Compact modeling of nonlinear analog circuits using system identification via semidefinite programming and incremental stability certification

Authors:
Bradley N. Bond;Zohaib Mahmood;Yan Li;Ranko Sredojević;Alexandre Megretski;Vladimir Stojanović;Yehuda Avniel;Luca Daniel
Affiliations:
Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, Cambridge, MA;Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, Cambridge, MA;Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, Cambridge, MA;Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, Cambridge, MA;Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, Cambridge, MA;Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, Cambridge, MA;Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, Cambridge, MA;Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, Cambridge, MA
Venue:
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Year:
2010

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Abstract

This paper presents a system identification technique for generating stable compact models of typical analog circuit blocks in radio frequency systems. The identification procedure is based on minimizing the model error over a given training data set subject to an incremental stability constraint, which is formulated as a semidefinite optimization problem. Numerical results are presented for several analog circuits, including a distributed power amplifier, as well as a MEM device. It is also shown that our dynamical models can accurately predict important circuit performance metrics, and may thus, be useful for design optimization of analog systems.