Pseudorandom Test for Nonlinear Circuits Based on a Simplified Volterra Series Model

2007 ◽  
Author(s):  
Joonsung Park ◽  
Hongjoong Shin ◽  
Jacob A. Abraham
Keyword(s):  
Volterra Series ◽  
Nonlinear Circuits

scholarly journals On Definition of Operator o for Weakly Nonlinear Circuits

2016 ◽  
Vol 62 (3) ◽  
pp. 253-259
Author(s):  
Andrzej Borys
Keyword(s):  
Nonlinear Distortion ◽  
Volterra Series ◽  
Linear Part ◽  
Harmonic Distortion ◽  
Nonlinear Circuits ◽  
Nonlinear Circuit ◽  
Weakly Nonlinear ◽  
Circuit Description ◽  
Definition Of ◽  
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.

scholarly journals Volterra Series-Based Time-Domain Macromodeling of Nonlinear Circuits

2017 ◽  
Vol 7 (1) ◽  
pp. 39-49 ◽  
Author(s):  
Xiaoyan Y. Z. Xiong ◽  
Li Jun Jiang ◽  
Jose E. Schutt-Aine ◽  
Weng Cho Chew
Keyword(s):  
Time Domain ◽  
Volterra Series ◽  
Nonlinear Circuits

scholarly journals Circuit Distortion Analysis Based on the Simplified Newton's Method

2011 ◽  
Vol 2011 ◽  
pp. 1-11 ◽  
Author(s):  
M. M. Gourary ◽  
S. G. Rusakov ◽  
S. L. Ulyanov ◽  
M. M. Zharov ◽  
B. J. Mulvaney
Keyword(s):  
Harmonic Balance ◽  
Volterra Series ◽  
Nonlinear Circuits ◽  
New Technique ◽  
Computational Technique ◽  
Computationally Efficient ◽  
Weakly Nonlinear ◽  
Distortion Analysis ◽  
Circuit Components ◽  
Derivatives Of

A new computational technique for distortion analysis of nonlinear circuits is presented. The new technique is applicable to the same class of circuits, namely, weakly nonlinear and time-varying circuits, as the periodic Volterra series. However, unlike the Volterra series, it does not require the computation of the second and third derivatives of device models. The new method is computationally efficient compared with a complete multitone nonlinear steady-state analysis such as harmonic balance. Moreover, the new technique naturally allows computing and characterizing the contributions of individual circuit components to the overall circuit distortion. This paper presents the theory of the new technique, a discussion of the numerical aspects, and numerical results.

scholarly journals Understanding of Meyer and Stephens’s operator o as a multi-operational one

2016 ◽  
Vol 62 (3) ◽  
pp. 273-277
Author(s):  
Andrzej Borys
Keyword(s):  
Volterra Series ◽  
Nonlinear Circuits ◽  
Weakly Nonlinear ◽  
Extended Operator ◽  
Weakly Nonlinear Circuits

Abstract In this paper, the idea of an extended operator o introduced in the literature on modelling weakly nonlinear circuits by Meyer and Stephens is revisited. The mathematically precise definitions of this operator for the successive Volterra series terms are given. Furthermore, the exhaustive formal and illustrative descriptions of these definitions are also presented. Finally, the possibility of a reverse formulation for the convolution operations occurring in descriptions of weakly nonlinear circuits is reported.

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