NOISE IMMUNITY RESEARCH FOR NONLINEAR DYNAMICAL SYSTEMS IDENTIFICATION BASED ON VOLTERRA MODEL IN FREQUENCY DOMAIN
DOI:
https://doi.org/10.47839/ijc.13.1.619Keywords:
identification, nonlinear dynamic systems, Volterra models, multifrequency characteristics, polyharmonic signals, wavelet denoising, communication channels.Abstract
The accuracy and noise immunity of the interpolation method of nonlinear dynamical systems identification based on the Volterra model in the frequency domain is studied in this paper. The polyharmonic signals are used for the testing the method. The algorithmic and software toolkit in Matlab is developed for the identification procedure. This toolkit is used to construct the informational models of test system and communication channel. The model is built as a first-, second- and third-order amplitude–frequency and phase–frequency characteristics. The comparison of obtained characteristics with previous works is given. Wavelet denoising is studied and applied to reduce measurement noise.References
G. B. Giannakis, E. Serpedin, A bibliography on nonlinear system identification and its applications in signal processing, communications and biomedical engineering, Signal Processing – EURASIP, Elsevier Science B.V., (81) 3 (2001), pp. 533–580.
D. T. Westwick, Methods for the Identification of Multiple–Input Nonlinear Systems, Departments of Electrical Engineering and Biomedical Engineering, McGill University, Montreal, Quebec, Canada, 1995, pp. 192–232.
F. J. Doyle, R. K. Pearson, B. A. Ogunnaike, Identification and Control Using Volterra Models, Published Springer Technology & Industrial Arts, 2001, pp. 58–72.
S. Boyd, Y. S. Jang, L. O. Chua, Measuring Volterra kernels, IEEE Transactions on Circuits and Systems, (CAS-30) 8 (1983), pp. 571–578.
K. V. Peddanarappagari, M. Brandt-Pearce, Volterra series approach for optimizing fiber–optic communications system designs, J. Lightwave Tech., (16) 11 (1998), pp. 2046–2055.
V. D. Pavlenko, V. I. Lomovoy, V. O. Speranskyy, Modelling of radio-frequency communication channels using Volterra model, Proceedings of the 6th IEEE International Conference on Intelligent Data Acquisition and Advanced Computing Systems: Technology and Applications, Vol. 2, 2011, pp. 574-579.
V. D. Pavlenko, Identification of nonlinear dynamic systems in the form of the Volterra kernels on the basis of the data of pulse response measurements, Electronic Modeling, (32) 3 (2010), pp. 3–18. (in Russian).
M. Schetzen, The Volterra and Wiener Theories of Nonlinear Systems, Wiley & Sons, New York., 1980, pp. 321–360.
J. G. Goswami, A. K. Chan, Fundamentals of Wavelets: Theory, Algorithms, and Applications, Publishing John Wiley & Sons, Inc., 1999, pp. 125–137.
L. V. Danilov, P. N. Mathanov, E. S. Philipov, The theory of nonlinear electrical circuits, Published Energoatomizdat, Leningrad, 1990, pp. 136–148 (in Russian).
V. D. Pavlenko, V. O. Speranskyy, Communication channel identification in frequency domain based on the Volterra model, Proceedings of the International Conference on Computers, Digital Communications and Computing (ICDCC'11), Barcelona, Spain, September 15-17, 2011, Published by WSEAS Press, 2011, pp. 218–222.
V. D. Pavlenko, S. V. Pavlenko, V. O. Speranskyy, Interpolation method of nonlinear dynamical systems identification based on Volterra model in frequency domain, Proceedings of the 7th IEEE International Conference on Intelligent Data Acquisition and Advanced Computing Systems: Technology and Applications (IDAACS’2013), Berlin, Germany, 15–17 September 2013, pp. 173–178.
M. Misiti, Y. Misiti, G. Oppenheim, J.-M. Poggi, Wavelets toolbox users guide, The MathWorks. Wavelet Toolbox, for use with MATLAB, 2000.
Downloads
Published
How to Cite
Issue
Section
License
International Journal of Computing is an open access journal. Authors who publish with this journal agree to the following terms:• Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
• Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
• Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.