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On Definition of Operator o for Weakly Nonlinear Circuits

On Definition of Operator o for Weakly Nonlinear Circuits Abstract For the first time, operator o appeared in the literature on weakly nonlinear circuits in a Narayanan’s paper on modelling transistor nonlinear distortion with the use of Volterra series. Its definition was restricted only to the linear part of a nonlinear circuit description. Obviously, as we show here, Narayanan’s operator o had meaning of a linear convolution integral. The extended version of this operator, which was applied to the whole nonlinear circuit representation by the Volterra series, was introduced by Meyer and Stephens in their paper on modelling nonlinear distortion in variable-capacitance diodes. We show here that its definition as well as another definition communicated to the author of this paper are faulty. We draw here attention to these facts because the faults made by Meyer and Stephens were afterwards replicated in publications of Palumbo and his coworkers on harmonic distortion calculation in integrated CMOS amplifiers, and recently in a paper about distortion analysis of parametric amplifier by H. Shrimali and S. Chatterjee. These faults are also present in some class notes for students, which are available on WWW-pages. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Electronics and Telecommunications de Gruyter

On Definition of Operator o for Weakly Nonlinear Circuits

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Publisher
de Gruyter
Copyright
Copyright © 2016 by the
ISSN
2300-1933
eISSN
2300-1933
DOI
10.1515/eletel-2016-0034
Publisher site
See Article on Publisher Site

Abstract

Abstract For the first time, operator o appeared in the literature on weakly nonlinear circuits in a Narayanan’s paper on modelling transistor nonlinear distortion with the use of Volterra series. Its definition was restricted only to the linear part of a nonlinear circuit description. Obviously, as we show here, Narayanan’s operator o had meaning of a linear convolution integral. The extended version of this operator, which was applied to the whole nonlinear circuit representation by the Volterra series, was introduced by Meyer and Stephens in their paper on modelling nonlinear distortion in variable-capacitance diodes. We show here that its definition as well as another definition communicated to the author of this paper are faulty. We draw here attention to these facts because the faults made by Meyer and Stephens were afterwards replicated in publications of Palumbo and his coworkers on harmonic distortion calculation in integrated CMOS amplifiers, and recently in a paper about distortion analysis of parametric amplifier by H. Shrimali and S. Chatterjee. These faults are also present in some class notes for students, which are available on WWW-pages.

Journal

International Journal of Electronics and Telecommunications – de Gruyter

Published: Sep 1, 2016

References

  • Distortion analysis of a three - terminal MOS - based discrete - time parametric amplifier Circuits and Systems - II : Express Briefs vol
    Shrimali
  • High - frequency harmonic distortion in feedback amplifiers : analysis and applications Circuits and Systems Fundamental Theory and Applications vol
    Palumbo
  • Use of phasors in nonlinear analysis of Telecommunications and JET
    Borys
  • Transistor distortion analysis using Volterra series representation The Bell
    Narayanan
  • Distortion in variable - capacitance diodes of Solid - State Circuits
    Meyer
  • Miller theorem for weakly nonlinear feedback circuits and application to CE amplifier Circuits and Systems - II : Express Briefs vol
    Palumbo
  • Effects of nonlinear feedback in the frequency domain Circuits and Systems Fundamental Theory and Applications
    Cannizzaro