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Abstract: Most RF circuit analysis tools use either shooting-Newton or harmonic balance methods. Neither can efficiently achieve high accuracy on strongly nonlinear circuits possessing waveforms with rapid transitions. We present a multi-interval-Chebyshev (MIC) method that discretizes the circuit equations by dividing the simulation domain into a set of intervals whose size is adaptively chosen and using Chebyshev polynomials to represent the solution in each interval. The MIC method has excellent... (Update)
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.... into a set of intervals whose size is adaptively chosen and using Chebyshev polynomials to represent the solution in each interval [12]. On each interval, the time derivative operator is replaced by a Chebyshev differentiation matrix, and continuity between the interval...
...(timestep) in order to ensure the accuracy of the signal model. This is often combined with adaptive stepsize control. In [13], a polynomial based approach is presented, that allows you to make a trade off between timestep and polynomial order. When dealing with...
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BibTeX entry: (Update)
B. Yang and J. Phillips, "A multi-interval Chebyshev collocation method for efficient high-accuracy RF circuit simulaiton ", Proc. DAC, June 2000. http://citeseer.ist.psu.edu/yang00multiinterval.html More
@inproceedings{ yang00multiinterval,
author = "Baolin Yang and Joel R. Phillips",
title = "A multi-interval Chebyshev collocation method for efficient high-accuracy {RF} circuit simulation",
booktitle = "Design Automation Conference",
pages = "178-183",
year = "2000",
url = "citeseer.ist.psu.edu/yang00multiinterval.html" }
Citations (may not include all citations):191 Solving Ordinary Differential Equations II (context) - Hairer, Wanner - 1991
89 Numerical Analysis of Spectral Methods: Theory and Applicati.. (context) - Gottlieb, Orszag - 1977
35 A Practical Guide to Pseudospectral Methods (context) - Fornberg - 1996
17 Nonlinear circuit analysis using the method of harmonic bala.. (context) - Gilmore, Steer - 1991
10 Accuracy and Speed in Computing the Chebyshev Collocation De.. (context) - Don, Solomonoff
10 Efficient AC and Noise Analysis of Two-Tone RF Circuits - Telichevesky, Kundert et al. - 1996
9 Spectral Simulations of Electromagnetic Wave Scattering (context) - Yang, Gottlieb et al. - 1997
7 Full chip harmonic balance - Long, Melville et al. - 1997
6 Introduction to RF simulation and its applications - Kundert - 1999
2 Time-Mapped Harmonic Balance - Nastov, White - 1999
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