Iterative operator method of nonlinear compensation in recursive systems
The iterative operator method of “blind” linearization was used for the compensation of nonlinear distortions of signals in recursive systems. A nonlinear compensator was synthesized for the suppression of signal distortions in electrodynamic loudspeaker. The iterative operator method was shown to surpass in terms of accuracy the fixed point method.
E. B. Solovyeva, “Synthesis of nonlinear equalizers based on the polynomial perceptron with splitter,” Elektronnoe Modelirovanie 28, No. 5, 3 (2006).
A. A. Lanne and E. B. Solovyeva, “Simulation of nonlinear discrete systems based on the perceptron with splitter,” Tsifrovaya Obrabotka Signalov, No. 3, 2 (2006).
A. I. Solonina, D. A. Ulakhovich, S. M. Arbuzov, and E. B. Solovyeva, Foundations of Digital Processing of Signals. A Course of Lectures (BKhV-Peterburg, St. Petersburg, 2005) [in Russian].
V. J. Mathews and G. L. Sicuranza, Polynomial Signal Processing (John Wiley&Sons Inc., New York, 2000).
A. A. Lanne, Nonlinear Dynamic Systems: Synthesis, Optimization, Identification (VAS, Leningrad, 1985) [in Russian].
A. Carini, V. J. Mathews, and G. L. Sicuranza, “Equalization of recursive polynomial systems,” IEEE Signal Process. Lett. 6, No. 12, 312 (1999).
S. Chen and S. A. Billings, “Representations of non-linear systems: the NARMAX model,” Int. J. Control 49, No. 3, 1013 (1989).
Y. W. Fang, L. C. Jiao, X. D. Zhang, and J. Pan, “On the convergence of Volterra filter equalizers using a pth order inverse approach,” IEEE Trans. Signal Process. 49, No. 8, 1734 (2001).
R. D. Nowak and B. D. Van Veen, “Volterra filter equalization: a fixed point approach,” IEEE Trans. Signal Process. 45, No. 2, 377 (1997).
A. L. Redfern and G. T. Zhou, “A root method for Volterra systems equalization,” IEEE Signal Process. Lett. 5, No. 11, 285 (1998).
E. B. Solovyeva, “Synthesis of Linear Equalizers by the Simple Iteration Method,” Izv. Vyssh. Uchebn. Zaved., Radioelektron. 47(11), 61 (2007); Radioelectron. Commun. Syst. 47(11), 48 (2004).
E. B. Solovyeva, “Iteration method of compensating the nonlinear distortions in communication channels,” Tsifrovaya Obrabotka Signalov, No. 1, 2 (2005).
N. S. Bakhvalov, N. P. Zhidkov, and G. M. Kobel’kov, Numerical Methods (BINOM. Laboratoriya Znanii, Moscow, 2003) [in Russian].
E. B. Solovyeva, “Shortened Iteration Metod of Nonlinear Compensation,” Elektronnoe Modelirovanie 27, No. 4, 75 (2005).
A. B. Dobrucki and P. Pruchnicki, “Application of the NARMAX method to the modeling of the nonlinearity of dynamic loudspeakers,” Archives of Acoustics 26, No. 4, 277 (2001).
I. A. Aldoshina, Electrodynamic Loudspeakers (Radio i Svyaz’, Moscow, 1989) [in Russian].
A. Voishvillo, A. Terekhov, E. Czerwinski, and S. Alexandrov, “Graphing, interpretation and comparison of results of loudspeaker nonlinear distortion measurements,” AES: J. Audio Eng. Soc. 52, No. 4, 332 (2004).