A General Time-Domain Method for Harmonic Distortion Estimation in CMOS Circuits

This article presents a general, time-domain harmonic distortion estimation method, applicable to linear CMOS circuits characterized by weakly nonlinear behavior, ranging from amplifiers, and transconductors to filters, with any number of stages. It offers a compact, fast, and systematic way to model circuits as a structure of interconnected <inline-formula> <tex-math notation="LaTeX">${G_{m}}$ </tex-math></inline-formula>-stages, and estimates the harmonic distortion at every circuit node, providing insight into the distortion contribution of every stage. The method uses a more involved model for each <inline-formula> <tex-math notation="LaTeX">${G_{m}}$ </tex-math></inline-formula>-stage that also accounts for the dependence of its output current on cross-products of its input and output voltages, improving significantly the distortion estimation accuracy. The proposed method is easily implemented in MATLAB, and intends to be integrated as a tool in EDA suites to speed-up distortion estimation. A number of examples are presented, illustrating the application of the method and validating its accuracy via comparison with Cadence Spectre simulation.

[1]  Gaetano Palumbo,et al.  Distortion analysis of Miller-compensated three-stage amplifiers , 2006, IEEE Transactions on Circuits and Systems I: Regular Papers.

[2]  Franco Fiori,et al.  Nonlinear effects of radio-frequency interference in operational amplifiers , 2002 .

[3]  Jingjie Sun,et al.  Audio power amplifier design , 2011 .

[4]  Paul P. Sotiriadis,et al.  Accurate Harmonic Distortion Estimation in CMOS Circuits using a Cross-Product Gm-Stage Modeling , 2020, ISCAS.

[5]  Bjørnar Hernes,et al.  Distortion in single-, two- and three-stage amplifiers , 2005, IEEE Transactions on Circuits and Systems I: Regular Papers.

[6]  Calvin Plett,et al.  RF circuit implications of moderate inversion enhanced linear region in MOSFETs , 2004, IEEE Transactions on Circuits and Systems I: Regular Papers.

[7]  Piet Wambacq,et al.  Distortion analysis of analog integrated circuits , 1998 .

[8]  Salvatore Pennisi,et al.  Accurate estimation of high-frequency harmonic distortion in two-stage Miller OTAs , 2005 .

[9]  Yves Rolain,et al.  Distortion Contribution Analysis With the Best Linear Approximation , 2016, IEEE Transactions on Circuits and Systems I: Regular Papers.

[10]  Franco Fiori,et al.  Finite common-mode rejection in fully differential operational amplifiers , 2006 .

[11]  Paul-Peter Sotiriadis,et al.  Fast State-Space Harmonic-Distortion Estimation in Weakly Nonlinear $G_m{-}C$ Filters , 2007, IEEE Transactions on Circuits and Systems I: Regular Papers.

[12]  S. Pennisi,et al.  New analytical approach to evaluate harmonic distortion in nonlinear feedback amplifiers , 2005, Proceedings of the 2005 European Conference on Circuit Theory and Design, 2005..

[13]  Salvatore Pennisi,et al.  Feedback amplifiers: a simplified analysis of harmonic distortion in the frequency domain , 2001, ICECS 2001. 8th IEEE International Conference on Electronics, Circuits and Systems (Cat. No.01EX483).

[14]  Andrzej Borys On analysis of harmonic distortion in op amps based circuits via Volterra series , 2016, 2016 MIXDES - 23rd International Conference Mixed Design of Integrated Circuits and Systems.

[15]  Gaetano Palumbo,et al.  Harmonic distortion in single-stage amplifiers , 2002, 2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353).

[16]  Bumman Kim,et al.  Linearity analysis of CMOS for RF application , 2002, 2002 IEEE MTT-S International Microwave Symposium Digest (Cat. No.02CH37278).

[17]  M. Steer,et al.  Nonlinear circuit analysis using the method of harmonic balance—A review of the art. Part I. Introductory concepts , 1991 .

[18]  Yuxing Zhang,et al.  Distortion Modeling of Feedback Two-Stage Amplifier Compensated With Miller Capacitor and Nulling Resistor , 2012, IEEE Transactions on Circuits and Systems I: Regular Papers.

[19]  Dani Tannir,et al.  Adjoint Sensitivity Analysis of Nonlinear Distortion in Radio Frequency Circuits , 2011, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems.

[20]  B. Linares-Barranco,et al.  Nonlinear time-domain macromodeling of OTA circuits , 1989, IEEE International Symposium on Circuits and Systems,.

[21]  Guoyong Shi,et al.  Symbolic Distortion Analysis of Multistage Amplifiers , 2019, IEEE Transactions on Circuits and Systems I: Regular Papers.

[22]  G. Palumbo,et al.  High-frequency harmonic distortion in feedback amplifiers: analysis and applications , 2003 .

[23]  Kenneth W. Martin,et al.  Analog integrated circuit design. 2nd ed. , 2012 .

[24]  Gerd Vandersteen,et al.  Analysis and compact behavioral modeling of nonlinear distortion in analog communication circuits , 2003, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[25]  Dani Tannir Direct Sensitivity Analysis of Nonlinear Distortion in RF Circuits Using Multidimensional Moments , 2015, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems.

[26]  Paul-Peter Sotiriadis,et al.  State-space harmonic distortion modeling in weakly nonlinear, fully balanced G/sub m/-C filters-a modular approach resulting in closed-form solutions , 2006, IEEE Transactions on Circuits and Systems I: Regular Papers.

[27]  Gaetano Palumbo,et al.  An approach to model high-frequency distortion in negative-feedback amplifiers , 2008, Int. J. Circuit Theory Appl..

[28]  G. Palumbo,et al.  Harmonic distortion in three-stage nested-Miller-compensated amplifiers , 2004, 2004 IEEE International Symposium on Circuits and Systems (IEEE Cat. No.04CH37512).

[29]  B. Nauta,et al.  Wideband Balun-LNA With Simultaneous Output Balancing, Noise-Canceling and Distortion-Canceling , 2008, IEEE Journal of Solid-State Circuits.

[30]  S. Pennisi,et al.  Distortion analysis of three-stage amplifiers with reversed nested-Miller compensation , 2005, Proceedings of the 2005 European Conference on Circuit Theory and Design, 2005..

[31]  Lawrence T. Pileggi,et al.  Efficient per-nonlinearity distortion analysis for analog and RF circuits , 2003, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[32]  Paolo Stefano Crovetti Finite Common-Mode Rejection in Fully Differential Nonlinear Circuits , 2011, IEEE Transactions on Circuits and Systems II: Express Briefs.