Abstract
Volterra analysis can be used to perform distortion contribution analysis. It is shown here that an ordinary time-invariant (TI) Volterra analysis with fitted polynomial models can be used in such a non-linear application as mixers and switching power amplifiers, where time-varying (TV) Volterra analysis has often been used. TI and TV Volterra analyses are compared behaviorally, and the use of TI Volterra with fitted polynomial coefficients is illustrated by analyzing two highly non-linear example circuits using a recently developed Volterra-on-Harmonic-Balance (VoHB) analysis tool.
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References
Narayanan, S. (1970). Application of Volterra series to intermodulation distortion analysis of transistor feedback amplifiers. IEEE Transactions on Circuit Theory, CT-17(4), 518–527.
Maas, S. (1988). Nonlinear microwave circuits. Artech House.
Wambacq, P., & Sansen, W. M. C. (1998). Distortion analysis of analog integrated circuits. Kluwer Academic Publisher.
Vuolevi, J. & Rahkonen, T. (2003). Distortion in power amplifiers. Artech House.
Pedro, J. C., & Carvalho, N. B. (2003). Intermodulation distortion in microwave and wireless circuits. Artech House.
Dobrovolny, P., Vandersteen, G., Wambacq, P., & Donnay, S. (2003). Analysis and white-box modeling of weakly nonlinear time-varying circuits design. In Proceedings of automation and test in Europe conference and exhibition, pp. 624–629.
Li, P., & Pileggi, L. T. (2003). Efficient per-nonlinearity distortion analysis for analog and RF circuits. IEEE Transactions on Computer Aided Design, 22(10), 1297–1309.
Kim, J., & Kwon, Y. (2002). Intermodulation analysis of dual-gate FET mixers. IEEE Transactions on Microwave Theory and Techniques, 50(6), 1544–1555.
Sarbishaei, H. (2009). Time-varying Volterra analysis of non-linear circuits. MSc thesis, Univ. Waterloo, Canada.
Aikio, J. P., & Rahkonen, T. (2005). Detailed distortion analysis technique based on large-signal voltage and current spectra. IEEE Transactions on Microwave Theory and Techniques, 53(10), 3057–3066.
Sarkas, I., Mavridis, D., Papamichail, M., & Papadopoulos, G. (May 2007). Volterra analysis using chebyshev series. In Proceedings of international symposium on circuits and systems (pp. 1931–1934).
Maxima—A computer algebra system. http://maxima.sourceforge.net.
Rahkonen, T., Aikio, J., & Mustaparta, M. (2010). Effect of filtering on the linearity of current-steering IF DAC. In Proceedings of Norchip 2010 conference, November 15–16, Tampere, Finland.
Rahkonen, T., & Aikio, J. (Aug 2011) Utilization of distortion contribution analysis. In Proceedings of European circuit theory and design conference (pp. 701–704).
Manstretta, D., Brandolini, M., & Svelto, F. (2003). Second-order intermodulation mechanisms in CMOS downconverters. IEEE Journal of Solid-State Circuits, 38(3), 394–406.
Aikio, J. P., Rahkonen, T., Hamina, J.-P., & Virtanen, J. (2012). Improved methods for polynomial fitting and distortion contribution analysis. Submitted to 42nd European Microwave Conference.
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This work has been supported by the Academy of Finland and AWR-Aplac.
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Rahkonen, T., Aikio, J. Comparison of ordinary and time-varying Volterra analysis for finding distortion contributions. Analog Integr Circ Sig Process 74, 3–9 (2013). https://doi.org/10.1007/s10470-012-9904-x
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DOI: https://doi.org/10.1007/s10470-012-9904-x