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Compact trajectory-based behavioural models for analogue circuits

Compact trajectory-based behavioural models for analogue circuits

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A technique for automated generation of compact behavioural models is presented. The extracted models are capable of capturing highly nonlinear systems with good accuracy. The proposed technique is an extension to the well known trajectory-based piecewise models, where local expansions of the state trajectory are stitched together using weighting functions. This idea is combined with response surface models for generating compact models in standard VHDL-AMS that enable widespread use of trajectory-based models.

References

    1. 1)
      • N. Dong , L. Roychowdhury , T. Inc , T. Dallas . General-purpose nonlinear model-order reduction using piecewise-polynomial representations. IEEE Trans. Comput.-Aided Des. Integr. Circuits Syst. , 2 , 249 - 264
    2. 2)
      • Rewienski, M.: `A trajectory piecewise-linear approach to model order reduction of nonlinear dynamical systems', 2003, PhD, MIT.
    3. 3)
      • R. Freund . Krylov-subspace methods for reduced-order modeling in circuit simulation. J. Comput. Appl. Math. , 395 - 421
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