Understanding of Meyer and Stephens’s operator o as a multi-operational one
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.References
S. Narayanan, “Transistor distortion analysis using Volterra series representation,” The Bell Syst. Tech. Journal, vol. 46, pp. 991-1024, May-June 1967.
M. Schetzen, The Volterra and Wiener Theories of Nonlinear Systems. New York: John Wiley & Sons, 1980.
R. Meyer and M. Stephens, “Distortion in variable-capacitance diodes,” IEEE Journal of Solid-State Circuits, vol. 10, pp. 47-54, February 1975.
A. Borys, “Strange history of an operator o,” in Proceedings of the 22nd International Conference Mixed Design of Integrated Circuits and Systems MIXDES’2015, Toruń, June 2015, pp. 504-507.
A. Borys, “On definition of operator o for weakly nonlinear circuits,” accepted for publication in International Journal of Electronics and Telecommunications (JET), 2016.
J. J. Bussgang, L. Ehrman, and J. W. Graham, “Analysis of nonlinear systems with multiple inputs”, Proceedings of the IEEE, vol. 62, pp. 1088-1119, 1974.
A. Borys, “Operator o and analysis of harmonic distortion”, accepted for publication in International Journal of Electronics and Telecommunications (JET), 2016.
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