2011
DOI: 10.1007/978-3-642-22453-9_34
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Adaptive Wavelet-Based Method for Simulation of Electronic Circuits

Abstract: In this paper we present an algorithm for analog simulation of electronic circuits involving a spline Galerkin method with wavelet-based adaptive refinement. Numerical tests show that a first algorithm prototype, build within a productively used in-house circuit simulator, is completely able to meet and even surpass the accuracy requirements and has a performance close to classical time-domain simulation methods, with high potential for further improvement.

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Cited by 6 publications
(14 citation statements)
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“…The periodic boundary value problem (3) can be solved by several methods, as Shooting, Finite Differences, Harmonic Balance, etc. Here, we consider the spline wavelet based method introduced by the authors in [19], following ideas from [20,21]. One problem of traditional methods is that all signals in the circuit are discretized over the same grid.…”
Section: The Multirate Circuit Simulation Problemmentioning
confidence: 99%
“…The periodic boundary value problem (3) can be solved by several methods, as Shooting, Finite Differences, Harmonic Balance, etc. Here, we consider the spline wavelet based method introduced by the authors in [19], following ideas from [20,21]. One problem of traditional methods is that all signals in the circuit are discretized over the same grid.…”
Section: The Multirate Circuit Simulation Problemmentioning
confidence: 99%
“…Here, we present results from an adaptive circuit simulation method. Details about the method can be found in [7][8][9][10] so that we will give only a short introduction here. By a Modified Nodal Analysis [28,31] (which is based on Kirchhoff's laws and device modells) one obtains the cirquit equations is not invertible, i.e., (7.1) is a system of differential algebraic equations (DAE).…”
Section: Algorithmmentioning
confidence: 99%
“…Furthermore, we introduce an adaptive spline approximation method with adaptive grid refinement. These algorithms were used to develop a wavelet based adaptive method for circuit simulation [7][8][9][10]. In this context the use of wavelets on non-uniform grids appears to be much more suitable than a method based on uniform wavelets.…”
mentioning
confidence: 99%
“…The periodic problem (4.2) can be solved by a collocation or Galerkin method, where X k (t) is expanded in a periodic basis {φ k } (as a Fourier, B-spline, or wavelet basis) and tested at collocation points or integrated against test functions (see e.g. Dautbegovic 2012b, Bittner andDautbegovic 2012a)). This leads to a nonlinear system This means, that we are still minimizing the distance of X k (t) and X k−1 (t), although with respect to a slightly modified measure.…”
Section: )mentioning
confidence: 99%
“…Thus, using the Harmonic Balance method is not suited for the solution of the problem, in particular since the use of a frequency divider results in a wide frequency range of the solution. Therefore, the periodic problem is solved by an adaptive spline wavelet method described in Dautbegovic 2012b, Bittner andDautbegovic 2012a). The quality of the estimate of ω(τ ) is essential for the efficiency of the method, because this results in a good initial guess for the solution and the spline grid in Newton's method.…”
Section: Fig 51 Control and Feedback Signal Of The Pllmentioning
confidence: 99%