Name
Title | ||
|---|---|---|
General-Purpose Nonlinear Model-Order Reduction Using Piecewise-Polynomial Representations |
Abstract | ||
|---|---|---|
We present algorithms for automated macromodeling of nonlinear mixed-signal system blocks. A key feature of our methods is that they automate the generation of general-purpose macromodels that are suitable for a wide range of time- and frequency-domain analyses important in mixed-signal design flows. In our approach, a nonlinear circuit or system is approximated using piecewise-polynomial (PWP) representations. Each polynomial system is reduced to a smaller one via weakly nonlinear polynomial model-reduction methods. Our approach, dubbed PWP, generalizes recent trajectory-based piecewise-linear approaches and ties them with polynomial-based model-order reduction, which inherently captures stronger nonlinearities within each region. PWP-generated macromodels not only reproduce small-signal distortion and intermodulation properties well but also retain fidelity in large-signal transient analyses. The reduced models can be used as drop-in replacements for large subsystems to achieve fast system-level simulation using a variety of time- and frequency-domain analyses (such as dc, ac, transient, harmonic balance, etc.). For the polynomial reduction step within PWP, we also present a novel technique [dubbed multiple pseudoinput (MPI)] that combines concepts from proper orthogonal decomposition with Krylov-subspace projection. We illustrate the use of PWP and MPI with several examples (including op-amps and I/O buffers) and provide important implementation details. Our experiments indicate that it is easy to obtain speedups of about an order of magnitude with push-button nonlinear macromodel-generation algorithms. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1109/TCAD.2007.907272 | IEEE Trans. on CAD of Integrated Circuits and Systems |
Keywords | DocType | Volume |
general-purpose macromodels,frequency-domain analysis,nonlinear mixed-signal system block,nonlinear circuit,PWP-generated macromodels,Piecewise-Polynomial Representations,important implementation detail,large-signal transient analysis,General-Purpose Nonlinear Model-Order Reduction,weakly nonlinear polynomial model-reduction,polynomial reduction step,polynomial system | Journal | 27 |
Issue | ISSN | Citations |
2 | 0278-0070 | 25 |
PageRank | References | Authors |
1.71 | 31 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ning Dong | 1 | 104 | 9.45 |
| J. Roychowdhury | 2 | 25 | 1.71 |