
M. J.Kemp, "Analysis and Simulation of Non-Linear Audio Processes Using Finite Impulse Responses Derived at Multiple Impulse Amplitudes," presented at the 106th Convention of the Audio Engineering Society (1999 May), convention paper 4919.
A.V. Oppenheim and A.S. Willsky, Signals and Systems (Prentice Hall, 1996).
M. Schetzen, The Volterra & Wiener Theory of Nonlinear Systems (John Wiley & Sons, 1980).
J. S. Bendat, Nonlinear System Techniques and Applications (New York: Wiley, 1998).
M. Schoukens, K. Tiels, M. Ishteva, and J. Schoukens, "Identification of Parallel Wiener- Hammerstein Systems with a Decoupled Static Nonlinearity," 19th World Congress of the International Federation of Automatic Control, Cape Town, South Africa, pp. 24- 29 (2014 Aug.). https://doi.org/10.3182/20140824-6-ZA-1003.00496.
M. Schoukens, G. Vandersteen, and Y. Rolain, "An Identification Algorithm for Parallel Wiener-Hammerstein Systems," presented at the 52nd Annual Conference on Decision and Control (CDC), Firenze (2013 Dec.). https://doi.org/10.1109/CDC.2013.6760659.
F. Thouverez and L. Jezequel, "Identification of NARMAX Models on a Modal Base," J. Sound & Vibration, vol. 189, no. 2, pp. 193-213 (1996). https://doi.org/10.1006/jsvi.1996.0015
O. Nelles, Nonlinear System Identification: From Classical Approaches to Neural Networks and Fuzzy Models (Berlin, Germany: Springer-Verlag, 2001). https://doi.org/10.1007/978-3-662-04323-3.
Y. W. Chen, S. Narieda, and K. Yamashita "Blind Nonlinear System Identification Based on a Constrained Hybrid Genetic Algorithm," IEEE Transaction on Instrumentation and Measurement," vol. 52, no. 3, pp. 898-902 (2003).
H. Sorenson, Kalman Filtering: Theory and Application (Montvale, NJ: IEEE Press, 1985).
O. Cappe, S. J. Godsill, and E. Moulines, "An Overview of Existing Methods and Recent Advances inSequential Monte Carlo," Proceeding of IEEE, vol 95, no. 5, pp 899-924 (2007).
T. Ogunfunmi, Adaptive Nonlinear System Identification: The Volterra and Wiener Model Approaches (Springer, 2007). https://doi.org/10.1007/978-0-387-68630-1.
A. Novak, L. Simon, P. Lotton, and F. Kadlec, "A New Method for Identification of Nonlinear Systems Using Miso Model with Swept-Sine Technique: Application to Loudspeaker Analysis," presented at the 124th Convention of the Audio Engineering Society (2008 May), convention paper 7441.
M. Rébillat, R. Hennequin, E. Corteel, and B. Katz, "Identification of Cascade of Hammerstein Models for the Description of Nonlinearities in Vibrating Devices," J. Sound & Vibration, vol. 330, no. 5, pp. 1018-1038 (2011 Feb.). https://doi.org/10.1016/j.jsv.2010.09.012.
A. Farina, A. Bellini, and E. Armelloni, "Nonlinear Convolution: A New Approach for the Auralization of Distorting Systems," presented at the 110th Convention of the Audio Engineering Society (2001 May), convention paper 5359.
A. Farina, "Simultaneous Measurement of Impulse Response and Distortion with a Swept-Sine Technique," presented at the 108th Convention of the Audio Engineering Society (2000 Feb.), convention paper 5093.
T. Schmitz and J. J. Embrechts, "Improvement in Nonlinear Guitar Loudspeaker Sound Reproduction," presented at the 21th International Conference on Systems, Signals and Image Processing (2014 May), international conference on IEEE.
L. Tronchin, "The Emulation of Nonlinear Time- Invariant Audio Systems with Memory by Means of Volterra Series," J. Audio Eng. Soc., vol. 60, pp. 984-996 (2012 Dec.).
A. Novak, L. Simon, and P. Lotton, "Analysis, Synthesis, and Classification of Nonlinear Systems Using Synchronized Swept-Sine Method for Audio Effects," Eurasia J. Advances in Sig. Proc., vol. 2010:793816 (2010 July). https://doi.org/10.1155/2010/793816.
A. Novak and L. Simon, "Nonlinear System Identification Using Exponential Swept-Sine Signal," IEEE Transactions on Instrumentation and Measurement, vol. 59, no 8, pp. 2220-2229 (2009 Aug.). https://doi.org/10.1109/TIM.2009.2031836.
A. Novak, P. Lotton, and L. Simon, "Synchronized Swept-Sine: Theory, Application and Implementation," J. Audio Eng. Soc., vol. 63, pp. 786-798 (2015 Oct.). https://doi.org/10.17743/jaes.2015.0071
J. Vanderkooy, and S. P. I. Thomson, "Harmonic Distortion Measurement for Nonlinear System Identification," presented at the 140th Convention of Audio Engineering Society (2016 Jun.), convention paper 9497.
G. Palm, "On Representation and Approximation of Nonlinear Systems," J. Biological Cybernetics, vol. 34, no. 1, pp. 49-52 (1979 Sep.). https://doi.org/10.1007/BF00336857.
M. Rébillat, R. Hennequin, E. Corteel, and B. Katz, "Identification of Cascade of Hammerstein Models for the Description of Nonlinearities in Vibrating Devices," J. Sound & Vibration, vol. 330, no. 5 (2011). https://doi.org/10.1016/j.jsv.2010.09.012.
M. Holters, T. Corbach, and U. Zlzer, "Impulse Response Measurement Techniques and their Applicability in the Real World," presented at the 12th Int. Conference on Digital Audio Effects (2009 Sep.).
Q. Meng, D. Sen, S. Wang, and L. Hayes, "Impulse Response Measurement with Sine Sweeps and Amplitude Modulation Schemes," 2nd International Conference on Signal Processing and Communication Systems (2008 Dec.). https://doi.org/10.1109/ICSPCS.2008. 4813749.
S. Norcross, G. Soulodre, and M. Lavoie, "Evaluation of Inverse Filtering Techniques for Room/Speaker Equalization," presented at the 113th Convention of the Audio Engineering Society (2002 Oct.), convention paper 5662.
O. Kirkeby and P. Nelson, "Digital Filter Design for Inversion Problems in Sound Reproduction," J. Audio Eng. Soc., vol. 47, pp. 583-595 (1999 Jul./Aug.).
D. Zwillinger, Standard Mathematical Tables and Formulae, 32nd ed. (CRC Press, 2011).
S. Qin, Y. QiN, and Y. Mao, "Accurate Instantaneous Frequency Estimation with Iterated Hilbert Transform and Its Application," Proceedings of the 7th WSEAS International Conference on SIGNAL PROCESSING, ROBOTICS and AUTOMATION (ISPRA'08) (2008 Feb.).
M. R. Spiegel, S. Lipschutz, and J. Liu, Mathematical Handbook of Formulas and Tables, 3rd ed. (Schaum's Outlines Series, McGraw-Hill eBook, 2009).
L. Tronchin and V. L. Coli, "Further Investigations in the Emulation of Nonlinear Systems with Volterra Series," J. Audio Eng. Soc., vol. 63, pp. 671-683 (2015 Sep.).
D. Ciric, M. Markovic, M Mijic, and S. Sumarac-Pavlovic, "On the Effects of Nonlinearities in Room Impulse Response Measurements with Exponential Sweeps," J. Applied Acoustics, vol. 74, pp. 375-382 (2013).
A. Farina, "Advancements in Impulse Response Measurements by Sine Sweeps," presented at the 122th Convention of Audio Engineering Society (2007 May), convention paper 7121.
A. Torras-Rossel and F. Jacobsen, "A New Interpretation of Distortion Artifacts in Sweep Measurements," J. Audio Eng. Soc., vol. 59, pp. 283-289 (2011 May).
Scip Solver: http://scip.zib.de/
J. Macak and J. Schimmel, "Real-Time Guitar Tube Amplifier Simulation Using an Approximation of Differential Equations," presented at the 13th Int. Conference on Digital Audio Effects, Graz, Austria (2010 Sep.), DAFx-10.
Matlab Toolbox for Identification of the Hammerstein Kernels: https://github.com/TSchmitzULG/HKISS
T. Schmitz, & J.-J. Embrechts, "A New Toolbox for the Identification of Diagonal Volterra Kernels Allowing the Emulation of Nonlinear Audio Devices," presented at the 22nd International Congress on Acoustics, Buenos- Aires, Argentina (2016 Sep.), ICA.