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Faster, parametric trajectory-based macromodels via localized linear reductions

Published: 05 November 2006 Publication History

Abstract

Trajectory-based methods offer an attractive methodology for automated, on-demand generation of macromodels for custom circuits. These models are generated by sampling the state trajectory of a circuit as it simulates in the time domain, and building macromodels by reducing and interpolating among the linearizations created at a suitably spaced subset of the time points visited during training simulations. However, a weak point in conventional trajectory models is the reliance on a single, global reduction matrix for the state space. We develop a new, faster method that generates and weaves together a larger set of smaller localized linearizations for the trajectory samples. The method not only improves speedups to 30X over SPICE, but as a side benefit also provides a platform for parametric small-signal simulation of circuits with variational device/process parameters, at a speedup of roughly 200X over SPICE.

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      cover image ACM Conferences
      ICCAD '06: Proceedings of the 2006 IEEE/ACM international conference on Computer-aided design
      November 2006
      147 pages
      ISBN:1595933891
      DOI:10.1145/1233501
      Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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      Published: 05 November 2006

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      • (2012)Model Order Reduction for Nonlinear Eddy Current ProblemsIFAC Proceedings Volumes10.3182/20120215-3-AT-3016.0013145:2(740-745)Online publication date: 2012
      • (2012)Characterization of Analog Circuits Using Transfer Function TrajectoriesIEEE Transactions on Circuits and Systems I: Regular Papers10.1109/TCSI.2011.218043859:8(1796-1804)Online publication date: Aug-2012
      • (2012)Trajectory based methods for nonlinear MOR: Review and perspectives2012 IEEE International Conference on Signal Processing, Computing and Control10.1109/ISPCC.2012.6224366(1-6)Online publication date: Mar-2012
      • (2012)Advances in variation-aware modeling, verification, and testing of analog ICs2012 Design, Automation & Test in Europe Conference & Exhibition (DATE)10.1109/DATE.2012.6176730(1615-1620)Online publication date: Mar-2012
      • (2011)Efficient analytical macromodeling of large analog circuits by transfer function trajectoriesProceedings of the International Conference on Computer-Aided Design10.5555/2132325.2132351(91-94)Online publication date: 7-Nov-2011
      • (2011)Efficient analytical macromodeling of large analog circuits by Transfer Function TrajectoriesProceedings of the 2011 IEEE/ACM International Conference on Computer-Aided Design10.1109/ICCAD.2011.6105311(91-94)Online publication date: 7-Nov-2011
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