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Comparison of Volterra Models Extracted from a Neural Network for Nonlinear Systems Modeling

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Book cover Artificial Neural Networks: Formal Models and Their Applications – ICANN 2005 (ICANN 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3697))

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Abstract

In this paper, a Time-Delayed feed-forward Neural Network (NN) is used to make an input-output time-domain characterization of a nonlinear electronic device. The procedure provides also an analytical expression for its behavior, the Volterra Series model, to predict the device response to multiple input power levels. This model, however, can be built to different accuracy degrees, depending on the activation function chosen for the NN used. We compare two Volterra series models extracted from different networks, having hyperbolic tangent and polynomial activation functions. This analysis is applied to the modeling of a Power Amplifier (PA).

An erratum to this chapter can be found at http://dx.doi.org/10.1007/11550907_163 .

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References

  1. Turlington, T.R.: Behavioral Modeling of Nonlinear RF and Microwave devices. Artech House (2000)

    Google Scholar 

  2. Meireles, M.R.G., Almeida, P.E.M., Simoes, M.G.: A comprehensive review for industrial applicability of Artificial Neural Networks. IEEE Trans. Industrial Electronics 3, 585–601 (2003)

    Article  Google Scholar 

  3. Zhang, Q.J., Gupta, K.C., Devabhaktuni, V.K.: Artificial Neural Networks for RF and Microwave Design – From Theory to practice. IEEE Trans. on MTT (4), 1339–1350 (2003)

    Google Scholar 

  4. Maas, S.A.: Nonlinear Microwave Circuits. Artech House (1988)

    Google Scholar 

  5. Stegmayer, G., Pirola, M., Orengo, G., Chiotti, O.: Towards a Volterra series representation from a Neural Network model. WSEAS Trans. on Systems (2), 432–437 (2004)

    Google Scholar 

  6. Rough, W.: Nonlinear System Theory. In: The Volterra/Wiener Approach. Johns Hopkins University Press, Baltimore (1981)

    Google Scholar 

  7. Boyd, S., Chua, L.O., Desder, C.A.: Analytical Foundations of Volterra Series. IMA Journal of Mathematical Control & Information 1, 243–282 (1984)

    Article  MATH  Google Scholar 

  8. Weiner, D., Naditch, G.: A scattering variable approach to the Volterra analysis of nonlinear systems. IEEE Trans. on MTT (24), 422–433 (1976)

    Google Scholar 

  9. Boyd, S., Tang, Y.S., Chua, L.O.: Measuring Volterra kernels. IEEE Trans. on Circuits and Systems, (8), 571–577 (1983)

    Google Scholar 

  10. Filicori, F., Vannini, G., Monaco, V.A.: A nonlinear integral model of electron devices for HB circuit analysis. IEEE Trans. on MTT, (7), 1456–1465 (1992)

    Google Scholar 

  11. Iatrou, M., Berger, T.W., Marmarelis, V.Z.: Modeling of Nonlinear Nonstationary Dynamic Systems with a Novel Class of Artificial Neural Networks. IEEE Trans. on Neural Networks, (2), 327–339 (1999)

    Google Scholar 

  12. Pinkus, A.: Approximation Theory of the MLP model in neural networks. In: Acta Numerica, pp. 143–195 (1999)

    Google Scholar 

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© 2005 Springer-Verlag Berlin Heidelberg

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Stegmayer, G. (2005). Comparison of Volterra Models Extracted from a Neural Network for Nonlinear Systems Modeling. In: Duch, W., Kacprzyk, J., Oja, E., Zadrożny, S. (eds) Artificial Neural Networks: Formal Models and Their Applications – ICANN 2005. ICANN 2005. Lecture Notes in Computer Science, vol 3697. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11550907_72

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  • DOI: https://doi.org/10.1007/11550907_72

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28755-1

  • Online ISBN: 978-3-540-28756-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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