Operator o and analysis of harmonic distortion
Abstract
It has been shown that the description of mildly nonlinear circuits with the use of an operator o introduced by Meyer and Stephens in their paper published more than forty years ago was flawed. The problem now with their incorrect and imprecise definition is that it is still replicated in one or another form, as, for example, in publications of Palumbo and Pennisi on harmonic distortion calculation in integrated CMOS amplifiers or an article of Shrimali and Chatterjee on nonlinear distortion analysis of a three-terminal MOS-based parametric amplifier. Here, we discuss the versions of o operator presented in the works mentioned above and show points, where mistakes were committed. Also, we derive the correct forms of nonlinear circuit descriptions that should be used.References
A. Borys, “Strange History of an Operator o,” Proceedings of the 22nd International Conference Mixed Design of Integrated Circuits and Systems MIXDES’2015, pp. 504-507, June 2015.
G. Palumbo and S. Pennisi, “High-frequency harmonic distortion in feedback amplifiers: analysis and applications,” IEEE Trans. Circuits and Systems-I: Fundamental Theory and Applications, vol. 50, pp. 328-340, March 2003.
S. O. Cannizzaro, G. Palumbo, and S. Pennisi, “Effects of nonlinear feedback in the frequency domain,” IEEE Trans. Circuits and Systems-I: Fundamental Theory and Applications, vol. 53, pp. 225-234, Feb. 2006 .
G. Palumbo, M. Pennisi, and S. Pennisi, “Miller theorem for weakly nonlinear feedback circuits and application to CE amplifier,” IEEE Trans. Circuits and Systems-II: Express Briefs, vol. 55, pp. 991-995, Oct. 2008 .
S. O. Cannizzaro, G. Palumbo, and S. Pennisi, “An approach to model high-frequency distortion in negative-feedback amplifiers,” Journal of Circuit Theory and Applications, vol. 36, pp. 3-18, 2008.
H. Shrimali and S. Chatterjee, “Distortion analysis of a three-terminal MOS-based discrete-time parametric amplifier,” IEEE Trans. Circuits and Systems-II: Express Briefs, vol. 58, pp. 902-905, Dec. 2011.
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Y. L. Kuo, “Distortion analysis of bipolar transistor circuits,” IEEE Trans. on Circuit Theory, vol. CT-20, pp. 709-716, Nov. 1973.
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